Mocktest

1. Physical World and Measurements

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Question 1/197
4 / -1

Mark Review

Identify the physical quantity that cannot be measured using spherometer :

[27-Jan-2024 Shift 1]

Identify the physical quantity that cannot be measured using spherometer :

[27-Jan-2024 Shift 1]

A
Radius of curvature of concave surface
Radius of curvature of concave surface

B
Specific rotation of liquids
Specific rotation of liquids

C
Thickness of thin plates
Thickness of thin plates

D
Radius of curvature of convex surface
Radius of curvature of convex surface
Question 2/197
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Mark Review

Given below are two statements: one is labelled as Assertion(A) and the other is labelled as Reason (R).

Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.
Reason (R) : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.

In the light of the above statements, choose the correct answer from the options given below :

[27-Jan-2024 Shift 2]

Given below are two statements: one is labelled as Assertion(A) and the other is labelled as Reason (R).

Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.
Reason (R) : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.

In the light of the above statements, choose the correct answer from the options given below :

[27-Jan-2024 Shift 2]

A
Both (A) and (R) are correct and (R) is the correct explanation of (A)
Both (A) and (R) are correct and (R) is the correct explanation of (A)

B
Both (A) and (R) are correct but (R) is not the correct explanation of (A)
Both (A) and (R) are correct but (R) is not the correct explanation of (A)

C
(A) is true but (R) is false
(A) is true but (R) is false

D
(A) is false but (R) is true
(A) is false but (R) is true
Question 3/197
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Mark Review

If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0.5 mm, the Vernier constant of travelling microscope is:

[30-Jan-2024 Shift 2]

If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0.5 mm, the Vernier constant of travelling microscope is:

[30-Jan-2024 Shift 2]

A
0.1 mm
0.1 mm

B
0.1 cm
0.1 cm

C
0.01 cm
0.01 cm

D
0.01 mm
0.01 mm
Question 4/197
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Mark Review

The measured value of the length of a simple pendulum is 20cm with 2mm accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is N%. The value of N is:

[31-Jan-2024 Shift 2]

The measured value of the length of a simple pendulum is 20cm with 2mm accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is N%. The value of N is:

[31-Jan-2024 Shift 2]

A
4
4

B
8
8

C
6
6

D
5
5
Question 5/197
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Mark Review

The resistance R = V/1 where V = (200 ± 5)V and I = (20 ± 0.2)A, the percentage error in the measurement of R is :

[29-Jan-2024 Shift 1]

The resistance R = V/1 where V = (200 ± 5)V and I = (20 ± 0.2)A, the percentage error in the measurement of R is :

[29-Jan-2024 Shift 1]

A
3.5%
3.5%

B
7%
7%

C
3%
3%

D
5.5%
5.5%
Question 6/197
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Mark Review

A physical quantity Q is found to depend on quantities a, b, c by the relation Q = a⁴b³/c². The percentage error in a, b and c are 3%,4% and 5% respectively. Then, the percentage error in Q is :

[29-Jan-2024 Shift 2]

A physical quantity Q is found to depend on quantities a, b, c by the relation Q = a⁴b³/c². The percentage error in a, b and c are 3%,4% and 5% respectively. Then, the percentage error in Q is :

[29-Jan-2024 Shift 2]

A
66%
66%

B
43%
43%

C
34%
34%

D
14%
14%
Question 7/197
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Mark Review

A vector has magnitude same as that of The x and y components of this vector in first quadrant are x and 3 respectively where x =____

[30-Jan-2024 Shift 2]

A vector has magnitude same as that of The x and y components of this vector in first quadrant are x and 3 respectively where x =____

[30-Jan-2024 Shift 2]
Question 8/197
4 / -1

Mark Review

If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error in measuring its resistance will be:

[31-Jan-2024 Shift 1]

If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error in measuring its resistance will be:

[31-Jan-2024 Shift 1]

A
0.2%
0.2%

B
0.3%
0.3%

C
0.1%
0.1%

D
0.144%
0.144%
Question 9/197
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Mark Review

If two vectors having equal magnitude R are inclined at an angle θ, then

[31-Jan-2024 Shift 2]

If two vectors having equal magnitude R are inclined at an angle θ, then

[31-Jan-2024 Shift 2]

A

B

C

D
Question 10/197
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Mark Review

Given below are two statements :

Statement (I) : Planck's constant and angular momentum have same dimensions.
Statement (II) : Linear momentum and moment of force have same dimensions.

In the light of the above statements, choose the correct answer from the options given below :

[27-Jan-2024 Shift 1]

Given below are two statements :

Statement (I) : Planck's constant and angular momentum have same dimensions.
Statement (II) : Linear momentum and moment of force have same dimensions.

In the light of the above statements, choose the correct answer from the options given below :

[27-Jan-2024 Shift 1]

A
Statement I is true but Statement II is false
Statement I is true but Statement II is false

B
Both Statement I and Statement II are false
Both Statement I and Statement II are false

C
Both Statement I and Statement II are true
Both Statement I and Statement II are true

D
Statement I is false but Statement II is true
Statement I is false but Statement II is true
Question 11/197
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Mark Review

The equation of state of a real gas is given by (V − b) = RT, where P,V and T are pressure. volume and temperature respectively and R is the universal gas constant. The dimensions of a/b² is similar to that of :

[27-Jan-2024 Shift 2]

The equation of state of a real gas is given by (V − b) = RT, where P,V and T are pressure. volume and temperature respectively and R is the universal gas constant. The dimensions of a/b² is similar to that of :

[27-Jan-2024 Shift 2]

A
PV
PV

B
P
P

C
RT
RT

D
R
R
Question 12/197
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Mark Review

Match List-I with List-II.

[30-Jan-2024 Shift 1]

Match List-I with List-II.

[30-Jan-2024 Shift 1]

A
A-II, B-I, C-IV, D-III
A-II, B-I, C-IV, D-III

B
A-I, B-II, C-III, D-IV
A-I, B-II, C-III, D-IV

C
A-III, B-IV, C-II, D-I
A-III, B-IV, C-II, D-I

D
A-IV B-III C-II. D-I
A-IV B-III C-II. D-I
Question 13/197
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Mark Review

If mass is written as m = kc^PG^−1∕2h^1∕2 then the value of P will be : (Constants have their usual meaning with k a dimensionless constant)

[30-Jan-2024 Shift 2]

If mass is written as m = kc^PG^−1∕2h^1∕2 then the value of P will be : (Constants have their usual meaning with k a dimensionless constant)

[30-Jan-2024 Shift 2]

A
1/2
1/2

B
1/3
1/3

C
2
2

D
1/4
1/4
Question 14/197
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Mark Review

A force is represented by F = ax² + bt^1∕2

Where x = distance and t = time. The dimensions of b²∕a are :

[31-Jan-2024 Shift 1]

A force is represented by F = ax² + bt^1∕2

Where x = distance and t = time. The dimensions of b²∕a are :

[31-Jan-2024 Shift 1]

A
[ML³T⁻³]
[ML³T⁻³]

B
[MLT⁻²]
[MLT⁻²]

C
[ML⁻¹T⁻¹]
[ML⁻¹T⁻¹]

D
[ML²T⁻³]
[ML²T⁻³]
Question 15/197
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Mark Review

Consider two physical quantities A and B related to each other as E = where E, x and t have dimensions of energy,

[31-Jan-2024 Shift 2]

Consider two physical quantities A and B related to each other as E = where E, x and t have dimensions of energy,

[31-Jan-2024 Shift 2]

A
L⁻²M¹T⁰
L⁻²M¹T⁰

B
L²M⁻¹T¹
L²M⁻¹T¹

C
L⁻²M⁻¹T¹
L⁻²M⁻¹T¹

D
L⁰M⁻¹T¹
L⁰M⁻¹T¹
Question 16/197
4 / -1

Mark Review

The dimensional formula of angular impulse is :

[1-Feb-2024 Shift 1]

The dimensional formula of angular impulse is :

[1-Feb-2024 Shift 1]

A
[ML⁻²T⁻¹]
[ML⁻²T⁻¹]

B
[ML²T⁻²]
[ML²T⁻²]

C
[MLT⁻¹]
[MLT⁻¹]

D
[ML²T⁻¹]
[ML²T⁻¹]
Question 17/197
4 / -1

Mark Review

10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count of the instrument is :

[1-Feb-2024 Shift 1]

10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count of the instrument is :

[1-Feb-2024 Shift 1]

A
1/2
1/2

B
10/11
10/11

C
50/11
50/11

D
5/11
5/11
Question 18/197
4 / -1

Mark Review

The radius (r), length (l) and resistance (R) of a metal wire was measured in the laboratory as

The percentage error in resistivity of the material of the wire is :

[1-Feb-2024 Shift 1]

The radius (r), length (l) and resistance (R) of a metal wire was measured in the laboratory as

The percentage error in resistivity of the material of the wire is :

[1-Feb-2024 Shift 1]

A
25.6%
25.6%

B
39.9%
39.9%

C
37.3%
37.3%

D
35.6%
35.6%
Question 19/197
4 / -1

Mark Review

Choose the correct answer from the options given below :

Match List - I with List - II.

List - I
(Number) List - II
(Significant figure)

(A) 1001 (I) 3

(B) 010.1 (II) 4

(C) 100.100 (III) 5

(D) 0.0010010 (IV) 6

[1-Feb-2024 Shift 2]

Choose the correct answer from the options given below :

Match List - I with List - II.

List - I
(Number) List - II
(Significant figure)

(A) 1001 (I) 3

(B) 010.1 (II) 4

(C) 100.100 (III) 5

(D) 0.0010010 (IV) 6

[1-Feb-2024 Shift 2]

A
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)

B
(A)-(IV), (B)-(III), (C)-(I), (D)-(II)
(A)-(IV), (B)-(III), (C)-(I), (D)-(II)

C
(A)-(II), (B)-(I), (C)-(IV), (D)-(III)
(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

D
(A)-(I), (B)-(II), (C)-(III), (D)-(IV)
(A)-(I), (B)-(II), (C)-(III), (D)-(IV)
Question 20/197
4 / -1

Mark Review

Match List I with List II

[24-Jan-2023 Shift 1]

Match List I with List II

[24-Jan-2023 Shift 1]

A
A-III, B-I, C-II, D-IV
A-III, B-I, C-II, D-IV

B
A-III, B-IV, C-I, D-II
A-III, B-IV, C-I, D-II

C
A-II, B-IV, C-III, D-I
A-II, B-IV, C-III, D-I

D
A-I, B-III, C-IV, D-II
A-I, B-III, C-IV, D-II
Question 21/197
4 / -1

Mark Review

The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density (ρ) of liquid and the surface tension (s) of the liquid as : v=raρb sc. The values of a,b and c respectively are

[24-Jan-2023 Shift 2]

The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density (ρ) of liquid and the surface tension (s) of the liquid as : v=raρb sc. The values of a,b and c respectively are

[24-Jan-2023 Shift 2]

A
(−‌
3
2
,−‌
1
2
,‌
1
2
)
(−‌
3
2
,−‌
1
2
,‌
1
2
)

B
(‌
3
2
,−‌
1
2
,‌
1
2
)
(‌
3
2
,−‌
1
2
,‌
1
2
)

C
(‌
3
2
,‌
1
2
,−‌
1
2
)
(‌
3
2
,‌
1
2
,−‌
1
2
)

D
(−‌
3
2
,‌
1
2
,‌
1
2
)
(−‌
3
2
,‌
1
2
,‌
1
2
)
Question 22/197
4 / -1

Mark Review

Match List I with List II

Choose the correct answer from the options given below :

[25-Jan-2023 Shift 1]

Match List I with List II

Choose the correct answer from the options given below :

[25-Jan-2023 Shift 1]

A
A-IV, B-III, C- II, D- I
A-IV, B-III, C- II, D- I

B
A-IV, B-III, C-I, D-II
A-IV, B-III, C-I, D-II

C
A-III, B-IV, C-I, D-II
A-III, B-IV, C-I, D-II

D
A-II, B-I, C-III, D-IV
A-II, B-I, C-III, D-IV
Question 23/197
4 / -1

Mark Review

Match List I with List II

Choose the correct answer from the options given below:

[25-Jan-2023 Shift 2]

Match List I with List II

Choose the correct answer from the options given below:

[25-Jan-2023 Shift 2]

A
A-II, B-III, C-IV, D-I
A-II, B-III, C-IV, D-I

B
A-III, B-I, C-II, D-IV
A-III, B-I, C-II, D-IV

C
A-I, B-III, C-IV, D-II
A-I, B-III, C-IV, D-II

D
A-I, B-II, C-III, D-IV
A-I, B-II, C-III, D-IV
Question 24/197
4 / -1

Mark Review

Match List I with List II :

Choose the correct answer from the options given below:

[29-Jan-2023 Shift 1]

Match List I with List II :

Choose the correct answer from the options given below:

[29-Jan-2023 Shift 1]

A
A-III, B-II, C-I, D-IV
A-III, B-II, C-I, D-IV

B
A-II, B-III, C-IV, D-I
A-II, B-III, C-IV, D-I

C
A-III, B-II, C-IV, D-I
A-III, B-II, C-IV, D-I

D
A-II, B-III, C-I, D-IV
A-II, B-III, C-I, D-IV
Question 25/197
4 / -1

Mark Review

The equation of a circle is given by x2+y2=a2, where a is the radius. If the equation is modified to change the origin other than (0,0), then find out the correct dimensions of A and B in a new equation: (x−At)2+(y−‌
t
B
)2=a2.
The dimensions of t is given as [T−1].

[29-Jan-2023 Shift 2]

The equation of a circle is given by x2+y2=a2, where a is the radius. If the equation is modified to change the origin other than (0,0), then find out the correct dimensions of A and B in a new equation: (x−At)2+(y−‌
t
B
)2=a2.
The dimensions of t is given as [T−1].

