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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The Lyman series of a hydrogen atom belongs in which category
The Lyman series of a hydrogen atom belongs in which category
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Insulators can be charged by which of the following process?
Insulators can be charged by which of the following process?
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
In an adiabatic process with the ratio of two specific heat, γ=‌
3
2
, pressure is increased by ‌
2
3
%, then decrease in the volume will be
In an adiabatic process with the ratio of two specific heat, γ=‌
3
2
, pressure is increased by ‌
2
3
%, then decrease in the volume will be
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Two converging lenses of focal length 20‌cm and 40‌cm are placed in contact. The effective power of the combination is
Two converging lenses of focal length 20‌cm and 40‌cm are placed in contact. The effective power of the combination is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The formula of capacitative reactance is
The formula of capacitative reactance is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Which graph shows the correct v−x graph of a freely falling body?
Which graph shows the correct v−x graph of a freely falling body?
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The displacement x of a particle varies with time t,x=ae−pt+beqt, where a,b,p and q are positive constant. The velocity of the particle will
The displacement x of a particle varies with time t,x=ae−pt+beqt, where a,b,p and q are positive constant. The velocity of the particle will
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Which of the following quantity represents the dimensions of momentum?
Which of the following quantity represents the dimensions of momentum?
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The angle of projection with the horizontal in terms of maximum height attained and horizontal range is given by
The angle of projection with the horizontal in terms of maximum height attained and horizontal range is given by
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
For the same resonant frequency, if L is changed from L to ‌
L
3
, then capacitance should change from C to
For the same resonant frequency, if L is changed from L to ‌
L
3
, then capacitance should change from C to
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The velocity of the proton is one-fourth the velocity of the electron. What is the ratio of the de-Broglie wavelength of an electron to that of a proton?
The velocity of the proton is one-fourth the velocity of the electron. What is the ratio of the de-Broglie wavelength of an electron to that of a proton?
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
For an ideal gas, coefficient of volume expansion is given by
For an ideal gas, coefficient of volume expansion is given by
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Which of the following is not a green house gas?
Which of the following is not a green house gas?
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Two particles of masses m1=m,m2=2m and charges q1=q,q2=2q entered into uniform magnetic field. Find F1∕F2 (force ratio).
Two particles of masses m1=m,m2=2m and charges q1=q,q2=2q entered into uniform magnetic field. Find F1∕F2 (force ratio).
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Work done in moving a charge of 25C is 50J. Calculate potential difference, between two points.
Work done in moving a charge of 25C is 50J. Calculate potential difference, between two points.
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The correct arrangement in increasing order of wavelength of X-rays, UV rays, microwave is
The correct arrangement in increasing order of wavelength of X-rays, UV rays, microwave is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
What is the electric field near infinite plane sheet of charge density σ ?
What is the electric field near infinite plane sheet of charge density σ ?
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Which of the following waves are used to treatment of muscles ache?
Which of the following waves are used to treatment of muscles ache?
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Find the logic gate, when both the inputs are high but the output is low and vice-versa .
Find the logic gate, when both the inputs are high but the output is low and vice-versa .
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
What is the minimum band-gap of the LED diode?
What is the minimum band-gap of the LED diode?
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The displacement of a wave is given by
y=20‌cos(ωt+4z)
The amplitude of the given wave is
The displacement of a wave is given by
y=20‌cos(ωt+4z)
The amplitude of the given wave is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
If frequencies are (v−1) and (v+2), then find the value of beats.
If frequencies are (v−1) and (v+2), then find the value of beats.
