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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5cm distance. Magnitude of magnetic force experienced by 10cm length of wire P is F1. If distance between wires is halved and currents on them are doubled, force F2 on 10cm length of wire P will be :
[24-Jan-2023 Shift 1]
Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5cm distance. Magnitude of magnetic force experienced by 10cm length of wire P is F1. If distance between wires is halved and currents on them are doubled, force F2 on 10cm length of wire P will be :
[24-Jan-2023 Shift 1]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Given below are two statements :
Statement-I : An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.
Statement-II : Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Given below are two statements :
Statement-I : An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.
Statement-II : Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
From the photoelectric effect experiment, following observations are made. Identify which of these are correct
A. The stopping potential depends only on the work function of the metal.
B. The saturation current increases as the intensity of incident light increases.
C. The maximum kinetic energy of a photo electron depends on the intensity of the incident light.
D. Photoelectric effect can be explained using wave theory of light.
Choose the correct answer from the options given below:
[24-Jan-2023 Shift 1]
From the photoelectric effect experiment, following observations are made. Identify which of these are correct
A. The stopping potential depends only on the work function of the metal.
B. The saturation current increases as the intensity of incident light increases.
C. The maximum kinetic energy of a photo electron depends on the intensity of the incident light.
D. Photoelectric effect can be explained using wave theory of light.
Choose the correct answer from the options given below:
[24-Jan-2023 Shift 1]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth Re=6400km )
[24-Jan-2023 Shift 1]
The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth Re=6400km )
[24-Jan-2023 Shift 1]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A 100m long wire having cross-sectional area 6.25 ×104m2 and Young's modulus is 1010Nm2 is subjected to a load of 250N, then the elongation in the wire will be :
[24-Jan-2023 Shift 1]
A 100m long wire having cross-sectional area 6.25 ×104m2 and Young's modulus is 1010Nm2 is subjected to a load of 250N, then the elongation in the wire will be :
[24-Jan-2023 Shift 1]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
1g of a liquid is converted to vapour at 3×105Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600cm3 during this phase change, then the increase in internal energy in the process will be :
[24-Jan-2023 Shift 1]
1g of a liquid is converted to vapour at 3×105Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600cm3 during this phase change, then the increase in internal energy in the process will be :
[24-Jan-2023 Shift 1]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
A modulating signal is a square wave, as shown in the figure.

If the carrier wave is given as c(t)=2sin(8πt) volts, the modulation index is :
[24-Jan-2023 Shift 1]
A modulating signal is a square wave, as shown in the figure.

If the carrier wave is given as c(t)=2sin(8πt) volts, the modulation index is :
[24-Jan-2023 Shift 1]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if g= 10m s2 )

[24-Jan-2023 Shift 1]
As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if g= 10m s2 )

[24-Jan-2023 Shift 1]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Photodiodes are preferably operated in reverse bias condition for light intensity measurement.
Reason R : The current in the forward bias is more than the current in the reverse bias for a pn junction diode.
In the light of the above statement, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Photodiodes are preferably operated in reverse bias condition for light intensity measurement.
Reason R : The current in the forward bias is more than the current in the reverse bias for a pn junction diode.
In the light of the above statement, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If
E
and
K
represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : (ω angular frequency) :
[24-Jan-2023 Shift 1]
If
E
and
K
represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : (ω angular frequency) :
[24-Jan-2023 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
A circular loop of radius r is carrying current I A. The ratio of magnetic field at the centre of circular loop and at a distance r from the center of the loop on its axis is :
[24-Jan-2023 Shift 1]
A circular loop of radius r is carrying current I A. The ratio of magnetic field at the centre of circular loop and at a distance r from the center of the loop on its axis is :
[24-Jan-2023 Shift 1]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
A travelling wave is described by the equation y(x,t)=[0.05sin(8x4t]m
The velocity of the wave is : [all the quantities are in SI unit]
[24-Jan-2023 Shift 1]
A travelling wave is described by the equation y(x,t)=[0.05sin(8x4t]m
The velocity of the wave is : [all the quantities are in SI unit]
[24-Jan-2023 Shift 1]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3. The currents through the resistors R4 and R5 are I4 and I5 respectively. The values of I4 and I5 are :