[29-Jan-2023 Shift 2]

A
A=[L−1T],B=[LT−1]
A=[L−1T],B=[LT−1]

B
A=(LT],B=[L−1T−1]
A=(LT],B=[L−1T−1]

C
A=[L−1T−1],B=[LT−1]
A=[L−1T−1],B=[LT−1]

D
A=[L−1T−1],B=[LT]
A=[L−1T−1],B=[LT]
Question 26/197
4 / -1

Mark Review

Electric field in a certain region is given by
→
E
=(‌
A
x2
⋀
i
+‌
B
y3
⋀
j
). The SI unit of A and B are :

[30-Jan-2023 Shift 1]

Electric field in a certain region is given by
→
E
=(‌
A
x2
⋀
i
+‌
B
y3
⋀
j
). The SI unit of A and B are :

[30-Jan-2023 Shift 1]

A
Nm3C−1;Nm2C−1
Nm3C−1;Nm2C−1

B
Nm2C−1;Nm3C−1
Nm2C−1;Nm3C−1

C
Nm3C;Nm2C
Nm3C;Nm2C

D
Nm2C;Nm3C
Nm2C;Nm3C
Question 27/197
4 / -1

Mark Review

Match List I with List II.

Choose the correct answer from the options given below :

[30-Jan-2023 Shift 2]

Match List I with List II.

Choose the correct answer from the options given below :

[30-Jan-2023 Shift 2]

A
A-IV, B-III, C-I, D-II
A-IV, B-III, C-I, D-II

B
A-I, B-IV, C-III, D-II
A-I, B-IV, C-III, D-II

C
A-IV, B-I, C-II, D-III
A-IV, B-I, C-II, D-III

D
A-IV, B-I, C-III, D-II
A-IV, B-I, C-III, D-II
Question 28/197
4 / -1

Mark Review

If R,XL and XC represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:

[31-Jan-2023 Shift 1]

If R,XL and XC represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:

[31-Jan-2023 Shift 1]

A
RXLXC
RXLXC

B
‌
R
√XLXC

‌
R
√XLXC

C
‌
R
XLXC

‌
R
XLXC

D
R‌
XL
XC
R‌
XL
XC
Question 29/197
4 / -1

Mark Review

Match List-I with List-II.

Choose the correct answer from the options given below:
[31-Jan-2023 Shift 2]

Match List-I with List-II.

Choose the correct answer from the options given below:
[31-Jan-2023 Shift 2]

A
A-I, B-IV, C-III, D-II
A-I, B-IV, C-III, D-II

B
A-III, B-I, C-IV, D-II
A-III, B-I, C-IV, D-II

C
A-II, B-III, C-IV, D-I
A-II, B-III, C-IV, D-I

D
A-IV, B-II, C-I, D-III
A-IV, B-II, C-I, D-III
Question 30/197
4 / -1

Mark Review

Vectors a
∧
i
+b
∧
j
+
∧
k
and 2
∧
i
−3
∧
j
+4
∧
k
are perpendicular to each other when 3a+2b=7, the ratio of a to b is ‌
x
2
. The value of x is____
[24-Jan-2023 Shift 1]

Vectors a
∧
i
+b
∧
j
+
∧
k
and 2
∧
i
−3
∧
j
+4
∧
k
are perpendicular to each other when 3a+2b=7, the ratio of a to b is ‌
x
2
. The value of x is____
[24-Jan-2023 Shift 1]
Question 31/197
4 / -1

Mark Review

If two vectors
→
P
=
^
i
+2m
^
j
+mk and
→
Q
=4
^
i
−2
^
j
+mk are perpendicular to each other.
Then, the value of m will be :
[24-Jan-2023 Shift 2]

If two vectors
→
P
=
^
i
+2m
^
j
+mk and
→
Q
=4
^
i
−2
^
j
+mk are perpendicular to each other.
Then, the value of m will be :
[24-Jan-2023 Shift 2]

A
1
1

B
−1
−1

C
−3
−3

D
2
2
Question 32/197
4 / -1

Mark Review

If
→
P
=3
^
i
+√3
^
j
+2
^
k
and
→
Q
=4
^
i
+√3
^
j
+2.5
^
k
then, The unit vector in the direction of
→
P
×
→
Q
is ‌
1
x
(√3
^
i
+
^
j
−2√3
^
k
). The value of x is

[25-Jan-2023 Shift 1]

If
→
P
=3
^
i
+√3
^
j
+2
^
k
and
→
Q
=4
^
i
+√3
^
j
+2.5
^
k
then, The unit vector in the direction of
→
P
×
→
Q
is ‌
1
x
(√3
^
i
+
^
j
−2√3
^
k
). The value of x is

[25-Jan-2023 Shift 1]
Question 33/197
4 / -1

Mark Review

In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of the glass slab as 5.25‌mm and apparent thickness of the glass slab at 5.00‌mm. Travelling microscope has 20 divisions in one cm on main scale and 50 divisions on Vernier scale is equal to 49 divisions on main scale. The estimated uncertainty in the measurement of refractive index of the slab is ‌
x
10
×10−3, where x is ________
[29-Jan-2023 Shift 2]

In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of the glass slab as 5.25‌mm and apparent thickness of the glass slab at 5.00‌mm. Travelling microscope has 20 divisions in one cm on main scale and 50 divisions on Vernier scale is equal to 49 divisions on main scale. The estimated uncertainty in the measurement of refractive index of the slab is ‌
x
10
×10−3, where x is ________
[29-Jan-2023 Shift 2]
Question 34/197
4 / -1

Mark Review

In a metre bridge experiment the balance point in obtained if the gaps are closed by 2Ω and 3Ω. A shunt of XΩ is added to 3Ω resistor to shift the balancing point by 22.5‌cm. The value of X is _______

[29-Jan-2023 Shift 1]

In a metre bridge experiment the balance point in obtained if the gaps are closed by 2Ω and 3Ω. A shunt of XΩ is added to 3Ω resistor to shift the balancing point by 22.5‌cm. The value of X is _______

[29-Jan-2023 Shift 1]
Question 35/197
4 / -1

Mark Review

A null point is found at 200‌cm in potentiometer when cell in secondary circuit is shunted by 5Ω. When a resistance of 15Ω is used for shunting null point moves to 300‌cm. The internal resistance of the cell is ______ Ω.
[29-Jan-2023 Shift 2]

A null point is found at 200‌cm in potentiometer when cell in secondary circuit is shunted by 5Ω. When a resistance of 15Ω is used for shunting null point moves to 300‌cm. The internal resistance of the cell is ______ Ω.
[29-Jan-2023 Shift 2]
Question 36/197
4 / -1

Mark Review

In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5‌mm on a complete rotation of the circular scale. The zero of circular scale lies 6 divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, 4 linear scale divisions are clearly visible while 46‌th ‌ division the circular scale coincide with the reference line. The diameter of the wire is _______ ×10−2‌mm.
[30-Jan-2023 Shift 1]

In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5‌mm on a complete rotation of the circular scale. The zero of circular scale lies 6 divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, 4 linear scale divisions are clearly visible while 46‌th ‌ division the circular scale coincide with the reference line. The diameter of the wire is _______ ×10−2‌mm.
[30-Jan-2023 Shift 1]
Question 37/197
4 / -1

Mark Review

(P+‌
a
V2
)(V−b)=RT represents the equation of state of some gases. Where P is the pressure, V is the volume, T is the temperature and a,b,R are the constants. The physical quantity, which has dimensional formula as that of ‌
b2
a
, will be :

[1-Feb-2023 Shift 1]

(P+‌
a
V2
)(V−b)=RT represents the equation of state of some gases. Where P is the pressure, V is the volume, T is the temperature and a,b,R are the constants. The physical quantity, which has dimensional formula as that of ‌
b2
a
, will be :

[1-Feb-2023 Shift 1]

A
Bulk modulus
Bulk modulus

B
Modulus of rigidity
Modulus of rigidity

C
Compressibility
Compressibility

D
Energy density
Energy density
Question 38/197
4 / -1

Mark Review

If the velocity of light c, universal gravitational constant G and planck's constant h are chosen as fundamental quantities. The dimensions of mass in the new system is:

[1-Feb-2023 Shift 2]

If the velocity of light c, universal gravitational constant G and planck's constant h are chosen as fundamental quantities. The dimensions of mass in the new system is:

[1-Feb-2023 Shift 2]

A
[h‌
1
2
c‌
1
2
G1]
[h‌
1
2
c‌
1
2
G1]

B
[h1c1G−1]
[h1c1G−1]

C
[h‌
1
2
c‌
1
2
G‌
1
2
]
[h‌
1
2
c‌
1
2
G‌
1
2
]

D
[h‌
1
2
c‌
1
2
G−‌
1
2
]
[h‌
1
2
c‌
1
2
G−‌
1
2
]
Question 39/197
4 / -1

Mark Review

In an experiment to find emf of a cell using potentiometer, the length of null point for a cell of emf 1.5V is found to be 60‌cm. If this cell is replaced by another cell of emf E. the length-of null point increases by 40‌cm. The value of E is ‌
x
10
V. The value of x is ________.
[1-Feb-2023 Shift 1]

In an experiment to find emf of a cell using potentiometer, the length of null point for a cell of emf 1.5V is found to be 60‌cm. If this cell is replaced by another cell of emf E. the length-of null point increases by 40‌cm. The value of E is ‌
x
10
V. The value of x is ________.
[1-Feb-2023 Shift 1]
Question 40/197
4 / -1

Mark Review

Dimension of ‌
1
µ0∈0
should be equal to

[8-Apr-2023 shift 1]

Dimension of ‌
1
µ0∈0
should be equal to

[8-Apr-2023 shift 1]

A
T∕L
T∕L

B
T2∕L2
T2∕L2

C
L∕T
L∕T

D
L2∕T2
L2∕T2
Question 41/197
4 / -1

Mark Review

Match List I with List II

Choose the correct answer from the options given below:

[8-Apr-2023 shift 2]

Match List I with List II

Choose the correct answer from the options given below:

[8-Apr-2023 shift 2]

A
A-III, B-IV, C-I, D-II
A-III, B-IV, C-I, D-II

B
A-II, B-I, C-IV, D-III
A-II, B-I, C-IV, D-III

C
A-IV, B-II, C-III, D-I
A-IV, B-II, C-III, D-I

D
A-II, B-IV, C-I, D-III
A-II, B-IV, C-I, D-III
Question 42/197
4 / -1

Mark Review

Given below are two statements :
Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.
Statements II : Au< Parsec (Pc)< ly
In the light of the above statements, choose the most appropriate answer from the options given below :

[11-Apr-2023 shift 1]

Given below are two statements :
Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.
Statements II : Au< Parsec (Pc)< ly
In the light of the above statements, choose the most appropriate answer from the options given below :

[11-Apr-2023 shift 1]

A
Both Statements I and Statements II are incorrect.
Both Statements I and Statements II are incorrect.

B
Both Statements I and Statements II are correct.
Both Statements I and Statements II are correct.

C
Statements I is incorrect but Statements II are correct.
Statements I is incorrect but Statements II are correct.

D
Statements I is correct but Statements II are incorrect.
Statements I is correct but Statements II are incorrect.
Question 43/197
4 / -1

Mark Review

If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:

[11-Apr-2023 shift 2]

If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:

[11-Apr-2023 shift 2]

A
FV−2T2
FV−2T2

B
FV4T−6
FV4T−6

C
FV−4T−2
FV−4T−2

D
F2V−2T6
F2V−2T6
Question 44/197
4 / -1

Mark Review

Choose the correct answer from the options given below :

[12-Apr-2023 shift 1]

Choose the correct answer from the options given below :

[12-Apr-2023 shift 1]

A
A-II, B-III, C-I, D-IV
A-II, B-III, C-I, D-IV

B
A-IV, B-I, C-III, D-II
A-IV, B-I, C-III, D-II

C
A-I, B-III, C-II, D-IV
A-I, B-III, C-II, D-IV

D
A-II, B-I, C-IV, D-III
A-II, B-I, C-IV, D-III
Question 45/197
4 / -1

Mark Review

In the equation [x+‌
a
y2
][Y−b]=RT,X is pressure, Y is volume, R is universal gas constant ant T is temperature. The physical quantity equivalent to the ratio ‌
a
b
is :

[13-Apr-2023 shift 2]

In the equation [x+‌
a
y2
][Y−b]=RT,X is pressure, Y is volume, R is universal gas constant ant T is temperature. The physical quantity equivalent to the ratio ‌
a
b
is :

[13-Apr-2023 shift 2]

A
Coefficient of viscosity
Coefficient of viscosity

B
Energy
Energy

C
Impulse
Impulse

D
Pressure gradient
Pressure gradient
Question 46/197
4 / -1

Mark Review

The speed of a wave produced in water is given by v=λagbρc. Where λ,g and ρ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of a,b and c respectively, are :

[15-Apr-2023 shift 1]

The speed of a wave produced in water is given by v=λagbρc. Where λ,g and ρ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of a,b and c respectively, are :

[15-Apr-2023 shift 1]

A
‌
1
2
,0,‌
1
2

‌
1
2
,0,‌
1
2

B
1,−1,0
1,−1,0

C
‌
1
2
,‌
1
2
,0
‌
1
2
,‌
1
2
,0

D
1,1,0
1,1,0
Question 47/197
4 / -1

Mark Review

Two resistances are given as R1=(10±0.5)Ω and R2=(15±0.5)Ω. The percentage error in the measurement of equivalent resistance when they are connected in parallel is -

[6-Apr-2023 shift 1]

Two resistances are given as R1=(10±0.5)Ω and R2=(15±0.5)Ω. The percentage error in the measurement of equivalent resistance when they are connected in parallel is -

[6-Apr-2023 shift 1]

A
2.33
2.33

B
4.33
4.33

C
5.33
5.33

D
6.33
6.33
Question 48/197
4 / -1

Mark Review

The length of a metallic wire is increased by 20% and its area of cross section is reduced by 4%. The percentage change in resistance of the metallic wire is ________
[6-Apr-2023 shift 1]

The length of a metallic wire is increased by 20% and its area of cross section is reduced by 4%. The percentage change in resistance of the metallic wire is ________
[6-Apr-2023 shift 1]
Question 49/197
4 / -1

Mark Review

Two forces having magnitude A and ‌
A
2
are perpendicular to each other. The magnitude of their resultant is:

[8-Apr-2023 shift 1]

Two forces having magnitude A and ‌
A
2
are perpendicular to each other. The magnitude of their resultant is:

[8-Apr-2023 shift 1]

A
‌
5A
2

‌
5A
2

B
‌
√5A2
2

‌
√5A2
2

C
‌
√5A
4

‌
√5A
4

D
‌
√5A
2
‌
√5A
2
Question 50/197
4 / -1

Mark Review

A physical quantity P is given as
P=‌
a2b3
c√d

The percentage error in the measurement of a,b,c and d are 1%,2%,3% and 4% respectively. The percentage error in the measurement of quantity P will be