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The function y=log‌ω‌t can represent
The function y=log‌ω‌t can represent
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Two spring of force constant k1 and k2 are configured as the figure given below
The angular frequency of this configuration is
Two spring of force constant k1 and k2 are configured as the figure given below
The angular frequency of this configuration is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The resistance of a wire is R‌ohm. If it is melted and stretched to n times its original length, its new resistance will be
The resistance of a wire is R‌ohm. If it is melted and stretched to n times its original length, its new resistance will be
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
An unpolarised beam of intensity I0 is incident on a pair of nicols making an angle of 60∘ with each other. The intensity of light emerging from the pair is
An unpolarised beam of intensity I0 is incident on a pair of nicols making an angle of 60∘ with each other. The intensity of light emerging from the pair is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The collision of the molecules of an ideal gas is taken as
The collision of the molecules of an ideal gas is taken as
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The average energy associated with a monoatomic molecule is
The average energy associated with a monoatomic molecule is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
For the given electrical arrangement, what is the value of current I ?
For the given electrical arrangement, what is the value of current I ?
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
If an electron in hydrogen atom jumps from an orbit of level n=3 to an orbit at level n=2, emitted radiation has a frequency of ( R= Rydberg's constant and c= velocity of light)
If an electron in hydrogen atom jumps from an orbit of level n=3 to an orbit at level n=2, emitted radiation has a frequency of ( R= Rydberg's constant and c= velocity of light)
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Within the elastic limit, the corresponding stress is known as
Within the elastic limit, the corresponding stress is known as
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A wire is stretched to double of its length. The strain is
A wire is stretched to double of its length. The strain is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Kepler's second law of planetary motion corresponds to
Kepler's second law of planetary motion corresponds to
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A constant potential energy of a satellite is given as
PE=r(KE)
where, PE= potential energy
and KE= kinetic energy.
The value of r will be
A constant potential energy of a satellite is given as
PE=r(KE)
where, PE= potential energy
and KE= kinetic energy.
The value of r will be
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A long solenoid has 20 turns cm−1. The current necessary to produce a magnetic field of 20‌mT inside the solenoid is approximately
A long solenoid has 20 turns cm−1. The current necessary to produce a magnetic field of 20‌mT inside the solenoid is approximately
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A constant current flows from A to B as shown in the figure . What is the direction of current in the circle?
A constant current flows from A to B as shown in the figure . What is the direction of current in the circle?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
According to Pascal's law, pressure in a fluid at rest is the same at all points, if
According to Pascal's law, pressure in a fluid at rest is the same at all points, if
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The surface tension of a liquid at its boiling point
The surface tension of a liquid at its boiling point
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Centre of mass of the given system of particles will be at

Centre of mass of the given system of particles will be at

Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Newton's second law of rotational motion of a system particles having angular momentum L is given by
Newton's second law of rotational motion of a system particles having angular momentum L is given by
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The motion of a particle of mass m is described by y=ut+gt2. The force acting on the particle will be
The motion of a particle of mass m is described by y=ut+gt2. The force acting on the particle will be
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
When a car of mass m is moving with speed v along a circle of radius r on a level road, the centripetal force is provided by f, where f denotes
(µs→. coefficient of friction, N→ normal reaction)
When a car of mass m is moving with speed v along a circle of radius r on a level road, the centripetal force is provided by f, where f denotes
(µs→. coefficient of friction, N→ normal reaction)
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
Ba-122 has half-life of 2‌min. Experiment has to be done using Ba-122 and it takes 10‌min to set up the experiment. It initially 80g at Ba-122 was taken, how much Ba was left when experiment was started?
Ba-122 has half-life of 2‌min. Experiment has to be done using Ba-122 and it takes 10‌min to set up the experiment. It initially 80g at Ba-122 was taken, how much Ba was left when experiment was started?
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
When the speed of light becomes ‌
2
3
 of its present value, then the energy released in a given atomic explosion would
When the speed of light becomes ‌
2
3
 of its present value, then the energy released in a given atomic explosion would
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
What should be the value of self-inductance of an inductor that should be connected to 220V 50‌Hz supply, so that a maximum current of 0.9 A flows through it?
What should be the value of self-inductance of an inductor that should be connected to 220V 50‌Hz supply, so that a maximum current of 0.9 A flows through it?