(24V,3)
[24-Jan-2023 Shift 1]
As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3. The currents through the resistors R4 and R5 are I4 and I5 respectively. The values of I4 and I5 are :

(24V,3)
[24-Jan-2023 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Given below are two statements :
Statement I : If the Brewster's angle for the light propagating from air to glass is θB, then Brewster's angle for the light propagating from glass to air is
π
2
θB
.
Statement II : The Brewster's angle for the light propagating from glass to air is tan1(µg) where µg is the refractive index of glass.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Given below are two statements :
Statement I : If the Brewster's angle for the light propagating from air to glass is θB, then Brewster's angle for the light propagating from glass to air is
π
2
θB
.
Statement II : The Brewster's angle for the light propagating from glass to air is tan1(µg) where µg is the refractive index of glass.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
If two charges q1 and q2 are separated with distance ' d ' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force ?
[24-Jan-2023 Shift 1]
If two charges q1 and q2 are separated with distance ' d ' and placed in a medium of dielectric constant K. What will be the equivalent distance between charges in air for the same electrostatic force ?
[24-Jan-2023 Shift 1]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Consider the following radioactive decay process
218
84
A
α
A1
β
A2
γ
A3
α
A4
β+
A5
γ
A6
The mass number and the atomic number A6 are given by :
[24-Jan-2023 Shift 1]
Consider the following radioactive decay process
218
84
A
α
A1
β
A2
γ
A3
α
A4
β+
A5
γ
A6
The mass number and the atomic number A6 are given by :
[24-Jan-2023 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Given below are two statements :
Statements I : The temperature of a gas is 73C. When the gas is heated to 527C, the root mean square speed of the molecules is doubled.
Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Given below are two statements :
Statements I : The temperature of a gas is 73C. When the gas is heated to 527C, the root mean square speed of the molecules is doubled.
Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The maximum vertical height to which a man can throw a ball is 136m. The maximum horizontal distance upto which he can throw the same ball is
[24-Jan-2023 Shift 1]
The maximum vertical height to which a man can throw a ball is 136m. The maximum horizontal distance upto which he can throw the same ball is
[24-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A conducting loop of radius
10
π
cm
is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:
[24-Jan-2023 Shift 1]
A conducting loop of radius
10
π
cm
is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25 s is:
[24-Jan-2023 Shift 1]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Match List I with List II

[24-Jan-2023 Shift 1]
Match List I with List II

[24-Jan-2023 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A spherical body of mass 2kg starting from rest acquires a kinetic energy of 10000J at the end of 5th second. The force acted on the body is ___N.
[24-Jan-2023 Shift 1]
A spherical body of mass 2kg starting from rest acquires a kinetic energy of 10000J at the end of 5th second. The force acted on the body is ___N.
[24-Jan-2023 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A block of mass 2kg is attached with two identical springs of spring constant 20Nm each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of oscillation is
π
x
in SI unit. The value of x is_____

[24-Jan-2023 Shift 1]
A block of mass 2kg is attached with two identical springs of spring constant 20Nm each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of oscillation is
π
x
in SI unit. The value of x is_____

[24-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A hole is drilled in a metal sheet. At 27C, the diameter of hole is 5cm. When the sheet is heated to 177C, the change in the diameter of hole is d× 103cm. The value of d will be __________if coefficient of linear expansion of the metal is 1.6× 105C.
[24-Jan-2023 Shift 1]
A hole is drilled in a metal sheet. At 27C, the diameter of hole is 5cm. When the sheet is heated to 177C, the change in the diameter of hole is d× 103cm. The value of d will be __________if coefficient of linear expansion of the metal is 1.6× 105C.
[24-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
In the circuit shown in the figure, the ratio of the quality factor and the band width is____s.