[10-Apr-2023 shift 1]

A physical quantity P is given as
P=‌
a2b3
c√d

The percentage error in the measurement of a,b,c and d are 1%,2%,3% and 4% respectively. The percentage error in the measurement of quantity P will be

[10-Apr-2023 shift 1]

A
14%
14%

B
13%
13%

C
16%
16%

D
12%
12%
Question 51/197
4 / -1

Mark Review

Three forces F1=10N,F2=8N,F3=6N are acting on a particle of mass 5‌kg. The forces F2 and F3 are applied perpendicularly so that particle remains at rest. If the force F1 is removed, then the acceleration of the particle is :

[12-Apr-2023 shift 1]

Three forces F1=10N,F2=8N,F3=6N are acting on a particle of mass 5‌kg. The forces F2 and F3 are applied perpendicularly so that particle remains at rest. If the force F1 is removed, then the acceleration of the particle is :

[12-Apr-2023 shift 1]

A
4.8ms−2
4.8ms−2

B
0.5ms−2
0.5ms−2

C
7ms−2
7ms−2

D
2ms−2
2ms−2
Question 52/197
4 / -1

Mark Review

A vector in x−y plane makes an angle of 30∘ with y-axis. The magnitude of y-component of vector is 2√3. The magnitude of x-component of the vector will be :

[15-Apr-2023 shift 1]

A vector in x−y plane makes an angle of 30∘ with y-axis. The magnitude of y-component of vector is 2√3. The magnitude of x-component of the vector will be :

[15-Apr-2023 shift 1]

A
2
2

B
√3
√3

C
‌
1
√3

‌
1
√3

D
6
6
Question 53/197
4 / -1

Mark Review

In an experiment with vernier calipers of least count 0.1‌mm, when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6‌th ‌ division of vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of vernier scale lies in between 3.2‌cm and 3.3‌cm marks, and 4‌th ‌ division of vernier scale coincides with the main scale division. The diameter of bob is measured as

[10-Apr-2023 shift 2]

In an experiment with vernier calipers of least count 0.1‌mm, when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6‌th ‌ division of vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of vernier scale lies in between 3.2‌cm and 3.3‌cm marks, and 4‌th ‌ division of vernier scale coincides with the main scale division. The diameter of bob is measured as

[10-Apr-2023 shift 2]

A
3.25‌cm
3.25‌cm

B
3.22‌cm
3.22‌cm

C
3.18‌cm
3.18‌cm

D
3.26‌cm
3.26‌cm
Question 54/197
4 / -1

Mark Review

Identify the pair of physical quantities which have different dimensions:

[24-Jun-2022-Shift-1]

Identify the pair of physical quantities which have different dimensions:

[24-Jun-2022-Shift-1]

A
Wave number and Rydberg's constant
Wave number and Rydberg's constant

B
Stress and Coefficient of elasticity
Stress and Coefficient of elasticity

C
Coercivity and Magnetisation
Coercivity and Magnetisation

D
Specific heat capacity and Latent heat
Specific heat capacity and Latent heat
Question 55/197
4 / -1

Mark Review

Identify the pair of physical quantities that have same dimensions:

[24-Jun-2022-Shift-2]

Identify the pair of physical quantities that have same dimensions:

[24-Jun-2022-Shift-2]

A
velocity gradient and decay constant
velocity gradient and decay constant

B
Wien's constant and Stefan constant
Wien's constant and Stefan constant

C
angular frequency and angular momentum
angular frequency and angular momentum

D
wave number and Avogadro number
wave number and Avogadro number
Question 56/197
4 / -1

Mark Review

An expression for a dimensionless quantity P is given by P=‌
α
β
loge(‌
kt
βx
); where α and β are constants, x is distance; k is Boltzmann constant and t is the temperature. Then the dimensions of α will be :

[26-Jun-2022-Shift-1]

An expression for a dimensionless quantity P is given by P=‌
α
β
loge(‌
kt
βx
); where α and β are constants, x is distance; k is Boltzmann constant and t is the temperature. Then the dimensions of α will be :

[26-Jun-2022-Shift-1]

A
[M0L−1T0]
[M0L−1T0]

B
[ML0T−2]
[ML0T−2]

C
[MLT−2]
[MLT−2]

D
[ML2T−2]
[ML2T−2]
Question 57/197
4 / -1

Mark Review

The dimension of mutual inductance is :

[26-Jun-2022-Shift-2]

The dimension of mutual inductance is :

[26-Jun-2022-Shift-2]

A
[ML2T−2A−1]
[ML2T−2A−1]

B
[ML2T−3A−1]
[ML2T−3A−1]

C
[ML2T−2A−2]
[ML2T−2A−2]

D
[ML2T−3A−2]
[ML2T−3A−2]
Question 58/197
4 / -1

Mark Review

The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :

[27-Jun-2022-Shift-2]

The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :

[27-Jun-2022-Shift-2]

A
[ML−1T−1]
[ML−1T−1]

B
[ML−1T−2]
[ML−1T−2]

C
[ML2T−1]
[ML2T−1]

D
[M−1L3T0]
[M−1L3T0]
Question 59/197
4 / -1

Mark Review

If L,C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

[27-Jun-2022-Shift-2]

If L,C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

[27-Jun-2022-Shift-2]

A
RC
RC

B
‌
L
R

‌
L
R

C
√LC
√LC

D
‌
L
C
‌
L
C
Question 60/197
4 / -1

Mark Review

In van der Waal equation [P+‌
a
V2
][V−b]=RT;P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants ‌
a
b
is dimensionally equal to:

[29-Jun-2022-Shift-1]

In van der Waal equation [P+‌
a
V2
][V−b]=RT;P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants ‌
a
b
is dimensionally equal to:

[29-Jun-2022-Shift-1]

A
‌
P
V

‌
P
V

B
‌
V
P

‌
V
P

C
PV
PV

D
PV3
PV3
Question 61/197
4 / -1

Mark Review

If Z=‌
A2B3
C4
, then the relative error in Z will be :

[25-Jun-2022-Shift-1]

If Z=‌
A2B3
C4
, then the relative error in Z will be :

[25-Jun-2022-Shift-1]

A
‌
∆A
A
+‌
∆B
B
+‌
∆C
C

‌
∆A
A
+‌
∆B
B
+‌
∆C
C

B
‌
2∆A
A
+‌
3∆B
B
−‌
4∆C
C

‌
2∆A
A
+‌
3∆B
B
−‌
4∆C
C

C
‌
2∆A
A
+‌
3∆B
B
+‌
4∆C
C

‌
2∆A
A
+‌
3∆B
B
+‌
4∆C
C

D
‌
∆A
A
+‌
∆B
B
−‌
∆C
C
‌
∆A
A
+‌
∆B
B
−‌
∆C
C
Question 62/197
4 / -1

Mark Review

→
A
is a vector quantity such that |
→
A
|= non-zero constant. Which of the following expression is true for
→
A
?

[25-Jun-2022-Shift-1]

→
A
is a vector quantity such that |
→
A
|= non-zero constant. Which of the following expression is true for
→
A
?

[25-Jun-2022-Shift-1]

A

→
A
⋅
→
A
=0

→
A
⋅
→
A
=0

B

→
A
×
→
A
<0

→
A
×
→
A
<0

C

→
A
×
→
A
=0

→
A
×
→
A
=0

D

→
A
×
→
A
>0

→
A
×
→
A
>0
Question 63/197
4 / -1

Mark Review

Which of the following relations is true for two unit vector
∧
A
and
∧
B
making an angle θ to each other?

[25-Jun-2022-Shift-1]

Which of the following relations is true for two unit vector
∧
A
and
∧
B
making an angle θ to each other?

[25-Jun-2022-Shift-1]

A
|
∧
A
+
∧
B
|=|
∧
A
−
∧
B
|tan‌
θ
2

|
∧
A
+
∧
B
|=|
∧
A
−
∧
B
|tan‌
θ
2

B
|
∧
A
−
∧
B
|=|
∧
A
+
∧
B
|tan‌
θ
2

|
∧
A
−
∧
B
|=|
∧
A
+
∧
B
|tan‌
θ
2

C
|
∧
A
+
∧
B
|=|
∧
A
−
∧
B
|cos‌
θ
2

|
∧
A
+
∧
B
|=|
∧
A
−
∧
B
|cos‌
θ
2

D
|
∧
A
−
∧
B
|=|
∧
A
+
∧
B
|cos‌
θ
2
|
∧
A
−
∧
B
|=|
∧
A
+
∧
B
|cos‌
θ
2
Question 64/197
4 / -1

Mark Review

For z=a2x3y‌
1
2
, where 'a' is a constant. If percentage error in measurement of ' x ' and ' y ' are 4% and 12% respectively, then the percentage error for 'z' will be ______ %
[25-Jun-2022-Shift-2]

For z=a2x3y‌
1
2
, where 'a' is a constant. If percentage error in measurement of ' x ' and ' y ' are 4% and 12% respectively, then the percentage error for 'z' will be ______ %
[25-Jun-2022-Shift-2]
Question 65/197
4 / -1

Mark Review

A silver wire has a mass (0.6±0.006)g, radius (0.5±0.005)‌mm and length (4±0.04)‌cm. The maximum percentage error in the measurement of its density will be :

[27-Jun-2022-Shift-1]

A silver wire has a mass (0.6±0.006)g, radius (0.5±0.005)‌mm and length (4±0.04)‌cm. The maximum percentage error in the measurement of its density will be :

[27-Jun-2022-Shift-1]

A
4%
4%

B
3%
3%

C
6%
6%

D
7%
7%
Question 66/197
4 / -1

Mark Review

The distance of the Sun from earth is 1.5×1011m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be :

[27-Jun-2022-Shift-2]

The distance of the Sun from earth is 1.5×1011m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be :

[27-Jun-2022-Shift-2]

A
2.45×1010m
2.45×1010m

B
1.45×1010m
1.45×1010m

C
1.45×109m
1.45×109m

D
0.14×109m
0.14×109m
Question 67/197
4 / -1

Mark Review

Two vectors
→
A
and
→
B
have equal magnitudes. If magnitude of
→
A
+
→
B
is equal to two times the magnitude of
→
A
−
→
B
, then the angle between
→
A
and
→
B
will be :

[29-Jun-2022-Shift-1]

Two vectors
→
A
and
→
B
have equal magnitudes. If magnitude of
→
A
+
→
B
is equal to two times the magnitude of
→
A
−
→
B
, then the angle between
→
A
and
→
B
will be :

[29-Jun-2022-Shift-1]

A
sin−1(‌
3
5
)
sin−1(‌
3
5
)

B
sin−1(‌
1
3
)
sin−1(‌
1
3
)

C
cos−1(‌
3
5
)
cos−1(‌
3
5
)

D
cos−1(‌
1
3
)
cos−1(‌
1
3
)
Question 68/197
4 / -1

Mark Review

In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be _____×10−2‌mm
[26-Jun-2022-Shift-1]

In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be _____×10−2‌mm
[26-Jun-2022-Shift-1]
Question 69/197
4 / -1

Mark Review

A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1‌cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is ____× 10−6m.
[26-Jun-2022-Shift-2]

A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1‌cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is ____× 10−6m.
[26-Jun-2022-Shift-2]
Question 70/197
4 / -1

Mark Review

A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22‌mm,1.23‌mm,1.19‌mm and 1.20‌mm. The percentage error is ‌
x
121
%. The value of x is
[28-Jun-2022-Shift-2]

A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22‌mm,1.23‌mm,1.19‌mm and 1.20‌mm. The percentage error is ‌
x
121
%. The value of x is
[28-Jun-2022-Shift-2]
Question 71/197
4 / -1

Mark Review

The Vernier constant of Vernier callipers is 0.1‌mm and it has zero error of (−0.05)‌cm. While measuring diameter of a sphere, the main scale reading is 1.7‌cm and coinciding vernier division is 5 . The corrected diameter will be ____×10−2‌cm
[29-Jun-2022-Shift-2]

The Vernier constant of Vernier callipers is 0.1‌mm and it has zero error of (−0.05)‌cm. While measuring diameter of a sphere, the main scale reading is 1.7‌cm and coinciding vernier division is 5 . The corrected diameter will be ____×10−2‌cm
[29-Jun-2022-Shift-2]
Question 72/197
4 / -1

Mark Review

If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is:

[25-Jul-2022-Shift-1]

If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is:

[25-Jul-2022-Shift-1]

A
[PA−1T0]
[PA−1T0]

B
[PAT−1]
[PAT−1]

C
[PA−1T]
[PA−1T]

D
[PA−1T−1]
[PA−1T−1]
Question 73/197
4 / -1

Mark Review

A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :

[27-Jul-2022-Shift-1]

A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :

[27-Jul-2022-Shift-1]

A
15%
15%

B
25%
25%

C
75%
75%

D
5%
5%
Question 74/197
4 / -1

Mark Review

An expression of energy density is given by u=‌
α
β
‌sin(‌
αx
kt
), where α,β are constants, x is displacement, k is Boltzmann constant and t is the temperature. The dimensions of β will be :

[27-Jul-2022-Shift-2]

An expression of energy density is given by u=‌
α
β
‌sin(‌
αx
kt
), where α,β are constants, x is displacement, k is Boltzmann constant and t is the temperature. The dimensions of β will be :

[27-Jul-2022-Shift-2]

A
[ML2T−2θ−1]
[ML2T−2θ−1]

B
[M0L2T−2]
[M0L2T−2]

C
[M0L0T0]
[M0L0T0]

D
[M0L2T0]
[M0L2T0]
Question 75/197
4 / -1

Mark Review

The dimensions of (‌
B2
µ0
) will be :
(if µ0 : permeability of free space and B : magnetic field)
[28-Jul-2022-Shift-1]

The dimensions of (‌
B2
µ0
) will be :
(if µ0 : permeability of free space and B : magnetic field)
[28-Jul-2022-Shift-1]

A
⌈ML2T−2⌋
⌈ML2T−2⌋

B
[MLT−2]
[MLT−2]

C
⌈ML−1T−2⌋
⌈ML−1T−2⌋

D
⌈ML2T−2A−1⌋
⌈ML2T−2A−1⌋
Question 76/197
4 / -1

Mark Review

Consider the efficiency of carnot's engine is given by η=‌
αβ
sinθ
‌log‌e‌
βx
kT
, where α and β are constants. If T is temperature, k is Boltzmann constant, θ is angular displacement and x has the dimensions of length. Then, choose the incorrect option:

[28-Jul-2022-Shift-2]

Consider the efficiency of carnot's engine is given by η=‌
αβ
sinθ
‌log‌e‌
βx
kT
, where α and β are constants. If T is temperature, k is Boltzmann constant, θ is angular displacement and x has the dimensions of length. Then, choose the incorrect option:

[28-Jul-2022-Shift-2]

A
Dimensions of β is same as that of force.

