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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
If length of subnormal at any point of a curve is always constant then that cur represents a

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If length of subnormal at any point of a curve is always constant then that cur represents a

©
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The integrating factor of the differential equation x‌
dy
dx
−y=x2 is

©
The integrating factor of the differential equation x‌
dy
dx
−y=x2 is

©
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
If the vectors
∧
i
−
∧
j
+
∧
k
,3
∧
i
+
∧
j
+2
∧
k
 and
∧
i
+λ
∧
j
−3
∧
k
 are coplanar then λ=

©
If the vectors
∧
i
−
∧
j
+
∧
k
,3
∧
i
+
∧
j
+2
∧
k
 and
∧
i
+λ
∧
j
−3
∧
k
 are coplanar then λ=

©
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Let the vectors
→
a
 and
→
b
 be such that |
→
a
|=3 and |
→
b
|=‌
√2
3
. If
→
a
×
→
b
 is a unit vector, then the angle between
→
a
 and
→
b
 is

©
Let the vectors
→
a
 and
→
b
 be such that |
→
a
|=3 and |
→
b
|=‌
√2
3
. If
→
a
×
→
b
 is a unit vector, then the angle between
→
a
 and
→
b
 is

©
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
If
→
a
,
→
b
,
→
c
 are unit vectors such that
→
a
+
→
b
+
→
c
=
→
0
 then
→
a
⋅
→
b
+
→
b
⋅
→
c
+
→
c
⋅
→
a
=

©
If
→
a
,
→
b
,
→
c
 are unit vectors such that
→
a
+
→
b
+
→
c
=
→
0
 then
→
a
⋅
→
b
+
→
b
⋅
→
c
+
→
c
⋅
→
a
=

©
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The angle between the line ‌
x+1
2
=‌
y
3
=‌
z−3
6
 and the plane 10x+2y−11z=3 is

©
The angle between the line ‌
x+1
2
=‌
y
3
=‌
z−3
6
 and the plane 10x+2y−11z=3 is

©
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The area of a triangle having the points A(1,1,1),B(1,2,3) and C(2,3,1) as its vertices is

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The area of a triangle having the points A(1,1,1),B(1,2,3) and C(2,3,1) as its vertices is

©
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The lines ‌
1−x
3
=‌
7y−14
2p
=‌
z−3
2
 and ‌
7−7x
3p
=‌
y−5
1
=‌
6−z
5
 are at right angles then value of p is

©
The lines ‌
1−x
3
=‌
7y−14
2p
=‌
z−3
2
 and ‌
7−7x
3p
=‌
y−5
1
=‌
6−z
5
 are at right angles then value of p is

©
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The mean number of heads in three tosses of a fair coin is

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The mean number of heads in three tosses of a fair coin is

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Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If for Bernoulli distribution B(10,‌
1
2
), it is given that P(X≤2)=m(‌
1
2
)10 then m=

©
If for Bernoulli distribution B(10,‌
1
2
), it is given that P(X≤2)=m(‌
1
2
)10 then m=

©
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Probability that A speaks truth is ‌
4
5
. A coin is tossed. A reports that a head appears. The probability that actually there was head is

©
Probability that A speaks truth is ‌
4
5
. A coin is tossed. A reports that a head appears. The probability that actually there was head is

©
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Corner points of the feasible region of objective function Z=3x+9y of a linear programming problem are (0,10),(5,5),(15,15) and (0,20). Minimum value of Z is

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Corner points of the feasible region of objective function Z=3x+9y of a linear programming problem are (0,10),(5,5),(15,15) and (0,20). Minimum value of Z is

©
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
If A=[
cos‌θsin‌θ
−sin‌θcos‌θ
] then A3=

©
If A=[
cos‌θsin‌θ
−sin‌θcos‌θ
] then A3=

©
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
If A=[
1−11
21−3
111
],10B=[
422
−50α
1−23
] and B is inverse of A then α=

©
If A=[
1−11
21−3
111
],10B=[
422
−50α
1−23
] and B is inverse of A then α=

©
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
For real numbers x,y,z such that x≠y≠z,|
xx21+x3
yy21+y3
zz21+z3
|=0 and |
1xx2
1yy2
1zz2
|≠0 then xyz=

©
For real numbers x,y,z such that x≠y≠z,|
xx21+x3
yy21+y3
zz21+z3
|=0 and |
1xx2
1yy2
1zz2
|≠0 then xyz=