[24-Jan-2023 Shift 1]
In the circuit shown in the figure, the ratio of the quality factor and the band width is____s.

[24-Jan-2023 Shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4mm and 8mm respectively. The resistance of the conductor is n×103.

If the resistivity of the material is 2.4×108m. The value of n is___
[24-Jan-2023 Shift 1]
A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4mm and 8mm respectively. The resistance of the conductor is n×103.

If the resistivity of the material is 2.4×108m. The value of n is___
[24-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30cm and refraction index of the material for both the lenses is 1.75. Both the lenses are placed at distance of 40 cm from each other. Due to the combination, the image of the object is formed at distance x= ___cm, from concave lens.

[24-Jan-2023 Shift 1]
As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30cm and refraction index of the material for both the lenses is 1.75. Both the lenses are placed at distance of 40 cm from each other. Due to the combination, the image of the object is formed at distance x= ___cm, from concave lens.

[24-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5cm then its radius of gyration about PQ will be xcm. The value of x is___

[24-Jan-2023 Shift 1]
Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5cm then its radius of gyration about PQ will be xcm. The value of x is___

[24-Jan-2023 Shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
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]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Assume that protons and neutrons have equal masses. Mass of a nucleon is 1.6×1027kg and radius of nucleus is 1.5×1015A13m. The approximate ratio of the nuclear density and water density is n×1013. The value of n is____
[24-Jan-2023 Shift 1]
Assume that protons and neutrons have equal masses. Mass of a nucleon is 1.6×1027kg and radius of nucleus is 1.5×1015A13m. The approximate ratio of the nuclear density and water density is n×1013. The value of n is____
[24-Jan-2023 Shift 1]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A stream of a positively charged particles having
q
m
=2×1011
C
kg
and velocity
v
0
=3×107
i
m
s
is deflected by an electric field 1.8
j
kV
m
. The electric field exists in a region of 10cm along x direction. Due to the electric field, the deflection of the charge particles in the y direction is ____mm.
[24-Jan-2023 Shift 1]
A stream of a positively charged particles having
q
m
=2×1011
C
kg
and velocity
v
0
=3×107
i
m
s
is deflected by an electric field 1.8
j
kV
m
. The electric field exists in a region of 10cm along x direction. Due to the electric field, the deflection of the charge particles in the y direction is ____mm.
[24-Jan-2023 Shift 1]
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Compound (X) undergoes following sequence of reactions to give the Lactone (Y).

[24-Jan-2023 Shift 1]
Compound (X) undergoes following sequence of reactions to give the Lactone (Y).

[24-Jan-2023 Shift 1]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of the hydrolysis increases.
Reason R: Iis a good nucleophile as well as a good leaving group.
In the light of the above statements, choose the correct answer from the options given below.
[24-Jan-2023 Shift 1]
Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of the hydrolysis increases.
Reason R: Iis a good nucleophile as well as a good leaving group.
In the light of the above statements, choose the correct answer from the options given below.
[24-Jan-2023 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Order of Covalent bond;
A. KF>KI;LiF>KF
B. KF<KI;LiF>KF
C. SnCl4>SnCl2;CuCl>NaCl
D. LiF>KF;CuCl<NaCl
E. KF<KI;CuCl>NaCl
[24-Jan-2023 Shift 1]
Order of Covalent bond;
A. KF>KI;LiF>KF
B. KF<KI;LiF>KF
C. SnCl4>SnCl2;CuCl>NaCl
D. LiF>KF;CuCl<NaCl
E. KF<KI;CuCl>NaCl
[24-Jan-2023 Shift 1]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Increasing order of stability of the resonance structure is :

[24-Jan-2023 Shift 1]
Increasing order of stability of the resonance structure is :

[24-Jan-2023 Shift 1]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is
[24-Jan-2023 Shift 1]
The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is
[24-Jan-2023 Shift 1]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Match List I with List II.