Dimensions of β is same as that of force.

B
Dimensions of α−1x is same as that of energy.

Dimensions of α−1x is same as that of energy.

C
Dimensions of η−1‌sin‌θ is same as that of αβ

Dimensions of η−1‌sin‌θ is same as that of αβ

D
Dimensions of α is same as that of β.
Dimensions of α is same as that of β.
Question 77/197
4 / -1

Mark Review

Match List I with List II.

Choose the correct answer from the options given below :

[29-Jul-2022-Shift-2]

Match List I with List II.

Choose the correct answer from the options given below :

[29-Jul-2022-Shift-2]

A
A-III, B-II, C-I, D-IV
A-III, B-II, C-I, D-IV

B
A-III, B-IV, C-II, D-I
A-III, B-IV, C-II, D-I

C
A-IV, B-I, C-III, D-II
A-IV, B-I, C-III, D-II

D
A-II, B-III, C-I, D-IV
A-II, B-III, C-I, D-IV
Question 78/197
4 / -1

Mark Review

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1%,2% and 3% respectively. The maximum percentage error in the detection of the dissipated heat will be :

[25-Jul-2022-Shift-2]

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1%,2% and 3% respectively. The maximum percentage error in the detection of the dissipated heat will be :

[25-Jul-2022-Shift-2]

A
2
2

B
4
4

C
6
6

D
8
8
Question 79/197
4 / -1

Mark Review

If
→
A
=(2
∧
i
+3
∧
j
−
∧
k
)m and
→
B
=(
∧
i
+2
∧
j
+2
∧
k
)m. The magnitude of component of vector
→
A
along vector
→
B
will be m.
[26-Jul-2022-Shift-2]

If
→
A
=(2
∧
i
+3
∧
j
−
∧
k
)m and
→
B
=(
∧
i
+2
∧
j
+2
∧
k
)m. The magnitude of component of vector
→
A
along vector
→
B
will be m.
[26-Jul-2022-Shift-2]
Question 80/197
4 / -1

Mark Review

The one division of main scale of Vernier callipers reads 1‌mm and 10 divisions of Vernier scale is equal to the 9 divisions on main scale. When the two jaws of the instrument touch each other, the zero of the Vernier lies to the right of zero of the main scale and its fourth division coincides with a main scale division. When a spherical bob is tightly placed between the two jaws, the zero of the Vernier scale lies in between 4.1‌cm and 4.2‌cm and 6‌th ‌ Vernier division coincides scale division. The diameter of the bob will be ________ ×10−2‌cm.
[27-Jul-2022-Shift-1]

The one division of main scale of Vernier callipers reads 1‌mm and 10 divisions of Vernier scale is equal to the 9 divisions on main scale. When the two jaws of the instrument touch each other, the zero of the Vernier lies to the right of zero of the main scale and its fourth division coincides with a main scale division. When a spherical bob is tightly placed between the two jaws, the zero of the Vernier scale lies in between 4.1‌cm and 4.2‌cm and 6‌th ‌ Vernier division coincides scale division. The diameter of the bob will be ________ ×10−2‌cm.
[27-Jul-2022-Shift-1]
Question 81/197
4 / -1

Mark Review

If the projection of 2
∧
i
+4
∧
j
−2
∧
k
on
∧
i
+2
∧
j
+α
∧
k
is zero. Then, the value of α will be _______.
[28-Jul-2022-Shift-1]

If the projection of 2
∧
i
+4
∧
j
−2
∧
k
on
∧
i
+2
∧
j
+α
∧
k
is zero. Then, the value of α will be _______.
[28-Jul-2022-Shift-1]
Question 82/197
4 / -1

Mark Review

In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of 0.5 s is measured from time of 100 oscillation with a watch of 1 s resolution. If measured value of length is 10‌cm known to 1‌mm accuracy, The accuracy in the determination of g is found to be x%. The value of x is________.
[28-Jul-2022-Shift-2]

In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of 0.5 s is measured from time of 100 oscillation with a watch of 1 s resolution. If measured value of length is 10‌cm known to 1‌mm accuracy, The accuracy in the determination of g is found to be x%. The value of x is________.
[28-Jul-2022-Shift-2]
Question 83/197
4 / -1

Mark Review

A screw gauge of pitch 0.5‌mm is used to measure the diameter of uniform wire of length 6.8‌cm, the main scale reading is 1.5‌mm and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is :
[Screw gauge has 50 divisions on its circular scale]
[26-Jul-2022-Shift-1]

A screw gauge of pitch 0.5‌mm is used to measure the diameter of uniform wire of length 6.8‌cm, the main scale reading is 1.5‌mm and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is :
[Screw gauge has 50 divisions on its circular scale]
[26-Jul-2022-Shift-1]

A
6.8cm2
6.8cm2

B
3.4cm2
3.4cm2

C
3.9cm2
3.9cm2

D
2.4cm2
2.4cm2
Question 84/197
4 / -1

Mark Review

In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of zero of the main scale and 4‌th ‌ Vernier scale division exactly coincides with the main scale reading. One main scale division is equal to 1‌mm. While measuring diameter of a spherical body, the body is held between two jaws. It is now observed that zero of the Vernier scale lies between 30 and 31 divisions of main scale reading and 6‌th ‌ Vernier scale division exactly coincides with the main scale reading. The diameter of the spherical body will be :

[26-Jul-2022-Shift-2]

In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of zero of the main scale and 4‌th ‌ Vernier scale division exactly coincides with the main scale reading. One main scale division is equal to 1‌mm. While measuring diameter of a spherical body, the body is held between two jaws. It is now observed that zero of the Vernier scale lies between 30 and 31 divisions of main scale reading and 6‌th ‌ Vernier scale division exactly coincides with the main scale reading. The diameter of the spherical body will be :

[26-Jul-2022-Shift-2]

A
3.02‌cm
3.02‌cm

B
3.06‌cm
3.06‌cm

C
3.10‌cm
3.10‌cm

D
3.20‌cm
3.20‌cm
Question 85/197
4 / -1

Mark Review

In a meter bridge experiment, for measuring unknown resistance ' S ', the null point is obtained at a distance 30‌cm from the left side as shown at point D. If R is 5.6kΩ, then the value of unknown resistance 'S' will be _______ Ω.

[27-Jul-2022-Shift-1]

In a meter bridge experiment, for measuring unknown resistance ' S ', the null point is obtained at a distance 30‌cm from the left side as shown at point D. If R is 5.6kΩ, then the value of unknown resistance 'S' will be _______ Ω.

[27-Jul-2022-Shift-1]
Question 86/197
4 / -1

Mark Review

In an experiment with a convex lens, The plot of the image distance (v′) against the object distance (µ′) measured from the focus gives a curve v′µ′=225. If all the distances are measured in cm. The magnitude of the focal length of the lens is ____cm
[28-Jul-2022-Shift-2]

In an experiment with a convex lens, The plot of the image distance (v′) against the object distance (µ′) measured from the focus gives a curve v′µ′=225. If all the distances are measured in cm. The magnitude of the focal length of the lens is ____cm
[28-Jul-2022-Shift-2]
Question 87/197
4 / -1

Mark Review

A travelling microscope has 20 divisions per cm on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?
[29-Jul-2022-Shift-1]

A travelling microscope has 20 divisions per cm on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?
[29-Jul-2022-Shift-1]

A
0.001‌cm
0.001‌cm

B
0.002‌mm
0.002‌mm

C
0.002‌cm
0.002‌cm

D
0.005‌cm
0.005‌cm
Question 88/197
4 / -1

Mark Review

In an experiment to find out the diameter of wire using screw gauge, the following observations were noted :
(A) Screw moves 0.5‌mm on main scale in one complete rotation
(B) Total divisions on circular scale =50
(C) Main scale reading is 2.5‌mm
(D) 45‌th ‌ division of circular scale is in the pitch line
(E) Instrument has 0.03‌mm negative error
Then the diameter of wire is :
[29-Jul-2022-Shift-1]

In an experiment to find out the diameter of wire using screw gauge, the following observations were noted :

(A) Screw moves 0.5‌mm on main scale in one complete rotation
(B) Total divisions on circular scale =50
(C) Main scale reading is 2.5‌mm
(D) 45‌th ‌ division of circular scale is in the pitch line
(E) Instrument has 0.03‌mm negative error
Then the diameter of wire is :
[29-Jul-2022-Shift-1]

A
2.92‌mm
2.92‌mm

B
2.54‌mm
2.54‌mm

C
2.98‌mm
2.98‌mm

D
3.45‌mm
3.45‌mm
Question 89/197
4 / -1

Mark Review

The pitch of the screw gauge is 1mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while 72 nd division on circular scale coincides with the reference line. The radius of the wire is
[25 Feb 2021 Shift 1]

The pitch of the screw gauge is 1mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular scale lies 8 divisions below the reference line. When a wire is placed between the jaws, the first linear scale division is clearly visible while 72 nd division on circular scale coincides with the reference line. The radius of the wire is
[25 Feb 2021 Shift 1]

A
1.64mm
1.64mm

B
0.82mm
0.82mm

C
1.80mm
1.80mm

D
0.90mm
0.90mm
Question 90/197
4 / -1

Mark Review

A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mechanical equivalent of heat is J, the rise in heat energy per unit volume will be
[26 Feb 2021 Shift 1]

A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mechanical equivalent of heat is J, the rise in heat energy per unit volume will be
[26 Feb 2021 Shift 1]

A
‌
2T
J
(‌
1
r
−‌
1
R
)
‌
2T
J
(‌
1
r
−‌
1
R
)

B
‌
2T
r

‌
2T
r

C
‌
3T
rJ

‌
3T
rJ

D
‌
3T
J
(‌
1
r
−‌
1
R
)
‌
3T
J
(‌
1
r
−‌
1
R
)
Question 91/197
4 / -1

Mark Review

The period of oscillation of a simple pendulum is T=2π√‌
L
g
. Measured value of L is 1.0m from metre scale having a minimum division of 1mm and time of one complete oscillation is 1.95s measured from stopwatch of 0.01s resolution. The percentage error in the determination of g will be
[24 Feb 2021 Shift 2]

The period of oscillation of a simple pendulum is T=2π√‌
L
g
. Measured value of L is 1.0m from metre scale having a minimum division of 1mm and time of one complete oscillation is 1.95s measured from stopwatch of 0.01s resolution. The percentage error in the determination of g will be
[24 Feb 2021 Shift 2]

A
1.13%
1.13%

B
1.03%
1.03%

C
1.33%
1.33%

D
1.30%
1.30%
Question 92/197
4 / -1

Mark Review

If C and V represent capacity and voltage respectively, then what are the dimensions of λ, where ‌
C
V
=λ?
[26 Feb 2021 Shift 2]

If C and V represent capacity and voltage respectively, then what are the dimensions of λ, where ‌
C
V
=λ?
[26 Feb 2021 Shift 2]

A
[M−2L−3I2T6]
[M−2L−3I2T6]

B
[M−3L−4l3T7]
[M−3L−4l3T7]

C
[M−1L−3I−2T−1]
[M−1L−3I−2T−1]

D
[M−2L−4|3T7]
[M−2L−4|3T7]
Question 93/197
4 / -1

Mark Review

In a typical combustion engine, the work done by a gas molecule is given W=α2βe‌
−βx2
kT
, where x is the displacement, k is the Boltzmann constant and T is the temperature. If α and β are constants, dimensions of α will be
[26 Feb 2021 Shift 1]

In a typical combustion engine, the work done by a gas molecule is given W=α2βe‌
−βx2
kT
, where x is the displacement, k is the Boltzmann constant and T is the temperature. If α and β are constants, dimensions of α will be
[26 Feb 2021 Shift 1]

A
[MLT−2]
[MLT−2]

B
[M0LT0]
[M0LT0]

C
[M2LT−2]
[M2LT−2]

D
[MLT−1]
[MLT−1]
Question 94/197
4 / -1

Mark Review

Match List-I with List-II

Choose the correct answer from the options given below.
[25 Feb 2021 Shift 1]

Match List-I with List-II

Choose the correct answer from the options given below.
[25 Feb 2021 Shift 1]

A
(A-3), (B-4), (C-2), (D-1)
(A-3), (B-4), (C-2), (D-1)

B
(A-2), (B-3), (C-4), (D-1)
(A-2), (B-3), (C-4), (D-1)

C
(A-1), (B-2), (C-4), (D-3)
(A-1), (B-2), (C-4), (D-3)

D
(A-3), (B-2), (C-4), (D-1)
(A-3), (B-2), (C-4), (D-1)
Question 95/197
4 / -1

Mark Review

The work done by a gas molecule in an isolated system is given by, W=αβ2e−‌
x2
αkT
, where x is the displacement k is the Boltzmann constant and T is the temperature, α and β are constants. Then the dimension of β will be :

24Feb2021

The work done by a gas molecule in an isolated system is given by, W=αβ2e−‌
x2
αkT
, where x is the displacement k is the Boltzmann constant and T is the temperature, α and β are constants. Then the dimension of β will be :

24Feb2021

A
[ML2T−2]
[ML2T−2]

B
[MLT−2]
[MLT−2]

C
[M2LT2]
[M2LT2]

D
[M0LT0]
[M0LT0]
Question 96/197
4 / -1

Mark Review

Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01cm3 of oleic acid per cm3 of the solution. Then, you make a thin film of this solution (monomolecular thickness) of area 4cm2 by considering 100 spherical drops of radius (‌
3
40π
)‌
1
3
×10−3 cm2. Then, the thickness of oleic acid layer will be x×10−14m, where x is
[17 Mar 2021 Shift 2]

Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01cm3 of oleic acid per cm3 of the solution. Then, you make a thin film of this solution (monomolecular thickness) of area 4cm2 by considering 100 spherical drops of radius (‌
3
40π
)‌
1
3
×10−3 cm2. Then, the thickness of oleic acid layer will be x×10−14m, where x is
[17 Mar 2021 Shift 2]
Question 97/197
4 / -1

Mark Review

In order to determine the Young's modulus of a wire of radius 0.2cm (measured using a scale of least count =0.001cm ) and length 1m (measured using a scale of least count =1mm ), a weight of mass 1kg (measured using a scale of least count =1g ) was hanged to get the elongation of 0.5cm (measured using a scale of least count 0.001cm ). What will be the fractional error in the value of Young's modulus determined by this experiment?
[16 Mar 2021 Shift 2]

In order to determine the Young's modulus of a wire of radius 0.2cm (measured using a scale of least count =0.001cm ) and length 1m (measured using a scale of least count =1mm ), a weight of mass 1kg (measured using a scale of least count =1g ) was hanged to get the elongation of 0.5cm (measured using a scale of least count 0.001cm ). What will be the fractional error in the value of Young's modulus determined by this experiment?
[16 Mar 2021 Shift 2]

A
0.14%
0.14%

B
0.9%
0.9%

C
9%
9%

D
1.4%
1.4%
Question 98/197
4 / -1

Mark Review

One main scale division of a vernier callipers is acm and nth division of the vernier scale coincide with ( n−1) th division of the main scal
[16 Mar 2021 Shift 1]

One main scale division of a vernier callipers is acm and nth division of the vernier scale coincide with ( n−1) th division of the main scal
[16 Mar 2021 Shift 1]

A
The least count of the callipers (in mm) is
The least count of the callipers (in mm) is

B
‌
10na
(n−1)

‌
10na
(n−1)

C
‌
10a
(n−1)

‌
10a
(n−1)

D
(‌
n−1
10n
)a
(‌
n−1
10n
)a

E
‌
10a
n
‌
10a
n
Question 99/197
4 / -1

Mark Review

The resistance R=‌
V
I
, where V=(50±2)V and I=(20±0.2) A. The percentage error in R is x%. The value of x to the nearest integer is..........
[16 Mar 2021 Shift 1]

The resistance R=‌
V
I
, where V=(50±2)V and I=(20±0.2) A. The percentage error in R is x%. The value of x to the nearest integer is..........
[16 Mar 2021 Shift 1]
Question 100/197
4 / -1

Mark Review

A person is swimming with a speed of 10m/s at an angle of 120∘ with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is xm/s. The value of x to the nearest integer is .........
[18 Mar 2021 Shift 1]

A person is swimming with a speed of 10m/s at an angle of 120∘ with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is xm/s. The value of x to the nearest integer is .........
[18 Mar 2021 Shift 1]
Question 101/197
4 / -1

Mark Review

The vernier scale used for measurement has a positive zero error of 0.2mm. If while taking a measurement, it was noted that ' 0 ' on the vernier scale lies between 8.5cm and 8.6cm, vernier coincidence is 6 , then the correct value of measurement is ......... cm.

[17 Mar 2021 Shift 1]

The vernier scale used for measurement has a positive zero error of 0.2mm. If while taking a measurement, it was noted that ' 0 ' on the vernier scale lies between 8.5cm and 8.6cm, vernier coincidence is 6 , then the correct value of measurement is ......... cm.

[17 Mar 2021 Shift 1]

A
8.36
8.36

B
8.54
8.54

C
8.58
8.58

D
8.56
8.56
Question 102/197
4 / -1

Mark Review

Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is 5 mm and there are 50 total divisions on circular scale, then least count is 0.001 cm.
Reason R :
Least Count =
Pitch
Total divisionson circular scale

In the light of the above statements, choose the most appropriate answer from the options given below :

[27 Jul 2021 Shift 1]

Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gauge is 5 mm and there are 50 total divisions on circular scale, then least count is 0.001 cm.
Reason R :
Least Count =
Pitch
Total divisionson circular scale

In the light of the above statements, choose the most appropriate answer from the options given below :

[27 Jul 2021 Shift 1]

A
A is not correct but R is correct.

A is not correct but R is correct.

B
Both A and R are correct and R is the correct explanation of A.

Both A and R are correct and R is the correct explanation of A.

C
A is correct but R is not correct.

A is correct but R is not correct.

D
Both A and R are correct and R is NOT the correct explanation of A.
Both A and R are correct and R is NOT the correct explanation of A.
Question 103/197
4 / -1

Mark Review

The force is given in terms of time t and displacement x by the equation
F=A‌cos‌Bx+C‌sin‌Dt
The dimensional formula of
AD
B
is :
[25 Jul 2021 Shift 2]

The force is given in terms of time t and displacement x by the equation
F=A‌cos‌Bx+C‌sin‌Dt
The dimensional formula of
AD
B
is :
[25 Jul 2021 Shift 2]

A
[M0LT−1]
[M0LT−1]

B
[ML2T−3]
[ML2T−3]

C
[M1L1T−2]
[M1L1T−2]

D
[M2L2T−3]
[M2L2T−3]
Question 104/197
4 / -1

Mark Review

If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then thedimension of mass (m) in terms of t,v and l is :

[20 Jul 2021 Shift 2]

If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then thedimension of mass (m) in terms of t,v and l is :

[20 Jul 2021 Shift 2]

A
[t−1v1l−2]
[t−1v1l−2]

B
[t1v2l−1]
[t1v2l−1]

C
[t−2v−1l1]
[t−2v−1l1]

D
[t−1v−2l1]
[t−1v−2l1]
Question 105/197
4 / -1

Mark Review

The entropy of any system is given by
S=α2β‌ln[
µkR
Jβ2
+3]
where α and beta are the constants. mu,J,k and R are no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant respectively.
[Take S=
dQ
T
]
Choose the incorrect option from the following :
[20 Jul 2021 Shift 1]

The entropy of any system is given by
S=α2β‌ln[
µkR
Jβ2
+3]
where α and beta are the constants. mu,J,k and R are no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant respectively.
[Take S=
dQ
T
]
Choose the incorrect option from the following :
[20 Jul 2021 Shift 1]

A
α and J have the same dimensions.

α and J have the same dimensions.

B
S,β,k and µR have the same dimensions.

S,β,k and µR have the same dimensions.

C
S and α have different dimensions.

S and α have different dimensions.

D
α and k have the same dimensions.
α and k have the same dimensions.
Question 106/197
4 / -1

Mark Review

Student A and Student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The actual value of the radius of the wire is 0.322 cm. The absolute value of the difference between the final circular scale readings observed by the students A and B is ________.
[Figure shows position of reference 'O' when jaws of screw gauge are closed]
Given pitch = 0.1 cm.

[25 Jul 2021 Shift 1]

Student A and Student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a given wire. The actual value of the radius of the wire is 0.322 cm. The absolute value of the difference between the final circular scale readings observed by the students A and B is ________.
[Figure shows position of reference 'O' when jaws of screw gauge are closed]
Given pitch = 0.1 cm.

[25 Jul 2021 Shift 1]
Question 107/197
4 / -1

Mark Review

Three students S1,S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pendulum. They use different lengths of pendulum and record time for different number of oscillations. The observation same as shown in the table.

(Least count of length = 0.1 m
least count for time = 0.1 s)
If E1,E2 and E3 are the percentage errors in 'g' for students 1, 2 and 3 respectively, then the minimum percentage error is obtained by student no._____.
[22 Jul 2021 Shift 2]

Three students S1,S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pendulum. They use different lengths of pendulum and record time for different number of oscillations. The observation same as shown in the table.

(Least count of length = 0.1 m
least count for time = 0.1 s)
If E1,E2 and E3 are the percentage errors in 'g' for students 1, 2 and 3 respectively, then the minimum percentage error is obtained by student no._____.
[22 Jul 2021 Shift 2]
Question 108/197
4 / -1

Mark Review

The diameter of a spherical bob is measured using a Vernier callipers. 9 divisions of the main scale, in the vernier calipers, are equal to 10 divisions of vernier scale. One main scale division is 1‌mm. The main scale reading is 10‌mm and 8thdivision of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier callipers has positive zero error of 0.04 cm, then the radius of the bob is .......... ×10−2‌cm.
[31 Aug 2021 Shift 2]

The diameter of a spherical bob is measured using a Vernier callipers. 9 divisions of the main scale, in the vernier calipers, are equal to 10 divisions of vernier scale. One main scale division is 1‌mm. The main scale reading is 10‌mm and 8thdivision of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier callipers has positive zero error of 0.04 cm, then the radius of the bob is .......... ×10−2‌cm.
[31 Aug 2021 Shift 2]
Question 109/197
4 / -1

Mark Review

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is
[26 Aug 2021 Shift 2]

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is
[26 Aug 2021 Shift 2]

A
86.4s
86.4s

B
4.32s
4.32s

C
43.2s
43.2s

D
8.64s
8.64s
Question 110/197
4 / -1

Mark Review

In a screw gauge, 5th division of the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5‌mm on a complete rotation. For a particular observation the reading on the main scale is 5‌mm and the 20th division of the circular scale coincides with reference line. Calculate the true reading.
[26 Aug 2021 Shift 1]

In a screw gauge, 5th division of the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5‌mm on a complete rotation. For a particular observation the reading on the main scale is 5‌mm and the 20th division of the circular scale coincides with reference line. Calculate the true reading.
[26 Aug 2021 Shift 1]

A
5.00 mm
5.00 mm

B
5.25 mm
5.25 mm

C
5.15 mm
5.15 mm

D
5.20 mm
5.20 mm
Question 111/197
4 / -1

Mark Review

Which of the following equations is dimensionally incorrect? Where, t = time, h = height, s = surface tension, θ = angle, ρ = density, a, r = radius, g = acceleration due to gravity, V = volume, p = pressure, W = work done, τ = torque,ε = permittivity, E = electric field, J = current density, L = length.
[31 Aug 2021 Shift 1]

Which of the following equations is dimensionally incorrect? Where, t = time, h = height, s = surface tension, θ = angle, ρ = density, a, r = radius, g = acceleration due to gravity, V = volume, p = pressure, W = work done, τ = torque,ε = permittivity, E = electric field, J = current density, L = length.
[31 Aug 2021 Shift 1]

A
V=
πpa4
8ηL
V=
πpa4
8ηL

B
h=
2s‌cos‌θ
ρrg
h=
2s‌cos‌θ
ρrg

C
J=ε
∂E
∂t
J=ε
∂E
∂t

D
W=τθ
W=τθ
Question 112/197
4 / -1

Mark Review

If velocity [v], time [T] and force [F] are choosen as the base quantities, the dimensions of the mass will be
[31 Aug 2021 Shift 2]

If velocity [v], time [T] and force [F] are choosen as the base quantities, the dimensions of the mass will be
[31 Aug 2021 Shift 2]

A
[FT−1v−1]
[FT−1v−1]

B
[FTv−1]
[FTv−1]

C
[FT2v]
[FT2v]

D
[FvT−1]
[FvT−1]
Question 113/197
4 / -1

Mark Review

If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:
[27 Aug 2021 Shift 2]

If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:
[27 Aug 2021 Shift 2]

A
[FL−4T2]
[FL−4T2]

B
[FL−3T2]
[FL−3T2]

C
[FL−5T2]
[FL−5T2]

D
[FL−3T3]
[FL−3T3]
Question 114/197
4 / -1

Mark Review

Which of the following is not a dimensionless quantity?
[27 Aug 2021 Shift 1]

Which of the following is not a dimensionless quantity?
[27 Aug 2021 Shift 1]

A
Relative magnetic permeability (μr)
Relative magnetic permeability (μr)

B
Power factor
Power factor

C
Permeability of free space (μ0)
Permeability of free space (μ0)

D
Quality factor
Quality factor
Question 115/197
4 / -1

Mark Review

Match List-I with List-II.

Choose the most appropriate answer from the options given below.

[26 Aug 2021 Shift 2]

Match List-I with List-II.

Choose the most appropriate answer from the options given below.
[26 Aug 2021 Shift 2]

A
A-2 B-4 C-1 D-3
A-2 B-4 C-1 D-3

B
A-2 B-1 C-4 D-3
A-2 B-1 C-4 D-3

C
A-3 B-2 C-4 D-1
A-3 B-2 C-4 D-1

D
None of the above
None of the above
Question 116/197
4 / -1

Mark Review

If E,L,M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimension of P in the formula P=EL2M−5G−2 is
[26 Aug 2021 Shift 1]

If E,L,M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimension of P in the formula P=EL2M−5G−2 is
[26 Aug 2021 Shift 1]

A
[M0L1T0]
[M0L1T0]

B
[M−1L−1T2]
[M−1L−1T2]

C
[M1L1T−2]
[M1L1T−2]

D
[M0L0T0]
[M0L0T0]
Question 117/197
4 / -1

Mark Review

If E and H represent the intensity of electric field and magnetising field respectively, then the unit of E / H will be
[27 Aug 2021 Shift 1]

If E and H represent the intensity of electric field and magnetising field respectively, then the unit of E / H will be
[27 Aug 2021 Shift 1]

A
ohm
ohm

B
mho
mho

C
joule
joule

D
newton
newton
Question 118/197
4 / -1

Mark Review

Match List-I with List-II.

Choose the most appropriate answer from the options given below.
[27 Aug 2021 Shift 2]

Match List-I with List-II.

Choose the most appropriate answer from the options given below.
[27 Aug 2021 Shift 2]

A
A-2 B-3 C-4 D-1
A-2 B-3 C-4 D-1

B
A-3 B-2 C-4 D-1
A-3 B-2 C-4 D-1

C
A-4 B-2 C-1 D-3
A-4 B-2 C-1 D-3

D
A-3 B-2 C-1 D-4
A-3 B-2 C-1 D-4
Question 119/197
4 / -1

Mark Review

Two resistors R1=(4±0.8)Ω and R2=(4±0.4)Ω are connected in parallel. The equivalent resistance of their parallel combination will be
[1 Sep 2021 Shift 2]

Two resistors R1=(4±0.8)Ω and R2=(4±0.4)Ω are connected in parallel. The equivalent resistance of their parallel combination will be
[1 Sep 2021 Shift 2]

A
(4±0.4)Ω
(4±0.4)Ω

B
(2±0.4)Ω
(2±0.4)Ω

C
(2±0.3)Ω
(2±0.3)Ω

D
(4±0.3)Ω
(4±0.3)Ω
Question 120/197
4 / -1

Mark Review

A student determined Young's modulus of elasticity using the formula Y=
MgL3
4bd3δ
.
The value of g is taken to be 9.8m∕s2, without any significant error, his observations are as following.