©
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
If a,b,c are measurements of sides of △ABC and |
abc
bca
cab
|=0 then sin2A+sin2B+sin2C=

©
If a,b,c are measurements of sides of △ABC and |
abc
bca
cab
|=0 then sin2A+sin2B+sin2C=

©
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
If sin−1a=α+β,sin−1b=α−β then sin2α+cos2β=

©
If sin−1a=α+β,sin−1b=α−β then sin2α+cos2β=

©
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
If 2sin−1x=sin−12x√1−x2 then x∈____

©
If 2sin−1x=sin−12x√1−x2 then x∈____

©
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
cos(sin−1‌
1
5
+cos−1x)=0 then x=

©
cos(sin−1‌
1
5
+cos−1x)=0 then x=

©
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Binary operation * on R is.given by a*b=‌
a+b
2
. Then * is

©
Binary operation * on R is.given by a*b=‌
a+b
2
. Then * is

©
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Let A={−1,−2,3,4}. Number of all one-one functions from the set A to itself is__

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Let A={−1,−2,3,4}. Number of all one-one functions from the set A to itself is__

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Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
If functions f and g are defined as:
f:[0,‌
π
2
]→R,‌‌f(x)=sin‌x and
g:[0,‌
π
2
]→R,‌‌g(x)=cos‌x
then

©
If functions f and g are defined as:
f:[0,‌
π
2
]→R,‌‌f(x)=sin‌x and
g:[0,‌
π
2
]→R,‌‌g(x)=cos‌x
then

©
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
If y=100e2x+200e−2x and ‌
d2y
dx2
=ay then a=____

©
If y=100e2x+200e−2x and ‌
d2y
dx2
=ay then a=____

©
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Function f:[1.2,1.9]→R,f(x)=[x], where [x] denotes the greatest integer less than or equal to x. Then

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Function f:[1.2,1.9]→R,f(x)=[x], where [x] denotes the greatest integer less than or equal to x. Then

©
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
If x=√10sin−1t,y=√10cos−1t then ‌
dy
dx
=

©
If x=√10sin−1t,y=√10cos−1t then ‌
dy
dx
=

©
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The interval in which y=x2e−x is increasing is

©
The interval in which y=x2e−x is increasing is

©
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Equation of tangent line to 16x2+25y2=1, which is parallel to Y-axis is

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Equation of tangent line to 16x2+25y2=1, which is parallel to Y-axis is

©
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A cylindrical tank of diameter 20m is being filled with wheat at the rate of 314 cubic meter per hour. Then the depth of the wheat is increasing at the rate of

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A cylindrical tank of diameter 20m is being filled with wheat at the rate of 314 cubic meter per hour. Then the depth of the wheat is increasing at the rate of

©
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
∫esin‌x‌sin‌2‌x‌d‌x= +C.

©
∫esin‌x‌sin‌2‌x‌d‌x= +C.

©
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
∫√‌
cos‌x−cos3x
1−cos3x
dx=+C.

©
∫√‌
cos‌x−cos3x
1−cos3x
dx=+C.

©
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
∫(x+1)(x+3)(x+2)7dx=_____+C

©
∫(x+1)(x+3)(x+2)7dx=_____+C

©
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
∫‌
x
(x−1)(x−2)
dx=____+C

©
∫‌
x
(x−1)(x−2)
dx=____+C

©
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
π∕4
∫
−π∕4
sin2xdx=

©
π∕4
∫
−π∕4
sin2xdx=

©
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
‌
π
2
∫
‌
π
2
(x13+x‌cos‌x+tan15x+1)dx=

©
‌
π
2
∫
‌
π
2
(x13+x‌cos‌x+tan15x+1)dx=

©
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
If f(a+b−x)=f(x) then
∫
a
bxf(x)dx=____

©
If f(a+b−x)=f(x) then
∫
a
bxf(x)dx=____

©
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
∫
0
1tan−1(‌
2x−1
1+x−x2
)dx=

©
∫
0
1tan−1(‌
2x−1
1+x−x2
)dx=

©
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The area of the region bounded by the two parabolas y=x2 and y2=x is

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The area of the region bounded by the two parabolas y=x2 and y2=x is

©
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The area of the parabola x2=12y bounded by its latus rectum is

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The area of the parabola x2=12y bounded by its latus rectum is

©
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The area of the region bounded by the curve y2=4x and the line x=3 is

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The area of the region bounded by the curve y2=4x and the line x=3 is

©
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
A difference of 5.4‌eV separates two energy levels in an atom. What is the frequency of radiation emitted when the atom make a transition from the upper level to the lower level?
[1‌eV=1.6×10−19J,h=6.625×10−34J.s.]