[24-Jan-2023 Shift 1]
Match List I with List II.

[24-Jan-2023 Shift 1]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power 'n' i.e. vn of X-rays emitted is plotted against atomic number ' Z ', following graph is obtained.
The value of ' n ' is
[24-Jan-2023 Shift 1]
It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power 'n' i.e. vn of X-rays emitted is plotted against atomic number ' Z ', following graph is obtained.

The value of ' n ' is
[24-Jan-2023 Shift 1]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Which of the Phosphorus oxoacid can create silver mirror from AgNO3 solution ?
[24-Jan-2023 Shift 1]
Which of the Phosphorus oxoacid can create silver mirror from AgNO3 solution ?
[24-Jan-2023 Shift 1]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The primary and secondary valencies of cobalt respectively in [Co(NH3)5Cl]Cl2 are :
[24-Jan-2023 Shift 1]
The primary and secondary valencies of cobalt respectively in [Co(NH3)5Cl]Cl2 are :
[24-Jan-2023 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
An ammoniacal metal salt solution gives a brilliant red precipitate on addition of dimethylglyoxime. The metal ion is :
[24-Jan-2023 Shift 1]
An ammoniacal metal salt solution gives a brilliant red precipitate on addition of dimethylglyoxime. The metal ion is :
[24-Jan-2023 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
' R ' formed in the following sequence of reaction is:

[24-Jan-2023 Shift 1]
' R ' formed in the following sequence of reaction is:

[24-Jan-2023 Shift 1]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Choose the correct answer from the options given below :

[24-Jan-2023 Shift 1]
Choose the correct answer from the options given below :

[24-Jan-2023 Shift 1]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Statement I : For colloidal particles, the values of colligative properties are of small order as compared to values shown by true solutions at same concentration.
Statement II : For colloidal particles, the potential difference between the fixed layer and the diffused layer of same charges is called the electrokinetic potential or zeta potential.
In the light of the above statements, choose the correct answer from the options given below.
[24-Jan-2023 Shift 1]
Statement I : For colloidal particles, the values of colligative properties are of small order as compared to values shown by true solutions at same concentration.
Statement II : For colloidal particles, the potential difference between the fixed layer and the diffused layer of same charges is called the electrokinetic potential or zeta potential.
In the light of the above statements, choose the correct answer from the options given below.
[24-Jan-2023 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Reaction of BeO with ammonia and hydrogen fluoride gives 'A' which on thermal decomposition gives BeF2 and NH4F. What is 'A' ?
[24-Jan-2023 Shift 1]
Reaction of BeO with ammonia and hydrogen fluoride gives 'A' which on thermal decomposition gives BeF2 and NH4F. What is 'A' ?
[24-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
'A' and 'B' formed in the following set of reactions are :

[24-Jan-2023 Shift 1]
'A' and 'B' formed in the following set of reactions are :

[24-Jan-2023 Shift 1]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
In the following given reaction ' A ' is