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
The magnifying power of a telescope is 9. When it is adjusted for parallel rays, the distance between the objective and eyepiece is 20‌cm. The focal length of lenses are
The magnifying power of a telescope is 9. When it is adjusted for parallel rays, the distance between the objective and eyepiece is 20‌cm. The focal length of lenses are
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Two masses of 1g and 9g are moving with equal kinetic energy. The ratio of magnitude of their momentum is
Two masses of 1g and 9g are moving with equal kinetic energy. The ratio of magnitude of their momentum is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
When two bodies collide with each other such that their kinetic energy remains constant. Their collision is said to be
When two bodies collide with each other such that their kinetic energy remains constant. Their collision is said to be
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
In detector, output circuit consists of R=10kΩ and C=100‌pF. The frequency of carrier signal which it can detect is
In detector, output circuit consists of R=10kΩ and C=100‌pF. The frequency of carrier signal which it can detect is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
For motion under central forces, which quantity will be conserved?
For motion under central forces, which quantity will be conserved?
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Which of the following statement is incorrect?
Which of the following statement is incorrect?
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
If impedance is √3 times of resistance, then find phase difference.
If impedance is √3 times of resistance, then find phase difference.
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
A bar magnet is oscillating in the earth's magnetic field with a period T. What happens to its period and motion, if its mass is quadrupled?
A bar magnet is oscillating in the earth's magnetic field with a period T. What happens to its period and motion, if its mass is quadrupled?
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The relative permeability of iron is 6000 . Its magnetic susceptibility is
The relative permeability of iron is 6000 . Its magnetic susceptibility is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Which of the following technique is not used for measuring small time intervals?
Which of the following technique is not used for measuring small time intervals?
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The relative errors in the measurement of two lengths 1.02‌cm±0.01‌cm and 9.89‌cm±0.01‌cm is
The relative errors in the measurement of two lengths 1.02‌cm±0.01‌cm and 9.89‌cm±0.01‌cm is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
In Young's double slit experiment with sodium vapour lamp of wavelength 589‌nm and slit 0.589‌mm apart, the half angular width of the central maxima is
In Young's double slit experiment with sodium vapour lamp of wavelength 589‌nm and slit 0.589‌mm apart, the half angular width of the central maxima is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
From the figure describing photoelectric effect, we may infer correctly that
From the figure describing photoelectric effect, we may infer correctly that
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Carnot cycle of an engine is given below

Total work done by the gas in one cycle is
Carnot cycle of an engine is given below

Total work done by the gas in one cycle is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
An optical fibre communication system works on a wavelength of 1.3µm. The number of subscribers it can feed, if a channel requires 20‌kHz are
An optical fibre communication system works on a wavelength of 1.3µm. The number of subscribers it can feed, if a channel requires 20‌kHz are
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
When the expansion of a gas occurs in vaccum and at constant volume, then
When the expansion of a gas occurs in vaccum and at constant volume, then
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
Carbon monoxide is poisonous to human beings because
Carbon monoxide is poisonous to human beings because
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Which one of the following sets of monosaccharides forms sucrose?
Which one of the following sets of monosaccharides forms sucrose?
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Under which of the following condition, the gases does not follow Henry's law?
Under which of the following condition, the gases does not follow Henry's law?
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
An aqueous solution of X on addition of hydrogen peroxide in ice cold conditions gives blue colour to the ethereal layer. Then, X can be
An aqueous solution of X on addition of hydrogen peroxide in ice cold conditions gives blue colour to the ethereal layer. Then, X can be
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Determine the specific rate constant of the reaction. If the half-life period of a first order reaction is 1402 s.
Determine the specific rate constant of the reaction. If the half-life period of a first order reaction is 1402 s.
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of 4.29Å. The radius of sodium atom is
Sodium metal crystallises in a body centred cubic lattice with a unit cell edge of 4.29Å. The radius of sodium atom is
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
Which of the following amino acid (NH2‌CHRCOOH) contains polar R group?
Which of the following amino acid (NH2‌CHRCOOH) contains polar R group?
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
Find the correct order of C−O bond length among CO,CO32−,CO2.
Find the correct order of C−O bond length among CO,CO32−,CO2.