©
A difference of 5.4‌eV separates two energy levels in an atom. What is the frequency of radiation emitted when the atom make a transition from the upper level to the lower level?
[1‌eV=1.6×10−19J,h=6.625×10−34J.s.]

©
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
What is the shortest wavelength present in the Paschen series of spectral lines?

©
What is the shortest wavelength present in the Paschen series of spectral lines?

©
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
The radius of the innermost electron orbit of a hydrogen atom is 5.3×10−11m. What are the radii of the n=3 orbit?

©
The radius of the innermost electron orbit of a hydrogen atom is 5.3×10−11m. What are the radii of the n=3 orbit?

©
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
In accordance with the Bohr's model, find the quantum number that characterises the earth's revolution around the sun in an orbit of radius 1.5×1011m with orbital speed 3×104m∕s. (Mass of earth =6×1024‌kg,h=6.625×10−34J.s.)

©
In accordance with the Bohr's model, find the quantum number that characterises the earth's revolution around the sun in an orbit of radius 1.5×1011m with orbital speed 3×104m∕s. (Mass of earth =6×1024‌kg,h=6.625×10−34J.s.)

©
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Given the following atomic masses
‌92238U=238.05079u
‌24‌He=4.00260u
‌90234‌Th=234.04363u
Calculate the energy released during the alpha decay of ‌92238U
(1u=931.5‌MeV∕C2)

©
Given the following atomic masses
‌92238U=238.05079u
‌24‌He=4.00260u
‌90234‌Th=234.04363u
Calculate the energy released during the alpha decay of ‌92238U
(1u=931.5‌MeV∕C2)

©
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A radioactive isotope has a half-life of T years: How long will it take the activity to reduce to 6.250% ?

©
A radioactive isotope has a half-life of T years: How long will it take the activity to reduce to 6.250% ?

©
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The half-life of ‌3890‌Sr is 28 years. What is the disintegration rate of 38g of this isotope?
[NA=6.023×1023mol−1]

©
The half-life of ‌3890‌Sr is 28 years. What is the disintegration rate of 38g of this isotope?
[NA=6.023×1023mol−1]

©
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The circuits shown in fig. works as which gate?


The circuits shown in fig. works as which gate?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
When a forward bias is applied to a p-n junction, it

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When a forward bias is applied to a p-n junction, it

©
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Suppose a pure Si crystal has 5×1028 atoms m−3. It is doped by 1‌ppm concentration of pentavalent As. Calculate the number of electrons and holes.
Given that ni=1.5×1016m−3

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Suppose a pure Si crystal has 5×1028 atoms m−3. It is doped by 1‌ppm concentration of pentavalent As. Calculate the number of electrons and holes.
Given that ni=1.5×1016m−3

©
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Dimensional formula of Electric flux =

©
Dimensional formula of Electric flux =

©
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
An electric dipole with dipole moment 4×10−9‌cm is aligned at 60∘ with the direction of a uniform electric field of magnitude 5×104NC−1. Calculate the magnitude of the torque acting on the dipole.

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An electric dipole with dipole moment 4×10−9‌cm is aligned at 60∘ with the direction of a uniform electric field of magnitude 5×104NC−1. Calculate the magnitude of the torque acting on the dipole.

©
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
An infinite line charge produces a field of 9×104NC−1 at a distance of 2‌cm. Calculate Electrical field produced at a distance of 3‌cm.
©
An infinite line charge produces a field of 9×104NC−1 at a distance of 2‌cm. Calculate Electrical field produced at a distance of 3‌cm.
©
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
How will you connect 4 (four) capacitors, each of capacitance 4µF for having equivalent capacitance 1.6µF ?
©
How will you connect 4 (four) capacitors, each of capacitance 4µF for having equivalent capacitance 1.6µF ?
©
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A slab of material of dielectric constant 3 has the same area as the plates of a parallel plate capacitor but has a thickness (‌
3
4
)d, where d is the separation of the plates. What is the Electrical potential difference between the plates, when the slab is inserted between the plates? Initial electrical potential difference V0.