[24-Jan-2023 Shift 1]
In the following given reaction ' A ' is

[24-Jan-2023 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Decreasing order of the hydrogen bonding in following forms of water is correctly represented by
A. Liquid water
B. Ice
C. Impure water
[24-Jan-2023 Shift 1]
Decreasing order of the hydrogen bonding in following forms of water is correctly represented by
A. Liquid water
B. Ice
C. Impure water
[24-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Given below are two statements:
Statement I : Noradrenaline is a neurotransmitter.
Statement II : Low level of noradrenaline is not the cause of depression in human.
In the light of the above statements, choose the correct answer from the options given below
[24-Jan-2023 Shift 1]
Given below are two statements:
Statement I : Noradrenaline is a neurotransmitter.
Statement II : Low level of noradrenaline is not the cause of depression in human.
In the light of the above statements, choose the correct answer from the options given below
[24-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
In the depression of freezing point experiment
A. Vapour pressure of the solution is less than that of pure solvent
B. Vapour pressure of the solution is more than that of pure solvent
C. Only solute molecules solidify at the freezing point
D. Only solvent molecules solidify at the freezing point
[24-Jan-2023 Shift 1]
In the depression of freezing point experiment
A. Vapour pressure of the solution is less than that of pure solvent
B. Vapour pressure of the solution is more than that of pure solvent
C. Only solute molecules solidify at the freezing point
D. Only solvent molecules solidify at the freezing point
[24-Jan-2023 Shift 1]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Which of the following is true about freons?
[24-Jan-2023 Shift 1]
Which of the following is true about freons?
[24-Jan-2023 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The dissociation constant of acetic is x×105. When 25mL of 0.2MCH3COONa solution is mixed with 25mL of 0.02MCH3COOH solution, the pH of the resultant solution is found to be equal to 5 . The value of x is___
[24-Jan-2023 Shift 1]
The dissociation constant of acetic is x×105. When 25mL of 0.2MCH3COONa solution is mixed with 25mL of 0.02MCH3COOH solution, the pH of the resultant solution is found to be equal to 5 . The value of x is___
[24-Jan-2023 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
5g of NaOH was dissolved in deionized water to prepare a 450mL stock solution. What volume (in mL ) of this solution would be required to prepare 500mL of 0.1M solution?
Given : Molar Mass of Na,O and H is 23, 16 and 1 gmol1 respectively
[24-Jan-2023 Shift 1]
5g of NaOH was dissolved in deionized water to prepare a 450mL stock solution. What volume (in mL ) of this solution would be required to prepare 500mL of 0.1M solution?
Given : Molar Mass of Na,O and H is 23, 16 and 1 gmol1 respectively
[24-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
If wavelength of the first line of the Paschen series of hydrogen atom is 720nm, then the wavelength of the second line of this series is _____nm
(Nearest integer)
[24-Jan-2023 Shift 1]
If wavelength of the first line of the Paschen series of hydrogen atom is 720nm, then the wavelength of the second line of this series is _____nm
(Nearest integer)
[24-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The number of correct statement/s from the following is___
A. Larger the activation energy, smaller is the value of the rate constant.
B. The higher is the activation energy, higher is the value of the temperature coefficient.
C. At lower temperatures, increase in temperature causes more change in the value of k than at higher temperature.
D. A plot of lnk vs
1
T
is a straight line with slope equal to
Ea
R
[24-Jan-2023 Shift 1]
The number of correct statement/s from the following is___
A. Larger the activation energy, smaller is the value of the rate constant.
B. The higher is the activation energy, higher is the value of the temperature coefficient.
C. At lower temperatures, increase in temperature causes more change in the value of k than at higher temperature.
D. A plot of lnk vs
1
T
is a straight line with slope equal to
Ea
R
[24-Jan-2023 Shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
At 298K, a 1 litre solution containing 10mmol of Cr2O72 and 100mmol of Cr3+ shows a pH of 3.0.

Given : Cr2O72Cr3+;E0=1.330V and
2.303RT
F
=0.059V

The potential for the half cell reaction is x×103 V. The value of x is____
[24-Jan-2023 Shift 1]
At 298K, a 1 litre solution containing 10mmol of Cr2O72 and 100mmol of Cr3+ shows a pH of 3.0.

Given : Cr2O72Cr3+;E0=1.330V and
2.303RT
F
=0.059V

The potential for the half cell reaction is x×103 V. The value of x is____
[24-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
When Fe0.93O is heated in presence of oxygen, it converts to Fe2O3 . The number of correct statement/s from the following is___

A. The equivalent weight of Fe0.93O is
Molecular weight
0.79
.

B. The number of moles of Fe2+ and Fe3+ in 1 mole of Fe0.93O is 0.79 and 0.14 respectively.

C. Fe0.93O is metal deficient with lattice comprising of cubic closed packed arrangement of O2 ions.

D. The % composition of Fe2+ and Fe3+ in Fe0.93O is 85% and 15% respectively.
[24-Jan-2023 Shift 1]
When Fe0.93O is heated in presence of oxygen, it converts to Fe2O3 . The number of correct statement/s from the following is___