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
The total number of nodes are given by
The total number of nodes are given by
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
In the equilibrium, AB⇌A+B, if the equilibrium concentration of A is double, then equilibrium concentration of B will be
In the equilibrium, AB⇌A+B, if the equilibrium concentration of A is double, then equilibrium concentration of B will be
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Which of the following is used as a drug to reduce fever?
Which of the following is used as a drug to reduce fever?
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The reaction
Ar‌N2+‌Cl
−Cu∕HCl
→
ArCl+N2+CuCl is called as
The reaction
Ar‌N2+‌Cl
−Cu∕HCl
→
ArCl+N2+CuCl is called as
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
In 3d-transition series, which one has the least melting point?
In 3d-transition series, which one has the least melting point?
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Among the following enzymes, which one is involved in the given below catalytic reaction?
C6H12O6(aq)→2C2H5‌OH(aq)+2CO2(g)
Among the following enzymes, which one is involved in the given below catalytic reaction?
C6H12O6(aq)→2C2H5‌OH(aq)+2CO2(g)
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Which of the following is correct mixture of azeotrope?
Which of the following is correct mixture of azeotrope?
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
Rate constant (boldsymbol‌K) of a reaction has least value at
Rate constant (boldsymbol‌K) of a reaction has least value at
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Arrange stability of the given carbon cation in decreasing order

Arrange stability of the given carbon cation in decreasing order

Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Which of the following pairs of ions in iso-electronic and iso-structural?
Which of the following pairs of ions in iso-electronic and iso-structural?
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
How much part of any corner atom actually belongs to a particular unit cell?
How much part of any corner atom actually belongs to a particular unit cell?
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
For the equilibrium,
2‌NOCl(g)⇌2‌NO(g)+Cl2(g)
the value of the equilibrium constant, KC is 3.75×10−6 at 1069K. The value of Kp for the reaction at this temperature will be
For the equilibrium,
2‌NOCl(g)⇌2‌NO(g)+Cl2(g)
the value of the equilibrium constant, KC is 3.75×10−6 at 1069K. The value of Kp for the reaction at this temperature will be
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Arrange the following artificial Sweetening agents in order of increasing sweetness.
Aspartame, Saccharin, Sucralose, Alitame
Arrange the following artificial Sweetening agents in order of increasing sweetness.
Aspartame, Saccharin, Sucralose, Alitame
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
Coupling reaction is an example of
Coupling reaction is an example of
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
The oxidation number of Cr in CrO5 which has the following structure, is
The oxidation number of Cr in CrO5 which has the following structure, is
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
Identify the pair of gases that have equal rates of diffusion
Identify the pair of gases that have equal rates of diffusion
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
The reducing agent which is used to reduce iron oxide in blast furnace is
The reducing agent which is used to reduce iron oxide in blast furnace is
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
Given that molar conductances for Ba(OH)2, BaCl2 and NH4‌Cl are 523.28, 280.0 and 129.8 Ω−1cm2mol−1 respectively. What is the molar conductivity (Ω−1cm2mol−1) of NH4‌OH ?
Given that molar conductances for Ba(OH)2, BaCl2 and NH4‌Cl are 523.28, 280.0 and 129.8 Ω−1cm2mol−1 respectively. What is the molar conductivity (Ω−1cm2mol−1) of NH4‌OH ?
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Xerophthalmia disease causes by which deficiency of vitamin?
Xerophthalmia disease causes by which deficiency of vitamin?
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
Find the final product for the reaction

Find the final product for the reaction

Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
The melting of ice
The melting of ice
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Which of the following options represent the correct composition of dettol?
Which of the following options represent the correct composition of dettol?
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
The chemical formula of Hinsberg's reagent is
The chemical formula of Hinsberg's reagent is
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
The increasing order of atomic radii of the following group 13 elements is
The increasing order of atomic radii of the following group 13 elements is
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
Which of the following colloids resemble to the true solutions?
Which of the following colloids resemble to the true solutions?