©
A slab of material of dielectric constant 3 has the same area as the plates of a parallel plate capacitor but has a thickness (‌
3
4
)d, where d is the separation of the plates. What is the Electrical potential difference between the plates, when the slab is inserted between the plates? Initial electrical potential difference V0.

©
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
A molecule of a substance has a permanent electric dipole moment of magnitude 10−29‌cm‌.2 mole of this substance is polarised (at low temperature) by applying a strong electrostatic field of magnitude 106Vm−1. What should be potential energy of its?
[1 mole of the substance contains 6×1023 molecules]
©
A molecule of a substance has a permanent electric dipole moment of magnitude 10−29‌cm‌.2 mole of this substance is polarised (at low temperature) by applying a strong electrostatic field of magnitude 106Vm−1. What should be potential energy of its?
[1 mole of the substance contains 6×1023 molecules]
©
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
At room temperature (27∘C) the resistance of a heating element is 100Ω. What is the temperature of the element if the resistance is found to be 137Ω, given that the temperature coefficient of the material of the resistor is 1.35×10−4‌∘C−1.

©
At room temperature (27∘C) the resistance of a heating element is 100Ω. What is the temperature of the element if the resistance is found to be 137Ω, given that the temperature coefficient of the material of the resistor is 1.35×10−4‌∘C−1.

©
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
For the given following circuit diagram, the dissipated of electrical power 150W, then find value of Resistance R=
45×45
©

For the given following circuit diagram, the dissipated of electrical power 150W, then find value of Resistance R=
45×45
©
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The number density of free electrons in a copper conductor estimated 8.5×1028m−3. How long does an electron take to drift from one end of a wire 6m long to its other end? The area of cross-section of the wire is 1.0×10−6m2 and it is carrying a current of 1.5A.

©
The number density of free electrons in a copper conductor estimated 8.5×1028m−3. How long does an electron take to drift from one end of a wire 6m long to its other end? The area of cross-section of the wire is 1.0×10−6m2 and it is carrying a current of 1.5A.

©
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A solenoid of length 0.25m has a radius of 1‌cm and is made up of 500 turns. It carries a current of 2.5A. What is the magnitude of the magnetic field inside the solenoid?
©
A solenoid of length 0.25m has a radius of 1‌cm and is made up of 500 turns. It carries a current of 2.5A. What is the magnitude of the magnetic field inside the solenoid?
©
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
How the shunt wire should be?

©
How the shunt wire should be?

©
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Two long and parallel straight wires A and B carrying currents of 10A and 4A in the same direction are separated by a distance of 2‌cm. Estimate the force on a 4‌cm section of wire A.
(µ0=4π×10−7‌SI)

©
Two long and parallel straight wires A and B carrying currents of 10A and 4A in the same direction are separated by a distance of 2‌cm. Estimate the force on a 4‌cm section of wire A.
(µ0=4π×10−7‌SI)

©
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A solenoid has a core of a material with relative permeability 400 . The windings of the solenoid are insulated from the core and carry a current of 1A. If the number of turns is 1000 per metre, find magnetic field (B) ___ T.(µ0=4π×10−7‌SI)
©
A solenoid has a core of a material with relative permeability 400 . The windings of the solenoid are insulated from the core and carry a current of 1A. If the number of turns is 1000 per metre, find magnetic field (B) ___ T.(µ0=4π×10−7‌SI)
©
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A short bar magnet placed with its axis at 30∘ with a uniform external magnetic field of 0.25 T experiences a torque of magnitude eijual to 4.5×10−2J, What is the magnitude of magnetic moment of the magnet?

©
A short bar magnet placed with its axis at 30∘ with a uniform external magnetic field of 0.25 T experiences a torque of magnitude eijual to 4.5×10−2J, What is the magnitude of magnetic moment of the magnet?

©
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
"The polarity of induced emf is such that it tends to produce a current which opposes the change in magnetic flux that produced it." This statement is known as

©
"The polarity of induced emf is such that it tends to produce a current which opposes the change in magnetic flux that produced it." This statement is known as

©
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A pair of adjacent coils has a mutual inductance of 1.5H. If the current in one coil changes from 0 to 10A in 0.5s, what is the change of flux linkage with the other coil?

©
A pair of adjacent coils has a mutual inductance of 1.5H. If the current in one coil changes from 0 to 10A in 0.5s, what is the change of flux linkage with the other coil?