Then, the fractional error in the measurement of Y is
[1 Sep 2021 Shift 2]

A student determined Young's modulus of elasticity using the formula Y=
MgL3
4bd3δ
.
The value of g is taken to be 9.8m∕s2, without any significant error, his observations are as following.

Then, the fractional error in the measurement of Y is
[1 Sep 2021 Shift 2]

A
0.0083
0.0083

B
0.0155
0.0155

C
0.155
0.155

D
0.083
0.083
Question 121/197
4 / -1

Mark Review

If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the circular scale the least count of the screw gauge is:
[9 Jan. 2020 I]

If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the circular scale the least count of the screw gauge is:
[9 Jan. 2020 I]

A
0.001 cm
0.001 cm

B
0.02 mm
0.02 mm

C
0.01 cm
0.01 cm

D
0.001 mm
0.001 mm
Question 122/197
4 / -1

Mark Review

For the four sets of three measured physical quantities as given below. Which of the following options is correct?
(A) A1=24.36,B1=0.0724,C1=256.2
(B) A2=24.44,B2=16.082,C2=240.2
(C) A3=25.2,B3=19.2812,C3=236.183
(D) AA=25,BA=236.191,CA=19.5
[9 Jan. 2020 II]

For the four sets of three measured physical quantities as given below. Which of the following options is correct?
(A) A1=24.36,B1=0.0724,C1=256.2
(B) A2=24.44,B2=16.082,C2=240.2
(C) A3=25.2,B3=19.2812,C3=236.183
(D) AA=25,BA=236.191,CA=19.5
[9 Jan. 2020 II]

A
A4+B4+C4<A1+B1+C1<A3+B3+C3<A2+B2+C2
A4+B4+C4<A1+B1+C1<A3+B3+C3<A2+B2+C2

B
A1+B1+C1=A2+B2+C2=A3+B3+C3=A4+B4+C4
A1+B1+C1=A2+B2+C2=A3+B3+C3=A4+B4+C4

C
A4+B4+C4<A1+B1+C1=A2+B2+C2=A3+B3+C3
A4+B4+C4<A1+B1+C1=A2+B2+C2=A3+B3+C3

D
A1+B1+C1<A3+B3+C3<A2+B2+C2<A4+B4+C4
A1+B1+C1<A3+B3+C3<A2+B2+C2<A4+B4+C4

E
None of the above
None of the above
Question 123/197
4 / -1

Mark Review

A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stop watch with 1 s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is:
[8 Jan. 2020 II]

A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0 cm and a stop watch with 1 s resolution measures the time taken for 40 oscillations to be 50 s. The accuracy in g is:
[8 Jan. 2020 II]

A
5.40%
5.40%

B
3.40%
3.40%

C
4.40%
4.40%

D
2.40%
2.40%
Question 124/197
4 / -1

Mark Review

Quantities The quantities x=1√µ0ε0,y=
E
B
and z=
1
CR
are defined where C -capacitance, R -Resistance, l -length, E -Electric field, B -magnetic field and ε0,µ0,− free space permittivity and permeability respectively. Then :
[Sep. 05,2020 (II)]

Quantities The quantities x=1√µ0ε0,y=
E
B
and z=
1
CR
are defined where C -capacitance, R -Resistance, l -length, E -Electric field, B -magnetic field and ε0,µ0,− free space permittivity and permeability respectively. Then :
[Sep. 05,2020 (II)]

A
x, y and z have the same dimension.
x, y and z have the same dimension.

B
Only x and z have the same dimension.
Only x and z have the same dimension.

C
Only x and y have the same dimension.
Only x and y have the same dimension.

D
Only y and z have the same dimension.
Only y and z have the same dimension.
Question 125/197
4 / -1

Mark Review

Dimensional formula for thermal conductivity is (here K denotes the temperature :
[Sep. 04, 2020 (I)]

Dimensional formula for thermal conductivity is (here K denotes the temperature :
[Sep. 04, 2020 (I)]

A
MLT–2K
MLT–2K

B
MLT–2K–2
MLT–2K–2

C
MLT–3K
MLT–3K

D
MLT–3K–1
MLT–3K–1
Question 126/197
4 / -1

Mark Review

A quantity x is given by (
IFv2
WL4
) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is same as that of :
[Sep. 04, 2020 (II)]

A quantity x is given by (
IFv2
WL4
) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is same as that of :
[Sep. 04, 2020 (II)]

A
planck’s constant
planck’s constant

B
force constant
force constant

C
energy density
energy density

D
coefficient of viscosity
coefficient of viscosity
Question 127/197
4 / -1

Mark Review

Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is :
[Sep. 03, 2020 (II)]

Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is :
[Sep. 03, 2020 (II)]

A
ML2T–2
ML2T–2

B
ML0T–3
ML0T–3

C
M2L0T–1
M2L0T–1

D
MLT–2
MLT–2
Question 128/197
4 / -1

Mark Review

If speed V, area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be :
[Sep. 02, 2020 (I)]

If speed V, area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be :
[Sep. 02, 2020 (I)]

A
FA2V−1
FA2V−1

B
FA2V−3
FA2V−3

C
FA2V−2
FA2V−2

D
FA−1V0
FA−1V0
Question 129/197
4 / -1

Mark Review

If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energy is :
[Sep. 02, 2020 (II)]

If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energy is :
[Sep. 02, 2020 (II)]

A
[P2AT−2]
[P2AT−2]

B
[PA−1T−2]
[PA−1T−2]

C
[PA
1
2
T−1]
[PA
1
2
T−1]

D
[P
1
2
AT−1]
[P
1
2
AT−1]
Question 130/197
4 / -1

Mark Review

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5 mm is noticed on the pitch scale. The nature of zero error involved, and the least count of the screw gauge, are respectively :
[Sep. 06, 2020 (I)]

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of 0.5 mm is noticed on the pitch scale. The nature of zero error involved, and the least count of the screw gauge, are respectively :
[Sep. 06, 2020 (I)]

A
Negative, 2 mm
Negative, 2 mm

B
Positive, 10 mm
Positive, 10 mm

C
Positive, 0.1 mm
Positive, 0.1 mm

D
Positive, 0.1 mm
Positive, 0.1 mm
Question 131/197
4 / -1

Mark Review

The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is (
x
100
)% . If the relative errors in measuring the mass and the diameter are 6.0% and 1.5% respectively, the value of x is ______.
[NA Sep. 06, 2020 (I)]

The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is (
x
100
)% . If the relative errors in measuring the mass and the diameter are 6.0% and 1.5% respectively, the value of x is ______.
[NA Sep. 06, 2020 (I)]
Question 132/197
4 / -1

Mark Review

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm, 5.55 mm, 5.45 mm, 5.65 mm, The average of these four reading is 5.5375 mm and the standard deviation of the data is 0.07395 mm. The average diameter of the pencil should therefore be recorded as :
[Sep. 06, 2020 (II)]

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm, 5.55 mm, 5.45 mm, 5.65 mm, The average of these four reading is 5.5375 mm and the standard deviation of the data is 0.07395 mm. The average diameter of the pencil should therefore be recorded as :
[Sep. 06, 2020 (II)]

A
(5.5375 ± 0.0739) mm
(5.5375 ± 0.0739) mm

B
(5.5375 ± 0.0740) mm
(5.5375 ± 0.0740) mm

C
(5.538 ± 0.074) mm
(5.538 ± 0.074) mm

D
(5.54 ± 0.07) mm
(5.54 ± 0.07) mm
Question 133/197
4 / -1

Mark Review

A physical quantity z depends on four observables a,b,c and d, as z=
a2b
2
3
√cd3
. The percentages of error in the measurement of a,b,c and d are 2%,1.5%,4% and 2.5% respectively. The percentage of error in z is :
[Sep. 05, 2020 (I)]

A physical quantity z depends on four observables a,b,c and d, as z=
a2b
2
3
√cd3
. The percentages of error in the measurement of a,b,c and d are 2%,1.5%,4% and 2.5% respectively. The percentage of error in z is :
[Sep. 05, 2020 (I)]

A
12.25%
12.25%

B
16.5%
16.5%

C
13.5%
13.5%

D
14.5%
14.5%
Question 134/197
4 / -1

Mark Review

Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as :
[Sep. 03, 2020 (I)]

Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as :
[Sep. 03, 2020 (I)]

A
2.121 cm
2.121 cm

B
2.124 cm
2.124 cm

C
2.125 cm
2.125 cm

D
2.123 cm
2.123 cm
Question 135/197
4 / -1

Mark Review

The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9 divisions of the main scale. When jaws are touching each other, the 7th division of vernier scale coincides with a division of main scale and the zero of vernier scale is lying right side of the zero of main scale. When this vernier is used to measure length of a cylinder the zero of the vernier scale between 3.1 cm and 3.2 cm and 4th VSD coincides with a main scale division. The length of the cylinder is : (VSD is vernier scale division)
[Sep. 02, 2020 (I)]

The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9 divisions of the main scale. When jaws are touching each other, the 7th division of vernier scale coincides with a division of main scale and the zero of vernier scale is lying right side of the zero of main scale. When this vernier is used to measure length of a cylinder the zero of the vernier scale between 3.1 cm and 3.2 cm and 4th VSD coincides with a main scale division. The length of the cylinder is : (VSD is vernier scale division)
[Sep. 02, 2020 (I)]

A
3.2 cm
3.2 cm

B
3.21 cm
3.21 cm

C
3.07 cm
3.07 cm

D
2.99 cm
2.99 cm
Question 136/197
4 / -1

Mark Review

The density of a material in SI unit is 128‌kg‌m−3. In certain units in which the unit of length is 25‌cm and the unit of mass is 50g, the numerical value of density of the material is:
[10 Jan. 2019 I]

The density of a material in SI unit is 128‌kg‌m−3. In certain units in which the unit of length is 25‌cm and the unit of mass is 50g, the numerical value of density of the material is:
[10 Jan. 2019 I]

A
40
40

B
16
16

C
640
640

D
410
410
Question 137/197
4 / -1

Mark Review

Let l,r,c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of
l
rcv
in SI units will be:
[12 Jan. 2019 II]

Let l,r,c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of
l
rcv
in SI units will be:
[12 Jan. 2019 II]

A
[LA−2]
[LA−2]

B
[A−1]
[A−1]

C
[LTA]
[LTA]

D
[LT2]
[LT2]
Question 138/197
4 / -1

Mark Review

The force of interaction between two atoms is given by F=αβ‌exp(−
x2
αkT
); where x is the distance, k is the Boltzmann constant and T is temperature and alpha and β are two constants. The dimensions of beta is:
[11 Jan. 2019 I ]

The force of interaction between two atoms is given by F=αβ‌exp(−
x2
αkT
); where x is the distance, k is the Boltzmann constant and T is temperature and alpha and β are two constants. The dimensions of beta is:
[11 Jan. 2019 I ]

A
M0L2T−4
M0L2T−4

B
M2LT−4
M2LT−4

C
MLT−2
MLT−2

D
M2L2T−2
M2L2T−2
Question 139/197
4 / -1

Mark Review

If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young's modulus will be:
[11 Jan. 2019 II]

If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young's modulus will be:
[11 Jan. 2019 II]

A
V−2A2F−2
V−2A2F−2

B
V−2A2F2
V−2A2F2

C
V−4A−2F
V−4A−2F

D
V−4A2F
V−4A2F
Question 140/197
4 / -1

Mark Review

A quantity f is given by f=√
hc5
G
where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of :
[ 9 Jan. 2019 I]

A quantity f is given by f=√
hc5
G
where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of :
[ 9 Jan. 2019 I]

A
area
area

B
energy
energy

C
momentum
momentum

D
volume
volume
Question 141/197
4 / -1

Mark Review

Expression for time in terms of G (universal gravitational constant), h (Planck's constant) and c (speed of light) is proportional to:
[9 Jan. 2019 II]

Expression for time in terms of G (universal gravitational constant), h (Planck's constant) and c (speed of light) is proportional to:
[9 Jan. 2019 II]

A
√
hc5
G
√
hc5
G

B
√
c3
Gh
√
c3
Gh

C
√
Gh
c5
√
Gh
c5

D
√
Gh
c3
√
Gh
c3
Question 142/197
4 / -1

Mark Review

The dimensions of stopping potential V0 in photoelectric effect in units of Planck's constant ' h ', speed of light ' c ' and Gravitational constant ' G ' and ampere A is:
[8 Jan. 2019 I]

The dimensions of stopping potential V0 in photoelectric effect in units of Planck's constant ' h ', speed of light ' c ' and Gravitational constant ' G ' and ampere A is:
[8 Jan. 2019 I]

A
h
1
3
G
2
3
c
1
3
A−1
h
1
3
G
2
3
c
1
3
A−1

B
h
2
3
c
5
3
G
1
3
A−1
h
2
3
c
5
3
G
1
3
A−1

C
h−
2
3
e−
1
3
G
4
3
A−1
h−
2
3
e−
1
3
G
4
3
A−1

D
h0A−1G−1C5
h0A−1G−1C5
Question 143/197
4 / -1

Mark Review

The dimensions of
B2
2µ0
, where B is magnetic field and µ0 is the magnetic permeability of vacuum, is:
[8 Jan. 2019 II]

The dimensions of
B2
2µ0
, where B is magnetic field and µ0 is the magnetic permeability of vacuum, is:
[8 Jan. 2019 II]

A
MLT−2
MLT−2

B
ML2T−1
ML2T−1

C
ML2T−2
ML2T−2

D
ML−1T−2
ML−1T−2
Question 144/197
4 / -1

Mark Review

The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 µm diameter of a wire is:
[12 Jan. 2019 I]

The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 µm diameter of a wire is:
[12 Jan. 2019 I]

A
50
50

B
200
200

C
100
100

D
500
500
Question 145/197
4 / -1

Mark Review

The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 cm and 34.2 ± 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures?
[10 Jan. 2019 II]

The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 cm and 34.2 ± 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures?
[10 Jan. 2019 II]