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
The hydrocarbon that cannot be prepared effectively by Wurtz reaction
The hydrocarbon that cannot be prepared effectively by Wurtz reaction
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
Why, ketones and carboxylic acids have higher boiling point as compared to aldehydes?
Why, ketones and carboxylic acids have higher boiling point as compared to aldehydes?
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
The vacant space in bec lattice cell is
The vacant space in bec lattice cell is
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
In the chemical reaction,
N2+3H2⇌2NH3 at equilibrium point.
In the chemical reaction,
N2+3H2⇌2NH3 at equilibrium point.
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
The change in the energy of system if 500‌cal of heat energy are added to a system and system does 350‌cal of work on the surroundings will be
The change in the energy of system if 500‌cal of heat energy are added to a system and system does 350‌cal of work on the surroundings will be
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Which of the following is not an antacid?
Which of the following is not an antacid?
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Which of the following is most stable?
Which of the following is most stable?
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
Which type of ligand is EDTA?
Which type of ligand is EDTA?
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
The density of a gas A is thrice that of a gas B at the same temperature. The molecular weight of gas B is twice that of A. What will be the ratio of pressure acting on B and A ?
The density of a gas A is thrice that of a gas B at the same temperature. The molecular weight of gas B is twice that of A. What will be the ratio of pressure acting on B and A ?
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
Which of the following is correct order of their increasing boiling points?
Which of the following is correct order of their increasing boiling points?
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
The specific conductivity of a solution containing 1.0g of anhydrous BaCl2 in 200cm3 of the solution has been found to be 0.0058Scm−1. The molar and equivalent conductivity of the solution respectively are
The specific conductivity of a solution containing 1.0g of anhydrous BaCl2 in 200cm3 of the solution has been found to be 0.0058Scm−1. The molar and equivalent conductivity of the solution respectively are
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
For the reaction 2N2O5→4NO2+O2, rate constant k is 4.48×10−5 s−1 and the initial pressure is 600‌atm. After 10‌min, determine the final pressure of N2O5.
For the reaction 2N2O5→4NO2+O2, rate constant k is 4.48×10−5 s−1 and the initial pressure is 600‌atm. After 10‌min, determine the final pressure of N2O5.
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
Calculate the difference between Cp and CV for 10 moles of an ideal gas
Calculate the difference between Cp and CV for 10 moles of an ideal gas
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Which of the following particulate matter is emitted from vehicles?
Which of the following particulate matter is emitted from vehicles?
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
Arrange the hydrides of group 15 in correct decreasing order of reducing nature.
Arrange the hydrides of group 15 in correct decreasing order of reducing nature.
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
What would be the molarity of one litre solution of 22.2g of CaCl2 ?
What would be the molarity of one litre solution of 22.2g of CaCl2 ?
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
For decolourisation of 1 mole of KMnO4, the moles of H2O2 required is
For decolourisation of 1 mole of KMnO4, the moles of H2O2 required is
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
What is the IUPAC name of following compound?
What is the IUPAC name of following compound?
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
Find the compound which have both polar and non-polar covalent bonds.
Find the compound which have both polar and non-polar covalent bonds.
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
What is the product formed when benzene react with CO and HCl in presence of anhydrous AlCl3 ?
What is the product formed when benzene react with CO and HCl in presence of anhydrous AlCl3 ?
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
Which of the following series of transitions in the spectrum of hydrogen atom fall in visible region?
Which of the following series of transitions in the spectrum of hydrogen atom fall in visible region?
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
The value of ∆G∘ for the phosphorylation of glucose in glycolysis is 13.8‌kJ∕mol. The value of KC at 298K is
The value of ∆G∘ for the phosphorylation of glucose in glycolysis is 13.8‌kJ∕mol. The value of KC at 298K is
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
The Lyman series of hydrogen spectrum lies in which region
The Lyman series of hydrogen spectrum lies in which region
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
The correct IUPAC name of the coordination compound K3[Fe(CN)5‌NO] is
The correct IUPAC name of the coordination compound K3[Fe(CN)5‌NO] is
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
Which of the following conditions are favourable for chemisorption?