©
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
An air-cored solenoid with length 30‌cm, area of cross-section 25cm2 and number of turns 500 , carries a current of 2.5A. The current is suddenly switched off in a brief time of 10−3s. How much is the average back emf induced across the ends of the open switch in the circuit? Ignore the variation in magnetic field near the ends of the solenoid.
©
An air-cored solenoid with length 30‌cm, area of cross-section 25cm2 and number of turns 500 , carries a current of 2.5A. The current is suddenly switched off in a brief time of 10−3s. How much is the average back emf induced across the ends of the open switch in the circuit? Ignore the variation in magnetic field near the ends of the solenoid.
©
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
For an ideal transformer, if Ns>Np then

©
For an ideal transformer, if Ns>Np then

©
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A charged 10µF capacitor is connected to a 16‌mH inductor. What is the angular frequency of free oscillations of the circuit?

©
A charged 10µF capacitor is connected to a 16‌mH inductor. What is the angular frequency of free oscillations of the circuit?

©
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A light bulb is rated at 200W for a 220V supply. Find the resistance of the bulb

©
A light bulb is rated at 200W for a 220V supply. Find the resistance of the bulb

©
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A radio can tune into any station in the 6‌MHz to 12‌MHz band. What is the corresponding wavelength band? (c=3×108m∕s)

©
A radio can tune into any station in the 6‌MHz to 12‌MHz band. What is the corresponding wavelength band? (c=3×108m∕s)

©
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A charged particle oscillates about its mean equilibrium position with a frequency of 109‌Hz. What is the frequency of the electromagnetic waves produced by the oscillator?

©
A charged particle oscillates about its mean equilibrium position with a frequency of 109‌Hz. What is the frequency of the electromagnetic waves produced by the oscillator?

©
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Light from a point source in air falls on a spherical glass surface ( n=1.5 and radius of curvature =20‌cm ). The distance of the light source from the glass surface is 100‌cm. Find the image distance.

©
Light from a point source in air falls on a spherical glass surface ( n=1.5 and radius of curvature =20‌cm ). The distance of the light source from the glass surface is 100‌cm. Find the image distance.

©
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Double - convex lenses are to be manufactured from a glass of refractive index 1.55 with both faces of the same radius of curvature. What is the radius of curvature required if the focal length is to be 20‌cm ?

©
Double - convex lenses are to be manufactured from a glass of refractive index 1.55 with both faces of the same radius of curvature. What is the radius of curvature required if the focal length is to be 20‌cm ?

©
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
What is the focal length of a convex lens of focal length 30‌cm in contact with a concave lens of focal length 10‌cm ?
[Ignore thickness of lens]

©
What is the focal length of a convex lens of focal length 30‌cm in contact with a concave lens of focal length 10‌cm ?
[Ignore thickness of lens]

©
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Unpolarised light is incident on a plane glass surface. What should be the angle of incidence so that the reflected and refracted rays are perpendicular to each other?

©
Unpolarised light is incident on a plane glass surface. What should be the angle of incidence so that the reflected and refracted rays are perpendicular to each other?

©
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Two slits are made 3 millimetre (3‌mm) apart and the screen is placed 2m away. What is the fringe separation when blue-green light of wavelength 600‌nm is used?

©
Two slits are made 3 millimetre (3‌mm) apart and the screen is placed 2m away. What is the fringe separation when blue-green light of wavelength 600‌nm is used?

©
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Estimate the distance for which ray optics is good approximation for an aperture of 5‌mm and wavelength 500‌nm.

©
Estimate the distance for which ray optics is good approximation for an aperture of 5‌mm and wavelength 500‌nm.

©
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
What is the de-Broglie wavelength associated with an electron moving with a speed of 6.4×106m∕s ?
[Mass of electron me=9.11×10−31‌kg, Planck's constant h=6.63×10−34J.s.]

©
What is the de-Broglie wavelength associated with an electron moving with a speed of 6.4×106m∕s ?
[Mass of electron me=9.11×10−31‌kg, Planck's constant h=6.63×10−34J.s.]

©
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
An electron, an α-particle and a proton have the same kinetic energy. Which of these particles has the shortest de-Broglie wavelength?

©
An electron, an α-particle and a proton have the same kinetic energy. Which of these particles has the shortest de-Broglie wavelength?

©
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Which of the following ligand is ambidentate?
NO3−
(P)
,
NO2−
(Q)
,
CN−
(R)
,
SCN−
(S)

©
Which of the following ligand is ambidentate?
NO3−
(P)
,
NO2−
(Q)
,
CN−
(R)
,
SCN−
(S)

©
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
How many numbers of sigma (σ) and pi(π) bonds in DDT respectively?