A. The equivalent weight of Fe0.93O is
Molecular weight
0.79
.

B. The number of moles of Fe2+ and Fe3+ in 1 mole of Fe0.93O is 0.79 and 0.14 respectively.

C. Fe0.93O is metal deficient with lattice comprising of cubic closed packed arrangement of O2 ions.

D. The % composition of Fe2+ and Fe3+ in Fe0.93O is 85% and 15% respectively.
[24-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The d-electronic configuration of [CoCl4]2 in tetrahedral crystal field is emt2n. Sum of ' m ' and 'number of unpaired electrons is_____
[24-Jan-2023 Shift 1]
The d-electronic configuration of [CoCl4]2 in tetrahedral crystal field is emt2n. Sum of ' m ' and 'number of unpaired electrons is_____
[24-Jan-2023 Shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
For independent process at 300 K.

The number of non-spontaneous process from the following is____
[24-Jan-2023 Shift 1]
For independent process at 300 K.

The number of non-spontaneous process from the following is____
[24-Jan-2023 Shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Uracil is base present in RNA with the following structure. % of N in uracil is___
Given :
Molar mass N=14gmol1;O=16gmol1;C= 12gmol1;H=1gmol1;
[24-Jan-2023 Shift 1]
Uracil is base present in RNA with the following structure. % of N in uracil is___

Given :
Molar mass N=14gmol1;O=16gmol1;C= 12gmol1;H=1gmol1;
[24-Jan-2023 Shift 1]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Number of moles of AgCl formed in the following reaction is

[24-Jan-2023 Shift 1]
Number of moles of AgCl formed in the following reaction is

[24-Jan-2023 Shift 1]
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The distance of the point (7,3,4) from the plane passing through the points (2,3,1),(1,1,2) and (3,4,2) is :
[24-Jan-2023 Shift 1]
The distance of the point (7,3,4) from the plane passing through the points (2,3,1),(1,1,2) and (3,4,2) is :
[24-Jan-2023 Shift 1]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
lim
t0
(1
1
sin2t
+2
1
sin2t
+....
+n
1
sin2t
)
sin2t
is equal to
[24-Jan-2023 Shift 1]
lim
t0
(1
1
sin2t
+2
1
sin2t
+....
+n
1
sin2t
)
sin2t
is equal to
[24-Jan-2023 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Let
u
=
i
j
2k
,
v
=2
i
+
j
k
,
v
w
=2
and
v
×
w
=
u
+λ
v
. Then
u
w
is equal to
[24-Jan-2023 Shift 1]
Let
u
=
i
j
2k
,
v
=2
i
+
j
k
,
v
w
=2
and
v
×
w
=
u
+λ
v
. Then
u
w
is equal to
[24-Jan-2023 Shift 1]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The value
22
r=0
22
Cr
23
Cr
is
[24-Jan-2023 Shift 1]
The value
22
r=0
22
Cr
23
Cr
is
[24-Jan-2023 Shift 1]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Let a tangent to the curve y2=24x meet the curve xy=2 at the points A and B. Then the mid points of such line segments AB lie on a parabola with the
[24-Jan-2023 Shift 1]
Let a tangent to the curve y2=24x meet the curve xy=2 at the points A and B. Then the mid points of such line segments AB lie on a parabola with the
[24-Jan-2023 Shift 1]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations
x+y+z=1
2x+Ny+2z=2
3x+3y+Nz=3
has unique solution is , then the sum of value of k and all possible values of N is
[24-Jan-2023 Shift 1]
Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations
x+y+z=1
2x+Ny+2z=2
3x+3y+Nz=3
has unique solution is , then the sum of value of k and all possible values of N is
[24-Jan-2023 Shift 1]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
tan1(
1+3
3+3
)
+ sec1(
8+43
6+33
)
is equal to
[24-Jan-2023 Shift 1]
tan1(
1+3
3+3
)
+ sec1(
8+43
6+33
)
is equal to
[24-Jan-2023 Shift 1]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Let PQR be a triangle. The points A,B and C are on the sides QR,RP and PQ respectively such that
QA
AR
=
RB
BP
=
PC
CQ
=
1
2
. Then
Area (PQR)
Area (ABC)
is equal to
[24-Jan-2023 Shift 1]
Let PQR be a triangle. The points A,B and C are on the sides QR,RP and PQ respectively such that
QA
AR
=
RB
BP
=
PC
CQ
=
1
2
. Then
Area (PQR)
Area (ABC)
is equal to
[24-Jan-2023 Shift 1]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
If A and B are two non-zero n×n matrics such that A2+B=A2B, then
[24-Jan-2023 Shift 1]
If A and B are two non-zero n×n matrics such that A2+B=A2B, then
[24-Jan-2023 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Let y=y(x) be the solution of the differential equation x3dy+(xy1)dx=0,x>0, y(
1
2
)
=3e
Then y(1) is equal to
[24-Jan-2023 Shift 1]
Let y=y(x) be the solution of the differential equation x3dy+(xy1)dx=0,x>0, y(
1
2
)
=3e
Then y(1) is equal to
[24-Jan-2023 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The area enclosed by the curves y2+4x=4 and y2x=2 is :
[24-Jan-2023 Shift 1]
The area enclosed by the curves y2+4x=4 and y2x=2 is :
[24-Jan-2023 Shift 1]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Let α be a root of the equation
(ac)x2+(ba)x+(cb)=0 where a,b,c are distinct real numbers such that the matrix
[
α2α1
111
abc
]