Which of the following conditions are favourable for chemisorption?
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
Shade the feasible region for the inequations x+y≥2,2x+3y≤6,x≥0,y≥0 in a rough figure.
Shade the feasible region for the inequations x+y≥2,2x+3y≤6,x≥0,y≥0 in a rough figure.
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
The maximum value of x+y subject to 2x+3y≤6,x≥0,y≥0 is
The maximum value of x+y subject to 2x+3y≤6,x≥0,y≥0 is
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
Write the solution of the following LPP
Maximise Z=x+y
Subject to 3x+4y≤12,x≥0,y≥0.
Which point the value of Z is maximum?
Write the solution of the following LPP
Maximise Z=x+y
Subject to 3x+4y≤12,x≥0,y≥0.
Which point the value of Z is maximum?
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
The vector that must be added to
^
i
−3
^
j
+2
^
k
 and 3
^
i
+6
^
j
−7
^
k
 so resultant vector is a unit vector along the X - axis is
The vector that must be added to
^
i
−3
^
j
+2
^
k
 and 3
^
i
+6
^
j
−7
^
k
 so resultant vector is a unit vector along the X - axis is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
If |a|=8,|b|=3 and |a×b|=12, then find the angle between a and b.
If |a|=8,|b|=3 and |a×b|=12, then find the angle between a and b.
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
If for a=2
^
i
+3
^
j
+
^
k
,b=
^
i
−2
^
j
+
^
k
 and c=−3
^
i
+
^
j
+2
^
k
, then find [a bc].
If for a=2
^
i
+3
^
j
+
^
k
,b=
^
i
−2
^
j
+
^
k
 and c=−3
^
i
+
^
j
+2
^
k
, then find [a bc].
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
If for any 2×2 square matrix A, A(adj‌A)=[
80
08
], then the value of det(A)
If for any 2×2 square matrix A, A(adj‌A)=[
80
08
], then the value of det(A)
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
If matrix A=[
2−2
−22
] and A2=pA, then the value of p is
If matrix A=[
2−2
−22
] and A2=pA, then the value of p is
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
If A(adj‌A)=[
−200
0−20
00−2
], then |adj‌A| equals
If A(adj‌A)=[
−200
0−20
00−2
], then |adj‌A| equals
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
The coefficients a,b and c of the quadratic equation, ax2+bx+c=0 are obtained by throwing a dice three times. The probability that this equation has equal roots is
The coefficients a,b and c of the quadratic equation, ax2+bx+c=0 are obtained by throwing a dice three times. The probability that this equation has equal roots is
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
83log855 is equal to
83log855 is equal to
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
The equation of normal to the curve y=(1+x)y+sin‌−1(sin‌2x) at x=0 is
The equation of normal to the curve y=(1+x)y+sin‌−1(sin‌2x) at x=0 is
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
If L=
lim
x→0
‌
a−√a2−x2−
x2
4
x4
,a>0. If L is finite, then
If L=
lim
x→0
‌
a−√a2−x2−
x2
4
x4
,a>0. If L is finite, then
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
What will be the equation of circle whose centre is (1,2) and touches X - axis?
What will be the equation of circle whose centre is (1,2) and touches X - axis?
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
The approximate value of f(5.001), where f(x)=x3−7x2+15 is
The approximate value of f(5.001), where f(x)=x3−7x2+15 is
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
Find the centre and radius of the circle given by the equation 2x2+2y2+3x+4y+‌
9
8
=0.
Find the centre and radius of the circle given by the equation 2x2+2y2+3x+4y+‌
9
8
=0.
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
Find the maximum value of f(x)=‌
1
4x2+2x+1
.
Find the maximum value of f(x)=‌
1
4x2+2x+1
.