©
How many numbers of sigma (σ) and pi(π) bonds in DDT respectively?

©
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Which of the following undergoes SN2 reaction most readily?

©
Which of the following undergoes SN2 reaction most readily?

©
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
From following reactions, which reaction does not give "Benzene"?

©
From following reactions, which reaction does not give "Benzene"?

©
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Which product is obtained from following reaction?


Which product is obtained from following reaction?
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Which method is used to prepare salicylic acid from phenol?

©
Which method is used to prepare salicylic acid from phenol?

©
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Which of the following compounds will not give "Iodoform" by reaction with "Sodium hypoiodite"?
Which of the following compounds will not give "Iodoform" by reaction with "Sodium hypoiodite"?
©
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
What will be the main product in the following reaction?


What will be the main product in the following reaction?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Which is the incorrect order of increasing acidic strength for the following?

©
Which is the incorrect order of increasing acidic strength for the following?

©
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
How many numbers of Isomer for the compound having molecular formula C3H9N ?

©
How many numbers of Isomer for the compound having molecular formula C3H9N ?

©
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
From which of the following reaction primary amine is produced?

©
From which of the following reaction primary amine is produced?

©
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Identify the compound ' C ' from following reaction.
CH3‌COOH‌
NH3
────────▶
△
‌A‌
Br2+NaOH
────────▶
‌B‌
NaNO2
────────▶
HCl
‌C

©
Identify the compound ' C ' from following reaction.
CH3‌COOH‌
NH3
────────▶
△
‌A‌
Br2+NaOH
────────▶
‌B‌
NaNO2
────────▶
HCl
‌C

©
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Select proper statement from following True (T) and False (F) statements.
(I) Pentose sugar + base → Nucleotide
(II) Nucleotide + Phosphate → Nucleoside
(III) DNA contains four bases A,G,C and T
(IV) RNA contains four bases A,G,C and U

©
Select proper statement from following True (T) and False (F) statements.
(I) Pentose sugar + base → Nucleotide
(II) Nucleotide + Phosphate → Nucleoside
(III) DNA contains four bases A,G,C and T
(IV) RNA contains four bases A,G,C and U

©
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Which glycosidic linkage occurs in 'Amylopectin'?

©
Which glycosidic linkage occurs in 'Amylopectin'?

©
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Which polymer is used in manufacture of paints and lacquers?

©
Which polymer is used in manufacture of paints and lacquers?

©
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Which of the following polymer is not obtained by the condensation polymerization?

©
Which of the following polymer is not obtained by the condensation polymerization?

©
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Which of the following drug is used for treatment of Acidity?

©
Which of the following drug is used for treatment of Acidity?

©
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Which Artificial sweetener is unstable at cooking temperature?

©
Which Artificial sweetener is unstable at cooking temperature?

©
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Cell edge length in bcc, ccp and simple cubic unit cell is respectively as__
©
Cell edge length in bcc, ccp and simple cubic unit cell is respectively as__
©
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Atoms of element N form hcp lattice and those of the element M occupy 1∕3‌rd ‌ of tetrahedral voids. What will be the formula of the compound formed by the elements M and N?

©
Atoms of element N form hcp lattice and those of the element M occupy 1∕3‌rd ‌ of tetrahedral voids. What will be the formula of the compound formed by the elements M and N?

©
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Calculate the mole fraction of aqueous solution of 1 molal urea (NH2CONH2)

©
Calculate the mole fraction of aqueous solution of 1 molal urea (NH2CONH2)

©
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Value of Henry's constant KH

©
Value of Henry's constant KH

©
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
What is value of Van't Hoff factor (i) when 80% of CaCl2 dissociates?

©
What is value of Van't Hoff factor (i) when 80% of CaCl2 dissociates?

©
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
How much electricity in terms of Faraday is required for reduction of 2 mole Cr2O72− into Cr3+ in acidic medium?

©
How much electricity in terms of Faraday is required for reduction of 2 mole Cr2O72− into Cr3+ in acidic medium?

©
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Which is proper value of x for the following to increase cell potential of
Zn(s)|Zn(xM)2+||Cu(0.02M)2+.|Cu(s)

©
Which is proper value of x for the following to increase cell potential of
Zn(s)|Zn(xM)2+||Cu(0.02M)2+.|Cu(s)

©
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Which substance is used as oxidising agent in nickel-cadmium cell?