A
4264 ± 81 cm‌3
4264 ± 81 cm‌3

B
4264.4 ± 81.0 cm‌3
4264.4 ± 81.0 cm‌3

C
4260 ± 80 cm‌3
4260 ± 80 cm‌3

D
4300 ± 80 cm‌3
4300 ± 80 cm‌3
Question 146/197
4 / -1

Mark Review

The pitch and the number of divisions, on the circular scale for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 division below the mean line.
The readings of the main scale and the circular scale, for a thin sheet, are 5.5 mm and 48 respectively, the thickness of the sheet is:
[9 Jan. 2019 II]

The pitch and the number of divisions, on the circular scale for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 division below the mean line.
The readings of the main scale and the circular scale, for a thin sheet, are 5.5 mm and 48 respectively, the thickness of the sheet is:
[9 Jan. 2019 II]

A
5.755 mm
5.755 mm

B
5.950 mm
5.950 mm

C
5.725 mm
5.725 mm

D
5.740 mm
5.740 mm
Question 147/197
4 / -1

Mark Review

Which of the following combinations has the dimension of electrical resistance (∈0 is the permittivity of vacuum and µ0 is the permeability of vacuum)?
[12 April 2019 I]

Which of the following combinations has the dimension of electrical resistance (∈0 is the permittivity of vacuum and µ0 is the permeability of vacuum)?
[12 April 2019 I]

A
√
µ0
ε0
√
µ0
ε0

B

µ0
ε0

µ0
ε0

C
√
ε0
µ0
√
ε0
µ0

D

ε0
µ0

ε0
µ0
Question 148/197
4 / -1

Mark Review

In the formula X=5YZ2 , X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI units ?
[10 April 2019 II]

In the formula X=5YZ2 , X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI units ?
[10 April 2019 II]

A
[M–3L–2T8A4]
[M–3L–2T8A4]

B
[M–1L–2T4A2]
[M–1L–2T4A2]

C
[M–2L0T–4A–2]
[M–2L0T–4A–2]

D
[M–2L–2T6A3]
[M–2L–2T6A3]
Question 149/197
4 / -1

Mark Review

In SI units, the dimensions of √
∈0
µ0
is:
[8 April 2019 I ]

In SI units, the dimensions of √
∈0
µ0
is:
[8 April 2019 I ]

A
A−1TML3
A−1TML3

B
AT2M−1L−1
AT2M−1L−1

C
AT−3ML3∕2
AT−3ML3∕2

D
A2T3M−1L−2
A2T3M−1L−2
Question 150/197
4 / -1

Mark Review

In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is:
[9 April 2019 I]

In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is:
[9 April 2019 I]

A
0.01 kg/m‌3
0.01 kg/m‌3

B
0.10 kg/m‌3
0.10 kg/m‌3

C
0.013 kg/m‌3
0.013 kg/m‌3

D
0.31 kg/m‌3
0.31 kg/m‌3
Question 151/197
4 / -1

Mark Review

The area of a square is 5.29 cm‌2. The area of 7 such squares taking into account the significant figures is:
[9 April 2019 II]

The area of a square is 5.29 cm‌2. The area of 7 such squares taking into account the significant figures is:
[9 April 2019 II]

A
37 cm‌2
37 cm‌2

B
37.030 cm‌2
37.030 cm‌2

C
37.03 cm‌2
37.03 cm‌2

D
37.0 cm‌2
37.0 cm‌2
Question 152/197
4 / -1

Mark Review

In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0 cm. The percentage error in the determination of g is close to :
[8 April 2019 II]

In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0 cm. The percentage error in the determination of g is close to :
[8 April 2019 II]

A
0.7%
0.7%

B
0.2%
0.2%

C
3.5%
3.5%

D
6.8%
6.8%
Question 153/197
4 / -1

Mark Review

The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants G, h and c. Which of the following correctly gives the Planck length?
[Online April 15, 2018]

The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants G, h and c. Which of the following correctly gives the Planck length?
[Online April 15, 2018]

A
G2hc
G2hc

B
(
Gh
c3
)
1
2
(
Gh
c3
)
1
2

C
G
1
2
h2c
G
1
2
h2c

D
Gh2c3
Gh2c3
Question 154/197
4 / -1

Mark Review

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:
[2018]

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:
[2018]

A
2.5%
2.5%

B
3.5%
3.5%

C
4.5%
4.5%

D
6%
6%
Question 155/197
4 / -1

Mark Review

The percentage errors in quantities P,Q,R and S are 0.5% 1%,3% and 1.5% respectively in the measurement of aphysical quantity A=
P3Q2
√RS
.
The maximum percentage error in the value of A will be
[Online April 16, 2018]

The percentage errors in quantities P,Q,R and S are 0.5% 1%,3% and 1.5% respectively in the measurement of aphysical quantity A=
P3Q2
√RS
.
The maximum percentage error in the value of A will be
[Online April 16, 2018]

A
8.5%
8.5%

B
6.0%
6.0%

C
7.5%
7.5%

D
6.5%
6.5%
Question 156/197
4 / -1

Mark Review

The relative uncertainty in the period of a satellite orbiting around the earth is 10–2 . If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is
[Online April 16, 2018]

The relative uncertainty in the period of a satellite orbiting around the earth is 10–2 . If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is
[Online April 16, 2018]

A
3×10–2
3×10–2

B
10–2
10–2

C
2×10–2
2×10–2

D
6×10–2
6×10–2
Question 157/197
4 / -1

Mark Review

The relative error in the determination of the surface area of a sphere is a. Then the relative error in the determination of its volume is
[Online April 15, 2018]

The relative error in the determination of the surface area of a sphere is a. Then the relative error in the determination of its volume is
[Online April 15, 2018]

A

2
3
α

2
3
α

B
2α
2α

C

3
2
α

3
2
α

D
α
α
Question 158/197
4 / -1

Mark Review

In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0.25 cm. There are 100 circular scale divisions. The thickness of a wire measured by this screw gauge gives a reading of 4 main scale divisions and 30 circular scale divisions. Assuming negligible zero error, the thickness of the wire is:
[Online April 15, 2018]

In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0.25 cm. There are 100 circular scale divisions. The thickness of a wire measured by this screw gauge gives a reading of 4 main scale divisions and 30 circular scale divisions. Assuming negligible zero error, the thickness of the wire is:
[Online April 15, 2018]

A
0.0430 cm
0.0430 cm

B
0.3150 cm
0.3150 cm

C
0.4300 cm
0.4300 cm

D
0.2150 cm
0.2150 cm
Question 159/197
4 / -1

Mark Review

Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :
[Online April 8, 2017]

Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :
[Online April 8, 2017]

A
[M]=[T−1C−2h]
[M]=[T−1C−2h]

B
[M]=[T−1C2h]
[M]=[T−1C2h]

C
[M]=[T−1C−2h−1]
[M]=[T−1C−2h−1]

D
[M]=[TC−2h]
[M]=[TC−2h]
Question 160/197
4 / -1

Mark Review

The following observations were taken for determining surface tensiton T of water by capillary method :
Diameter of capilary, D=1.25×10−2m
rise of water, h=1.45×10−2m
Using g=9.80m∕s2 and the simplified relation T=
rhg
2
×103N∕m, the possible error in surface tension is closest to :
[2017]

The following observations were taken for determining surface tensiton T of water by capillary method :
Diameter of capilary, D=1.25×10−2m
rise of water, h=1.45×10−2m
Using g=9.80m∕s2 and the simplified relation T=
rhg
2
×103N∕m, the possible error in surface tension is closest to :
[2017]

A
2. 4 %
2. 4 %

B
10 %
10 %

C
0.15%
0.15%

D
1.5%
1.5%
Question 161/197
4 / -1

Mark Review

A physical quantity P is described by the relation P=a
1
2
b2c3d−4
If the relative errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%, then the relative error in P will be :
[Online April 9, 2017]

A physical quantity P is described by the relation P=a
1
2
b2c3d−4
If the relative errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%, then the relative error in P will be :
[Online April 9, 2017]

A
8%
8%

B
12%
12%

C
32%
32%

D
25%
25%
Question 162/197
4 / -1

Mark Review

A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD = C ln (BD) holds true. Then which of the combination is not a meaningful quantity ?
[Online April 10, 2016]

A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD = C ln (BD) holds true. Then which of the combination is not a meaningful quantity ?
[Online April 10, 2016]

A

C
BD
−
AD2
C

C
BD
−
AD2
C

B
A2−B2C2
A2−B2C2

C
AB−C
AB−C

D

(A−C)
D

(A−C)
D
Question 163/197
4 / -1

Mark Review

In the following 'I' refers to current and other symbols have their usual meaning, Choose the option that corresponds to the dimensions of electrical conductivity :
[Online April 9, 2016]

In the following 'I' refers to current and other symbols have their usual meaning, Choose the option that corresponds to the dimensions of electrical conductivity :
[Online April 9, 2016]

A
M−1L−3T3I
M−1L−3T3I

B
M−1L−3T3I2
M−1L−3T3I2

C
M−1L3T3I
M−1L3T3I

D
ML−3T−3I2
ML−3T−3I2
Question 164/197
4 / -1

Mark Review

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that wen the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 mm and the 25th division coincides with the main scale line?
[2016]

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that wen the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 mm and the 25th division coincides with the main scale line?
[2016]

A
0.70 mm
0.70 mm

B
0.50 mm
0.50 mm

C
0.75 mm
0.75 mm

D
0.80 mm
0.80 mm
Question 165/197
4 / -1

Mark Review

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s, and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be:
[2016]

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s, and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be:
[2016]

A
92 ± 1.8 s
92 ± 1.8 s

B
92 ± 3s
92 ± 3s

C
92 ± 1.5 s
92 ± 1.5 s

D
92 ± 5.0 s
92 ± 5.0 s
Question 166/197
4 / -1

Mark Review

If electronic charge e, electron mass m, speed of light in vacuum c and Planck’s constant h are taken as fundamental quantities, the permeability of vacuum µ0 can be expressed in units of :
[Online April 11, 2015]

If electronic charge e, electron mass m, speed of light in vacuum c and Planck’s constant h are taken as fundamental quantities, the permeability of vacuum µ0 can be expressed in units of :
[Online April 11, 2015]

A
(
h
me2
)
(
h
me2
)

B
(
hc
me2
)
(
hc
me2
)

C
(
h
ce2
)
(
h
ce2
)

D
(
mc2
he2
)
(
mc2
he2
)
Question 167/197
4 / -1

Mark Review

If the capacitance of a nanocapacitor is measured in terms of a unit ‘u’ made by combining the electric charge ‘e’, Bohr radius ‘a0’ , Planck’s constant ‘h’ and speed of light ‘c’ then:
[Online April 10, 2015]

If the capacitance of a nanocapacitor is measured in terms of a unit ‘u’ made by combining the electric charge ‘e’, Bohr radius ‘a0’ , Planck’s constant ‘h’ and speed of light ‘c’ then:
[Online April 10, 2015]

A
u=
e2h
a0
u=
e2h
a0

B
u=
hc
e2a0
u=
hc
e2a0

C
u=
e2c
ha0
u=
e2c
ha0

D
u=
e2a0
hc
u=
e2a0
hc
Question 168/197
4 / -1

Mark Review

The period of oscillation of a simple pendulum is T=2π√
L
g
. Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1s resolution. The accuracy in the determination of g is :
[2015]

The period of oscillation of a simple pendulum is T=2π√
L
g
. Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1s resolution. The accuracy in the determination of g is :
[2015]

A
1%
1%

B
5%
5%

C
2%
2%

D
3%
3%
Question 169/197
4 / -1

Mark Review

Diameter of a steel ball is measured using a Vernier callipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as:

If the zero error is – 0.03 cm, then mean corrected diameter is:
[Online April 10, 2015]

Diameter of a steel ball is measured using a Vernier callipers which has divisions of 0.1 cm on its main scale (MS) and 10 divisions of its vernier scale (VS) match 9 divisions on the main scale. Three such measurements for a ball are given as:
[Online April 10, 2015]

If the zero error is – 0.03 cm, then mean corrected diameter is:

A
0.52 cm
0.52 cm

B
0.59 cm
0.59 cm

C
0.56 cm
0.56 cm

D
0.53 cm
0.53 cm
Question 170/197
4 / -1

Mark Review

From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is:
[Online April 12, 2014]

From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is:
[Online April 12, 2014]

A

ch
2πεo2

ch
2πεo2

B

e2
2πεoGme2
( me = mass of electron)

e2
2πεoGme2
( me = mass of electron)

C

µ0ε0
c2
G
he2

µ0ε0
c2
G
he2

D

2π√µoεo
ce2
h
G

2π√µoεo
ce2
h
G
Question 171/197
4 / -1

Mark Review

In terms of resistance R and time T, the dimensions of ratio
µ
ε
of the permeability m and permittivity ε is:
[Online April 11, 2014]

In terms of resistance R and time T, the dimensions of ratio
µ
ε
of the permeability m and permittivity ε is:
[Online April 11, 2014]

A
[RT−2]
[RT−2]

B
[R2T−1]
[R2T−1]

C
[R2]
[R2]

D
[R2T2]
[R2T2]
Question 172/197
4 / -1

Mark Review

The current voltage relation of a diode is given by I=(e1000V∕T−1)‌mA, where the applied voltage V is in volts and the temperature T is in degree kelvin. If a student makes an error measuring ±0.01V while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA?
[2014]

The current voltage relation of a diode is given by I=(e1000V∕T−1)‌mA, where the applied voltage V is in volts and the temperature T is in degree kelvin. If a student makes an error measuring ±0.01V while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA?
[2014]

A
0.2 mA
0.2 mA

B
0.02 mA
0.02 mA

C
0.5 mA
0.5 mA

D
0.05 mA
0.05 mA
Question 173/197
4 / -1

Mark Review

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
[2014]

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
[2014]

A
A meter scale.
A meter scale.

B
A vernier calliper where the 10 divisions in vernier scale matches with 9 division in main scale and main scale has 10 divisions in 1 cm.
A vernier calliper where the 10 divisions in vernier scale matches with 9 division in main scale and main scale has 10 divisions in 1 cm.

C
A screw gauge having 100 divisions in the circular scale and pitch as 1 mm.
A screw gauge having 100 divisions in the circular scale and pitch as 1 mm.