is singular. Then the value of
(ac)2
(ba)(cb)
+
(ba)2
(ac)(cb)
+
(cb)2
(ac)(ba)
is
[24-Jan-2023 Shift 1]
Let α be a root of the equation
(ac)x2+(ba)x+(cb)=0 where a,b,c are distinct real numbers such that the matrix
[
α2α1
111
abc
]

is singular. Then the value of
(ac)2
(ba)(cb)
+
(ba)2
(ac)(cb)
+
(cb)2
(ac)(ba)
is
[24-Jan-2023 Shift 1]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The distance of the point (1,9,16) from the plane 2x+3yz=5 measured parallel to the line
x+4
3
=
2y
4
=
z3
12
is
[24-Jan-2023 Shift 1]
The distance of the point (1,9,16) from the plane 2x+3yz=5 measured parallel to the line
x+4
3
=
2y
4
=
z3
12
is
[24-Jan-2023 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
For three positive integers p,q,r,xpqq2=yqr=zp2r and r=pq+1 such that 3,3logyx,3logzy,7logxz are in A.P. with common difference
1
2
. Then rpq is equal to
[24-Jan-2023 Shift 1]
For three positive integers p,q,r,xpqq2=yqr=zp2r and r=pq+1 such that 3,3logyx,3logzy,7logxz are in A.P. with common difference
1
2
. Then rpq is equal to
[24-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Let p,q and (13i)200=2199(p+iq), i=1 Then p+q+q2 and pq+q2 are roots of the equation.
[24-Jan-2023 Shift 1]
Let p,q and (13i)200=2199(p+iq), i=1 Then p+q+q2 and pq+q2 are roots of the equation.
[24-Jan-2023 Shift 1]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The relation R={(a,b):gcd(a,b)=1,2ab,a,b} is:
[24-Jan-2023 Shift 1]
The relation R={(a,b):gcd(a,b)=1,2ab,a,b} is:
[24-Jan-2023 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The compound statement ((PQ))((P)Q)((P)(Q)) is equivalent to
[24-Jan-2023 Shift 1]
The compound statement ((PQ))((P)Q)((P)(Q)) is equivalent to
[24-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Let f(x)={
x2sin(
1
x
)
,x0
0,x=0
.
; Then at x=0
[24-Jan-2023 Shift 1]
Let f(x)={
x2sin(
1
x
)
,x0
0,x=0
.
; Then at x=0
[24-Jan-2023 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The equation x24x+[x]+3=x[x], where [x] denotes the greatest integer function, has:
[24-Jan-2023 Shift 1]
The equation x24x+[x]+3=x[x], where [x] denotes the greatest integer function, has:
[24-Jan-2023 Shift 1]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Let be the sample space and A be an event. Given below are two statements :
(S1) : If P(A)=0, then A=φ
(S2) : If P(A)=1, then A= Then
[24-Jan-2023 Shift 1]
Let be the sample space and A be an event. Given below are two statements :
(S1) : If P(A)=0, then A=φ
(S2) : If P(A)=1, then A= Then
[24-Jan-2023 Shift 1]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Let C be the largest circle centred at (2,0) and inscribed in the ellipse =
x2
36
+
y2
16
=1
.