©
Which substance is used as oxidising agent in nickel-cadmium cell?

©
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
What is the value of slope when graph plotted of log‌
[R]0
[R]
 Vs t (time) for first order reaction?

©
What is the value of slope when graph plotted of log‌
[R]0
[R]
 Vs t (time) for first order reaction?

©
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A reaction is first order with respect to a reactant A and second order with respect to reactant B. What is the effect of rate when concentration of both A and B increased by doubled?

©
A reaction is first order with respect to a reactant A and second order with respect to reactant B. What is the effect of rate when concentration of both A and B increased by doubled?

©
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Which colloidal sol results, when highly diluted solution of AgNO3 is added to highly diluted KI solution?

©
Which colloidal sol results, when highly diluted solution of AgNO3 is added to highly diluted KI solution?

©
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Match the types of colloidal systems given in Column - I with the name given in Column - II.


Match the types of colloidal systems given in Column - I with the name given in Column - II.
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
In which colloids both Lyophilic and Lyophobic parts present?

©
In which colloids both Lyophilic and Lyophobic parts present?

©
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Which method is not proper to obtain metal of high purity from impure metal?

©
Which method is not proper to obtain metal of high purity from impure metal?

©
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Which is known as "Copper Matte"?

©
Which is known as "Copper Matte"?

©
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Which products are obtained by reaction of hot and concentrated NaOH with dichlorine?

©
Which products are obtained by reaction of hot and concentrated NaOH with dichlorine?

©
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Which soluble complex is formed in the leaching process of Gold?
Which soluble complex is formed in the leaching process of Gold?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Which of the following is a reversible sol?
Which of the following is a reversible sol?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Name a transition element which does not exhibit variable oxidation states.

©
Name a transition element which does not exhibit variable oxidation states.

©
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Which one is the common name of the compound CH2 = CH−CHO ?
Which one is the common name of the compound CH2 = CH−CHO ?
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Polyethylene-glycol is used in the preparation of which types of detergent?
Polyethylene-glycol is used in the preparation of which types of detergent?
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
How many numbers of mole Ions produced from aqueous solution of 1 mole Iron (III) hexacyanido Ferrate (II) complex?

©
How many numbers of mole Ions produced from aqueous solution of 1 mole Iron (III) hexacyanido Ferrate (II) complex?

©
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Choose the correct option out of the following.

©
Choose the correct option out of the following.

©
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
What is the BOD value per litre in sewage water?

©
What is the BOD value per litre in sewage water?

©
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Which statements are true out of the following?
(P) Endonuclease make cuts at specific positions within the DNA
(Q) A stirred - tank reactor is usually square in shape
(R) Bacterial cells must be first be made competent to take up DNA. This is done by treating them with divalent cation Mg++.

©
Which statements are true out of the following?
(P) Endonuclease make cuts at specific positions within the DNA
(Q) A stirred - tank reactor is usually square in shape
(R) Bacterial cells must be first be made competent to take up DNA. This is done by treating them with divalent cation Mg++.

©
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Statement A-DNA cannot pass through cell membrane
Reason R - DNA is a hydrophobic molecule

©
Statement A-DNA cannot pass through cell membrane
Reason R - DNA is a hydrophobic molecule

©
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The Fragments of DNA can be separated by a technique known as

©
The Fragments of DNA can be separated by a technique known as

©
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
infects the roots of tobacco plants and causes a great reduction in yield.

©
infects the roots of tobacco plants and causes a great reduction in yield.

©
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
In some children ADA deficiency can be cured by which transplantation?

©
In some children ADA deficiency can be cured by which transplantation?

©
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
In Rosie cow, which is nutritionally more balanced product for babies?

©
In Rosie cow, which is nutritionally more balanced product for babies?

©
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
In which region maximum and minimum, mean annual precipitation is observed respectively?

©
In which region maximum and minimum, mean annual precipitation is observed respectively?

©
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Which animal is capable of meeting all its water requirements through its internal fat oxidation?

©
Which animal is capable of meeting all its water requirements through its internal fat oxidation?

©
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
If you were to count the number of insects feeding on a big tree, what kind of pyramid would you get?

©
If you were to count the number of insects feeding on a big tree, what kind of pyramid would you get?

©
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Which stage of plant succession stage is shown in the given diagram?