D
A screw gauge having 50 divisions in the circular scale and pitch as 1 mm.
A screw gauge having 50 divisions in the circular scale and pitch as 1 mm.
Question 174/197
4 / -1

Mark Review

Match List - I (Event) with List-II (Order of the time interval for happening of the event) and select the correct option from the options given below the lists:

[Online April 19, 2014]

Match List - I (Event) with List-II (Order of the time interval for happening of the event) and select the correct option from the options given below the lists:

[Online April 19, 2014]

A
(1)-(i), (2)-(ii), (3)-(iii), (4)-(iv)
(1)-(i), (2)-(ii), (3)-(iii), (4)-(iv)

B
(1)-(ii), (2)-(i), (3)-(iv), (4)-(iii)
(1)-(ii), (2)-(i), (3)-(iv), (4)-(iii)

C
(1)-(i), (2)-(ii), (3)-(iv), (4)-(iii)
(1)-(i), (2)-(ii), (3)-(iv), (4)-(iii)

D
(1)-(ii), (2)-(i), (3)-(iii), (4)-(iv)
(1)-(ii), (2)-(i), (3)-(iii), (4)-(iv)
Question 175/197
4 / -1

Mark Review

In the experiment of calibration of voltmeter, a standard cell of e.m.f. 1.1 volt is balanced against 440 cm of potential wire. The potential difference across the ends of resistance is found to balance against 220 cm of the wire. The corresponding reading of voltmeter is 0.5 volt. The error in the reading of voltmeter will be:
[Online April 12, 2014]

In the experiment of calibration of voltmeter, a standard cell of e.m.f. 1.1 volt is balanced against 440 cm of potential wire. The potential difference across the ends of resistance is found to balance against 220 cm of the wire. The corresponding reading of voltmeter is 0.5 volt. The error in the reading of voltmeter will be:
[Online April 12, 2014]

A
– 0. 15 volt
– 0. 15 volt

B
0.15 volt
0.15 volt

C
0.5 volt
0.5 volt

D
– 0.05 volt
– 0.05 volt
Question 176/197
4 / -1

Mark Review

An experiment is performed to obtain the value of acceleration due to gravity g by using a simple pendulum of length L. In this experiment time for 100 oscillations is measured by using a watch of 1 second least count and the value is 90.0 seconds. The length L is measured by using a meter scale of least count 1 mm and the value is 20.0 cm. The error in the determination of g would be:
[Online April 9, 2014]

An experiment is performed to obtain the value of acceleration due to gravity g by using a simple pendulum of length L. In this experiment time for 100 oscillations is measured by using a watch of 1 second least count and the value is 90.0 seconds. The length L is measured by using a meter scale of least count 1 mm and the value is 20.0 cm. The error in the determination of g would be:
[Online April 9, 2014]

A
1.7%
1.7%

B
2.7%
2.7%

C
4.4%
4.4%

D
2.27%
2.27%
Question 177/197
4 / -1

Mark Review

A metal sample carrying a current along X -axis with density Jx is subjected to a magnetic field Bz (along z-axis). The electric field Ey developed along Y-axis is directly proportional to Jx as well as Bz. The constant of proportionality has SI unit
[Online April 25, 2013]

A metal sample carrying a current along X -axis with density Jx is subjected to a magnetic field Bz (along z-axis). The electric field Ey developed along Y-axis is directly proportional to Jx as well as Bz. The constant of proportionality has SI unit
[Online April 25, 2013]

A

m2
A

m2
A

B

m3
As

m3
As

C

m2
As

m2
As

D

As
m3

As
m3
Question 178/197
4 / -1

Mark Review

Let ∈0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:
[2013]

Let ∈0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:
[2013]

A
∈0=[M−1L−3T2A]
∈0=[M−1L−3T2A]

B
∈0=[M−1L−3T4A2]
∈0=[M−1L−3T4A2]

C
∈0=[M1L2T1A2]
∈0=[M1L2T1A2]

D
∈0=[M1L2T1A]
∈0=[M1L2T1A]
Question 179/197
4 / -1

Mark Review

If the time period t of the oscillation of a drop of liquid of density d, radius r, vibrating under surface tension s is given by the formula t=√r2bscda∕2. It is observed that the time period is directly proportional to √
d
s
. The value of b should therefore be:
[ Online April 23, 2013]

If the time period t of the oscillation of a drop of liquid of density d, radius r, vibrating under surface tension s is given by the formula t=√r2bscda∕2. It is observed that the time period is directly proportional to √
d
s
. The value of b should therefore be:
[ Online April 23, 2013]

A

3
4

3
4

B
√3
√3

C

3
2

3
2

D

2
3

2
3
Question 180/197
4 / -1

Mark Review

The dimensions of angular momentum, latent heat and capacitance are, respectively.
[Online April 22, 2013]

The dimensions of angular momentum, latent heat and capacitance are, respectively.
[Online April 22, 2013]

A
ML2T1A2,L2T−2,M−1L−2T2
ML2T1A2,L2T−2,M−1L−2T2

B
ML2T−2,L2T2,M−1L−2T4A2
ML2T−2,L2T2,M−1L−2T4A2

C
ML2T−1,L2T−2,ML2TA2
ML2T−1,L2T−2,ML2TA2

D
ML2T−1,L2T−2,M−1L−2T4A2
ML2T−1,L2T−2,M−1L−2T4A2
Question 181/197
4 / -1

Mark Review

Given that K = energy, V = velocity, T = time. If they are chosen as the fundamental units, then what is dimensional formula for surface tension?
[Online May 7, 2012]

Given that K = energy, V = velocity, T = time. If they are chosen as the fundamental units, then what is dimensional formula for surface tension?
[Online May 7, 2012]

A
[KV−2T−2]
[KV−2T−2]

B
[K2V2T−2]
[K2V2T−2]

C
[K2V−2T−2]
[K2V−2T−2]

D
[KV2T2]
[KV2T2]
Question 182/197
4 / -1

Mark Review

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is
[2012]

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is
[2012]

A
6%
6%

B
zero
zero

C
1%
1%

D
3%
3%
Question 183/197
4 / -1

Mark Review

A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading : 58.5 degree
Vernier scale reading : 09 divisions
Given that 1 division on main scale corresponds to 0.5
degree. Total divisions on the Vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data is
[2012]

A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading : 58.5 degree
Vernier scale reading : 09 divisions
Given that 1 division on main scale corresponds to 0.5
degree. Total divisions on the Vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data is
[2012]

A
58.59 degree
58.59 degree

B
58.77 degree
58.77 degree

C
58.65 degree
58.65 degree

D
59 degree
59 degree
Question 184/197
4 / -1

Mark Review

N divisions on the main scale of a vernier calliper coincide with (N + 1) divisions of the vernier scale. If each division of main scale is ‘a’ units, then the least count of the instrument is
[Online May 19, 2012]

N divisions on the main scale of a vernier calliper coincide with (N + 1) divisions of the vernier scale. If each division of main scale is ‘a’ units, then the least count of the instrument is
[Online May 19, 2012]

A
a
a

B

a
N

a
N

C

N
N+1
×a

N
N+1
×a

D

a
N+1

a
N+1
Question 185/197
4 / -1

Mark Review

A student measured the diameter of a wire using a screw gauge with the least count 0.001 cm and listed the measurements. The measured value should be recorded as
[Online May 12, 2012]

A student measured the diameter of a wire using a screw gauge with the least count 0.001 cm and listed the measurements. The measured value should be recorded as
[Online May 12, 2012]

A
5.3200 cm
5.3200 cm

B
5.3 cm
5.3 cm

C
5.32 cm
5.32 cm

D
5.320 cm
5.320 cm
Question 186/197
4 / -1

Mark Review

A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1mm on main scale corresponds to 100 divisions of the circular scale. The diameter of wire from the above data is
[2011]

A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1mm on main scale corresponds to 100 divisions of the circular scale. The diameter of wire from the above data is
[2011]

A
0.052 cm
0.052 cm

B
0.026 cm
0.026 cm

C
0.005 cm
0.005 cm

D
0.52 cm
0.52 cm
Question 187/197
4 / -1

Mark Review

The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1×10–3 are
[2010]

The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1×10–3 are
[2010]

A
5, 1, 2
5, 1, 2

B
5, 1, 5
5, 1, 5

C
5, 5, 2
5, 5, 2

D
4, 4, 2
4, 4, 2
Question 188/197
4 / -1

Mark Review

In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half- a degree (= 0.5°), then the least count of the instrument is:
[2009]

In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half- a degree (= 0.5°), then the least count of the instrument is:
[2009]

A
half minute
half minute

B
one degree
one degree

C
half degree
half degree

D
one minute
one minute
Question 189/197
4 / -1

Mark Review

The dimensions of magnetic field in M, L, T and C (coulomb) is given as
[2008]

The dimensions of magnetic field in M, L, T and C (coulomb) is given as
[2008]

A
[MLT−1C−1]
[MLT−1C−1]

B
[MT2C−2]
[MT2C−2]

C
[MT−1C−1]
[MT−1C−1]

D
[MT−2C−1]
[MT−2C−1]
Question 190/197
4 / -1

Mark Review

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms‌–1. The magnitude of its momentum is recorded as
[2008]

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms‌–1. The magnitude of its momentum is recorded as
[2008]

A
17.6 kg ms‌–1
17.6 kg ms‌–1

B
17.565 kg ms‌–1
17.565 kg ms‌–1

C
17.56 kg ms‌–1
17.56 kg ms‌–1

D
17.57 kg ms‌–1
17.57 kg ms‌–1
Question 191/197
4 / -1

Mark Review

Two full turns of the circular scale of a screw gauge cover a distance of 1mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of – 0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is
[2008]

Two full turns of the circular scale of a screw gauge cover a distance of 1mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of – 0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is
[2008]

A
3.32 mm
3.32 mm

B
3.73 mm
3.73 mm

C
3.67 mm
3.67 mm

D
3.38 mm
3.38 mm
Question 192/197
4 / -1

Mark Review

Which of the following units denotes the dimension
ML2
Q2
, where Q denotes the electric charge?
[2006]

Which of the following units denotes the dimension
ML2
Q2
, where Q denotes the electric charge?
[2006]

A

Wb
m2

Wb
m2

B
Henry (H)
Henry (H)

C

H
m2

H
m2

D
Weber (Wb)
Weber (Wb)
Question 193/197
4 / -1

Mark Review

Out of the following pair, which one does NOT have identical dimensions ?
[2005]

Out of the following pair, which one does NOT have identical dimensions ?
[2005]

A
Impulse and momentum
Impulse and momentum

B
Angular momentum and planck’s constant
Angular momentum and planck’s constant

C
Work and torque
Work and torque

D
Moment of inertia and moment of a force
Moment of inertia and moment of a force
Question 194/197
4 / -1

Mark Review

Which one of the following represents the correct dimensions of the coefficient of viscosity?
[2004]

Which one of the following represents the correct dimensions of the coefficient of viscosity?
[2004]

A
[ML−1T−1]
[ML−1T−1]

B
[MLT−1]
[MLT−1]

C
[ML−1T−2]
[ML−1T−2]

D
[ML−2T−2]
[ML−2T−2]
Question 195/197
4 / -1

Mark Review

Dimensions of
1
µoεo
, where symbols have their usual meaning, are
[2003]

Dimensions of
1
µoεo
, where symbols have their usual meaning, are
[2003]

A
[L−1T]
[L−1T]

B
[L−2T2]
[L−2T2]

C
[L2T−2]
[L2T−2]

D
[LT−1]
[LT−1]
Question 196/197
4 / -1

Mark Review

The physical quantities not having same dimensions are
[2003]

The physical quantities not having same dimensions are
[2003]

A
torque and work
torque and work

B
momentum and planck’s constant
momentum and planck’s constant

C
stress and young’s modulus
stress and young’s modulus

D
speed and (µoεo)−1∕2
speed and (µoεo)−1∕2
Question 197/197
4 / -1

Mark Review

Identify the pair whose dimensions are equal
[2002]

Identify the pair whose dimensions are equal
[2002]

A
torque and work
torque and work

B
stress and energy
stress and energy

C
force and stress
force and stress

D
force and work
force and work

List - I (Number)	List - II (Significant figure)
(A) 1001	(I) 3
(B) 010.1	(II) 4
(C) 100.100	(III) 5
(D) 0.0010010	(IV) 6

Question 1/197

Radius of curvature of concave surface

Radius of curvature of concave surface

Specific rotation of liquids

Specific rotation of liquids

Thickness of thin plates

Thickness of thin plates

Radius of curvature of convex surface

Radius of curvature of convex surface

Question 2/197

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Both (A) and (R) are correct and (R) is the correct explanation of (A)

Both (A) and (R) are correct but (R) is not the correct explanation of (A)

Both (A) and (R) are correct but (R) is not the correct explanation of (A)

(A) is true but (R) is false

(A) is true but (R) is false

(A) is false but (R) is true

(A) is false but (R) is true

Question 3/197

0.1 mm

0.1 mm

0.1 cm

0.1 cm

0.01 cm

0.01 cm

0.01 mm

0.01 mm

Question 4/197

4

4

8

8

6

6

5

5

Question 5/197

3.5%

3.5%

7%

7%

3%

3%

5.5%

5.5%

Question 6/197

66%

66%

43%

43%

34%

34%

14%

14%

Question 7/197

Question 8/197

0.2%

0.2%

0.3%

0.3%

0.1%

0.1%

0.144%

0.144%

Question 9/197

Question 10/197

Statement I is true but Statement II is false

Statement I is true but Statement II is false

Both Statement I and Statement II are false

Both Statement I and Statement II are false

Both Statement I and Statement II are true

Both Statement I and Statement II are true

Statement I is false but Statement II is true

Statement I is false but Statement II is true

Question 11/197

PV

PV

P

P

RT

[ML³T⁻³]

[ML³T⁻³]

[MLT⁻²]

[MLT⁻²]

[ML⁻¹T⁻¹]

[ML⁻¹T⁻¹]

[ML²T⁻³]

[ML²T⁻³]

L⁻²M¹T⁰

L⁻²M¹T⁰

L²M⁻¹T¹

L²M⁻¹T¹

L⁻²M⁻¹T¹

L⁻²M⁻¹T¹

L⁰M⁻¹T¹

L⁰M⁻¹T¹

[ML⁻²T⁻¹]

[ML⁻²T⁻¹]

[ML²T⁻²]

[ML²T⁻²]

[MLT⁻¹]

[MLT⁻¹]

[ML²T⁻¹]

[ML²T⁻¹]