If (1,α) lies on C, then 10α2 is equal to____
[24-Jan-2023 Shift 1]
Let C be the largest circle centred at (2,0) and inscribed in the ellipse =
x2
36
+
y2
16
=1
.
If (1,α) lies on C, then 10α2 is equal to____
[24-Jan-2023 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Suppose
2023
r=0
r22023Cr=2023×α×22022
. Then the value of α is
[24-Jan-2023 Shift 1]
Suppose
2023
r=0
r22023Cr=2023×α×22022
. Then the value of α is
[24-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The value of 12
3
0
|x23x+2|dx
is
[24-Jan-2023 Shift 1]
The value of 12
3
0
|x23x+2|dx
is
[24-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits occupy only even places, is__
[24-Jan-2023 Shift 1]
The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits occupy only even places, is__
[24-Jan-2023 Shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Let λ and let the equation E be |x|22|x|+|λ3|=0. Then the largest element in the set S= {x+λ:x is an integer solution of E} is
[24-Jan-2023 Shift 1]
Let λ and let the equation E be |x|22|x|+|λ3|=0. Then the largest element in the set S= {x+λ:x is an integer solution of E} is
[24-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is
[24-Jan-2023 Shift 1]
A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is
[24-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Let a tangent to the Curve 9x2+16y2=144 intersect the coordinate axes at the points A and B. Then, the minimum length of the line segment AB is
[24-Jan-2023 Shift 1]
Let a tangent to the Curve 9x2+16y2=144 intersect the coordinate axes at the points A and B. Then, the minimum length of the line segment AB is
[24-Jan-2023 Shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The value of
8
π
π
2
0
(cosx)2023
(sinx)2023+(cosx)2023
dx
is____
[24-Jan-2023 Shift 1]
The value of
8
π
π
2
0
(cosx)2023
(sinx)2023+(cosx)2023
dx
is____
[24-Jan-2023 Shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The shortest distance between the lines
x2
3
=
y+1
2
=
z6
2
and
x6
3
=
1y
2
=
z+8
0
is equal to
[24-Jan-2023 Shift 1]
The shortest distance between the lines
x2
3
=
y+1
2
=
z6
2
and
x6
3
=
1y
2
=
z+8
0
is equal to
[24-Jan-2023 Shift 1]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The 4th term of GP is 500 and its common ratio is
1
m
,mN
. Let Sn denote the sum of the first n terms of this GP. If S6>S5+1 and S7<S6+
1
2
, then the number of possible values of m is
[24-Jan-2023 Shift 1]
The 4th term of GP is 500 and its common ratio is
1
m
,mN
. Let Sn denote the sum of the first n terms of this GP. If S6>S5+1 and S7<S6+
1
2
, then the number of possible values of m is
[24-Jan-2023 Shift 1]
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