©
Which stage of plant succession stage is shown in the given diagram?

©
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
"That within a region species richness increased with increasing explored area, but only upto a limit." Which naturalist has proposed this statement?

©
"That within a region species richness increased with increasing explored area, but only upto a limit." Which naturalist has proposed this statement?

©
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Which species extinction in the last 500 years was due to over exploitation by humans?

©
Which species extinction in the last 500 years was due to over exploitation by humans?

©
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Which nutrient is absent in dirty water of sewage?

©
Which nutrient is absent in dirty water of sewage?

©
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
What is the unit of measurement of thickness of ozone layer?

©
What is the unit of measurement of thickness of ozone layer?

©
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Absence of teeth, bifid tongue and mental retardness are observed in

©
Absence of teeth, bifid tongue and mental retardness are observed in

©
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Match the following. Choose the correct option.


Match the following. Choose the correct option.
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Chromosome numbers in rice leaf is X and chromosome numbers in egg of rat is Y.

©
Chromosome numbers in rice leaf is X and chromosome numbers in egg of rat is Y.

©
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Which type of carpel is observed in Michelia?

©
Which type of carpel is observed in Michelia?

©
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
In water hyacinth and water lily, the pollination is carried out by which agent?

©
In water hyacinth and water lily, the pollination is carried out by which agent?

©
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
In black pepper remnants of nucellus persistent is known as

©
In black pepper remnants of nucellus persistent is known as

©
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
_____hormone acts on the sertoli cells and stimulates secretion of some factors which help in the process of spermiogenesis.

©
_____hormone acts on the sertoli cells and stimulates secretion of some factors which help in the process of spermiogenesis.

©
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
What indicates ' x ' in the following diagram?


What indicates ' x ' in the following diagram?
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Zona Pellucida is first observed in

©
Zona Pellucida is first observed in

©
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The hormone releasing IUD is

©
The hormone releasing IUD is

©
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
In which ART method more than 8 blastomeres are transferred into the uterus to complete its further development?

©
In which ART method more than 8 blastomeres are transferred into the uterus to complete its further development?

©
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The blood group of Rameshbhai is B and his daughter's blood group is AB. What will be the blood group of his wife?

©
The blood group of Rameshbhai is B and his daughter's blood group is AB. What will be the blood group of his wife?

©
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
"The behaviour of chromosomes was parallel to the behaviour of genes" was proposed by____
©
"The behaviour of chromosomes was parallel to the behaviour of genes" was proposed by____
©
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Choose the correct triplet codon option for ' X '.
 [Sickle cell HbS peptide]
Choose the correct triplet codon option for ' X '.

[Sickle cell HbS peptide]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Histone proteins are rich in and amino acids.

©
Histone proteins are rich in and amino acids.

©
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
What is the correct sequence to transfer genetic material from virus to bacteria ir Hershey - Chase experiment?

©
What is the correct sequence to transfer genetic material from virus to bacteria ir Hershey - Chase experiment?

©
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
In Meselson and Stahl's experiment if E.coli was allowed to grow for 80 minutes then what would be the proportions of light and intermediate density of DNA molecule respectively? (If E.coli divides in every 20 minutes)

©
In Meselson and Stahl's experiment if E.coli was allowed to grow for 80 minutes then what would be the proportions of light and intermediate density of DNA molecule respectively? (If E.coli divides in every 20 minutes)

©
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The brain capacity of Homo habilis is___
©
The brain capacity of Homo habilis is___
©
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
In Gir forest out of 100 individuals 40 individuals are recessive. Calculate the percentage of heterozygous progeny by Hardy - Weinberg principle.

©
In Gir forest out of 100 individuals 40 individuals are recessive. Calculate the percentage of heterozygous progeny by Hardy - Weinberg principle.

©
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The ____ test confirmed the disease caused by salmonella typhi.

©
The ____ test confirmed the disease caused by salmonella typhi.

©
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
____quickly reduce the symptoms of allergy.

©
____quickly reduce the symptoms of allergy.

©
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
When ready - made antibodies are directly given to protect the body against foreign agents, it is called___
©
When ready - made antibodies are directly given to protect the body against foreign agents, it is called___
©
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Which of the following crop of Okra (Bhindi) is insect pest resistance?

©
Which of the following crop of Okra (Bhindi) is insect pest resistance?

©
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Which statement is incorrect for successful Bee-keeping?

©
Which statement is incorrect for successful Bee-keeping?

©
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