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
If f(x)={
ax+3x≤2
a2x−1x>2
., then the values of a for which f is continuous for all x are
If f(x)={
ax+3x≤2
a2x−1x>2
., then the values of a for which f is continuous for all x are
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
The value of
lim
x→0
(‌
ax+bx+cx
3
)2∕x,(a,b,c>0) is
The value of
lim
x→0
(‌
ax+bx+cx
3
)2∕x,(a,b,c>0) is
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
What will be the equation of the circle whose centre is (1,2) and which passes through the point (4,6) ?
What will be the equation of the circle whose centre is (1,2) and which passes through the point (4,6) ?
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
The line ‌
x−2
3
=‌
y−3
4
=‌
z−4
5
 is parallel to the plane
The line ‌
x−2
3
=‌
y−3
4
=‌
z−4
5
 is parallel to the plane
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
The equation of a plane passing through the line of intersection of the planes x+2y+3z=2, x−y+z=3 and at a distance ‌
2
√3
 from the point (3,1,−1) is
The equation of a plane passing through the line of intersection of the planes x+2y+3z=2, x−y+z=3 and at a distance ‌
2
√3
 from the point (3,1,−1) is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
The angle between the lines 2x=3y=−z and 6x=−y=−4z is
The angle between the lines 2x=3y=−z and 6x=−y=−4z is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
The point of intersection of the lines ‌
x−1
2
=‌
y−2
3
=‌
z−3
4
 and ‌
x−4
5
=‌
y−1
2
=z is
The point of intersection of the lines ‌
x−1
2
=‌
y−2
3
=‌
z−3
4
 and ‌
x−4
5
=‌
y−1
2
=z is
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
∫‌
2x
√1−4x
‌dx is equal to
∫‌
2x
√1−4x
‌dx is equal to
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
π∕2
∫
−π∕2
sin‌x‌dx
π∕2
∫
−π∕2
sin‌x‌dx
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
Integral of ∫‌
dx
x2[1+x4]3∕4
.
Integral of ∫‌
dx
x2[1+x4]3∕4
.
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral equals
Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral equals
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
Five persons A,B,C,D and E are in queue of a shop. The probability that A and E are always together, is
Five persons A,B,C,D and E are in queue of a shop. The probability that A and E are always together, is
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If A,B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=‌
3
2
P(A) and P(C)=‌
1
2
P(B), then P(A∪C) equals
If A,B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=‌
3
2
P(A) and P(C)=‌
1
2
P(B), then P(A∪C) equals
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p,0<p<1. If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is
A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows the correct answer is p,0<p<1. If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
If x and y are acute angles, such that cos‌x+cos‌y=‌
3
2
 and sin‌x+sin‌y=‌
3
4
, then sin‌(x+y) equals
If x and y are acute angles, such that cos‌x+cos‌y=‌
3
2
 and sin‌x+sin‌y=‌
3
4
, then sin‌(x+y) equals
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
The expression ‌
tan‌A
1−cot‌A
+‌
cot‌A
1−tan‌A
 can be written as
The expression ‌
tan‌A
1−cot‌A
+‌
cot‌A
1−tan‌A
 can be written as
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
If sin‌2x=4‌cos‌x, then x is equal to
If sin‌2x=4‌cos‌x, then x is equal to
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
If f(x) satisfies the relation 2f(x)+f(1−x)=x2 for all real x, then f(x) is
If f(x) satisfies the relation 2f(x)+f(1−x)=x2 for all real x, then f(x) is
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
If A={1,2,5,6} and B={1,2,3}, then (A×B)∩(B×A) is equal to
If A={1,2,5,6} and B={1,2,3}, then (A×B)∩(B×A) is equal to
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
Total number of elements in the power set of A containing 15 elements is
Total number of elements in the power set of A containing 15 elements is
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
What is the argument of the complex number ‌
(1+i)(2+i)
3−i
, where i=√−1 ?
What is the argument of the complex number ‌
(1+i)(2+i)
3−i
, where i=√−1 ?
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
Evaluate [i18+(‌
1
i
)25]3
Evaluate [i18+(‌
1
i
)25]3
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
If (√3+i)100=299(a+ib), then a2+b2 is equal to
If (√3+i)100=299(a+ib), then a2+b2 is equal to
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
Using mathematical induction, the numbers an,s are defined by a0=1,an+1=3n2+n+an, (n≥0). Then, an is equal to
Using mathematical induction, the numbers an,s are defined by a0=1,an+1=3n2+n+an, (n≥0). Then, an is equal to
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
If 49n+16n+P is divisible by 64 for all n∈N, then the least negative integral value of P is
If 49n+16n+P is divisible by 64 for all n∈N, then the least negative integral value of P is
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
23n−7n−1 is divisible by
23n−7n−1 is divisible by
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
The solution of the differential equation sec2x‌tan‌y‌dx+ sec2y‌tan‌x‌d‌y=0 is
The solution of the differential equation sec2x‌tan‌y‌dx+ sec2y‌tan‌x‌d‌y=0 is
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
The solution of the differential equation y‌
dy
dx
=x[‌
y2
x2
+‌
φ(
y2
x2
)
φ′(‌
y2
x2
)
] is
(where, C is a constant)
The solution of the differential equation y‌
dy
dx
=x[‌
y2
x2
+‌
φ(
y2
x2
)
φ′(‌
y2
x2
)
] is
(where, C is a constant)
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
The solution of the differential equation (1+y2)+(x−etan−1y)‌
dy
dx
=0 is
The solution of the differential equation (1+y2)+(x−etan−1y)‌
dy
dx
=0 is
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
The value of 1⋅1!+2⋅2!+3⋅3!+⋯+n⋅n ! is
The value of 1⋅1!+2⋅2!+3⋅3!+⋯+n⋅n ! is
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
The sum of the series (1+2)+(1+2+22)+ (1+2+22+23)+⋯ upto n terms is
The sum of the series (1+2)+(1+2+22)+ (1+2+22+23)+⋯ upto n terms is
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
If a,b,c are in AP, b−a,c−b and a are in GP, then a:b:c is
If a,b,c are in AP, b−a,c−b and a are in GP, then a:b:c is
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
The number of triangles which can be formed by using the vertices of a regular polygon of (n+3) sides is 220 . Then, n is equal to
The number of triangles which can be formed by using the vertices of a regular polygon of (n+3) sides is 220 . Then, n is equal to
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8 points?
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from those 8 points?
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
How many numbers greater than 40000 can be formed from the digits 2,4,5,5,7 ?
How many numbers greater than 40000 can be formed from the digits 2,4,5,5,7 ?
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
If a polygon of n sides has 275 diagonals, then n is equal to
If a polygon of n sides has 275 diagonals, then n is equal to
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
If two pairs of lines x2−2mxy−y2=0 and x2−2nxy−y2=0 are such that one of them represents the bisector of the angles between the other, then
If two pairs of lines x2−2mxy−y2=0 and x2−2nxy−y2=0 are such that one of them represents the bisector of the angles between the other, then
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
The distance of the point (1,2) from the line x+y+5=0 measured along the line parallel to 3x−y=7 is equal to
The distance of the point (1,2) from the line x+y+5=0 measured along the line parallel to 3x−y=7 is equal to
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
The slopes of the lines, which make an angle 45∘ with the line 3x−y=−5, are
The slopes of the lines, which make an angle 45∘ with the line 3x−y=−5, are
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
If 3 and 4 are intercepts of a line L≡0, then the distance of L≡0 from the origin is
If 3 and 4 are intercepts of a line L≡0, then the distance of L≡0 from the origin is
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
Number of terms in the binomial expansion of (x+a)53+(x−a)53 is
Number of terms in the binomial expansion of (x+a)53+(x−a)53 is
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
The coefficient of x10 in the expansion of 1+(1+x)+...+(1+x)20 is
The coefficient of x10 in the expansion of 1+(1+x)+...+(1+x)20 is
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
Middle term in the expansion of (x2+‌
1
x2
+2)n is
Middle term in the expansion of (x2+‌
1
x2
+2)n is
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