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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?
©
What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?
©
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
A mercury drop of radius 1 cm is sprayed into 106 drops of equal size. The energy expressed in joule is (surface tension of Mercury is 460×10–3
N
m
)
©
A mercury drop of radius 1 cm is sprayed into 106 drops of equal size. The energy expressed in joule is (surface tension of Mercury is 460×10–3
N
m
)
©
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Two plano-concave lenses (1 and 2) of glass of refractive index 1.5 have radii of curvature 25 cm and 20 cm. They are placed in contact with their curved surface towards each other and the space between them is filled with liquid of refractive index 4/3. Then the combination is


Two plano-concave lenses (1 and 2) of glass of refractive index 1.5 have radii of curvature 25 cm and 20 cm. They are placed in contact with their curved surface towards each other and the space between them is filled with liquid of refractive index 4/3. Then the combination is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A charged particle moves through a magnetic field perpendicular to its direction. Then
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A charged particle moves through a magnetic field perpendicular to its direction. Then
©
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is
©
After two hours, one-sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is
©
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A coil of inductance 300 mH and resistance 2Ω is connected to a source of voltage 2 V. The current reaches half of its steady state value in
©
A coil of inductance 300 mH and resistance 2Ω is connected to a source of voltage 2 V. The current reaches half of its steady state value in
©
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Two concentric conducting thin spherical shells A, and B having radii rA and rB ((rB>rA) are charged to QA and –QB(|QB|>|QA|). The electric field along a line passing throughthe centre is
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Two concentric conducting thin spherical shells A, and B having radii rA and rB ((rB>rA) are charged to QA and –QB(|QB|>|QA|). The electric field along a line passing throughthe centre is
©
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
A capillary tube of radius R is immersed in water and water rises in it to a height H. Mass of water in the capillary tube is M. If the radius of the tube is doubled, mass of water that will rise in the capillary tube will now be :
©
A capillary tube of radius R is immersed in water and water rises in it to a height H. Mass of water in the capillary tube is M. If the radius of the tube is doubled, mass of water that will rise in the capillary tube will now be :
©
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of M is
©
A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of M is
©
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
When a metal surface is illuminated by light of wavelengths 400 nm and 250 nm, the maximum velocities of the photoelectrons ejected are v and 2v respectively. The work function of the metal is (h - Planck's constant, c = velocity of light in air)
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When a metal surface is illuminated by light of wavelengths 400 nm and 250 nm, the maximum velocities of the photoelectrons ejected are v and 2v respectively. The work function of the metal is (h - Planck's constant, c = velocity of light in air)
©
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Two conducting shells of radius a and b are connected by conducting wire as shown in figure. The capacity of system is


Two conducting shells of radius a and b are connected by conducting wire as shown in figure. The capacity of system is


Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
When 92U235 undergoes fission, 0.1% of its original mass is changed into energy. How much energy is released if 1 kg of 92U235 undergoes fission
©
When 92U235 undergoes fission, 0.1% of its original mass is changed into energy. How much energy is released if 1 kg of 92U235 undergoes fission
©
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
One mole of an ideal gas is taken from state A to state B by three different processes,

(i) ACB (ii) ADB (iii) AEB as shown in the P-V diagram. The heat absorbed by the gas is
©
One mole of an ideal gas is taken from state A to state B by three different processes,

(i) ACB (ii) ADB (iii) AEB as shown in the P-V diagram. The heat absorbed by the gas is
©
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
In the formula X=3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are :
©
In the formula X=3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are :
©
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Two very long, straight, parallel wires carry steady currents I and -I respectively. The distance between the wires is d. At a certain instant of time, a point charge q is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity v is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
©
Two very long, straight, parallel wires carry steady currents I and -I respectively. The distance between the wires is d. At a certain instant of time, a point charge q is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity v is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
©
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Two projectiles A and B thrown with speeds in the ratio 1:√2 acquired the same heights. If A is thrown at an angle of 45° with the horizontal, the angle of projection of B will be
©
Two projectiles A and B thrown with speeds in the ratio 1:√2 acquired the same heights. If A is thrown at an angle of 45° with the horizontal, the angle of projection of B will be
©
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A meter bridge is set up as shown, to determine an unknown resistance ‘X’ using a standard 10 ohm resistor. The galvanometer shows null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of ‘X’ is


A meter bridge is set up as shown, to determine an unknown resistance ‘X’ using a standard 10 ohm resistor. The galvanometer shows null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of ‘X’ is


Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A disk of radius a/4 having a uniformly distributed charge 6 C is placed in the x−y plane with its centre at (–a/2,0,0). A rod of length a carrying a uniformly distributed charge 8 C is placed on the x-axis from x=a/4 to x=5a/4. Two point charges –7C and 3C are placed at (a/4,–a/4,0) and (–3a/4,3a/4,0), respectively. Consider a cubical surface formed by six surfaces x=±a/2,y=±a/2,z=±a/2. The electric flux through this cubical surface is


A disk of radius a/4 having a uniformly distributed charge 6 C is placed in the x−y plane with its centre at (–a/2,0,0). A rod of length a carrying a uniformly distributed charge 8 C is placed on the x-axis from x=a/4 to x=5a/4. Two point charges –7C and 3C are placed at (a/4,–a/4,0) and (–3a/4,3a/4,0), respectively. Consider a cubical surface formed by six surfaces x=±a/2,y=±a/2,z=±a/2. The electric flux through this cubical surface is


Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to
©
A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to
©
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; It is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to :
©
A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; It is very difficult to stop. But if an aluminium plate is placed near to the coil, it stops. This is due to :
©
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A steel wire of length ‘L’ at 40°C is suspended from the ceiling and then a mass ‘m’ is hung from its free end. The wire is cooled down from 40°C to 30°C to regain its original length ‘L’. The coefficient of linear thermal expansion of the steel is 10–
5
°
C, Young’s modulus of steel is 1011N/m2 and radius of the wire is 1 mm. Assume that L >>diameter of the wire. Then the value of ‘m’ in kg is nearly
©
A steel wire of length ‘L’ at 40°C is suspended from the ceiling and then a mass ‘m’ is hung from its free end. The wire is cooled down from 40°C to 30°C to regain its original length ‘L’. The coefficient of linear thermal expansion of the steel is 10–
5
°
C, Young’s modulus of steel is 1011N/m2 and radius of the wire is 1 mm. Assume that L >>diameter of the wire. Then the value of ‘m’ in kg is nearly
©
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
On a hypotenuse of a right prism (30° – 60° – 90°) of refractive index 1.50, a drop of liquid is placed as shown in figure. Light is allowed to fall normally on the short face of the prism. In order that the ray of light may get totally reflected, the maximum value of refractive index is :


On a hypotenuse of a right prism (30° – 60° – 90°) of refractive index 1.50, a drop of liquid is placed as shown in figure. Light is allowed to fall normally on the short face of the prism. In order that the ray of light may get totally reflected, the maximum value of refractive index is :


Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A tuning fork of frequency 392 Hz, resonates with 50 cm length of a string under tension (T). If length of the string is decreased by 2%, keeping the tension constant, the number of beats heard when the string and the tuning fork made to vibrate simultaneously is :
©
A tuning fork of frequency 392 Hz, resonates with 50 cm length of a string under tension (T). If length of the string is decreased by 2%, keeping the tension constant, the number of beats heard when the string and the tuning fork made to vibrate simultaneously is :
©
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Hydrogen (H), deuterium (D), singly ionized helium (He+) and doubly ionized lithium (Li++) all have one electron around the nucleus. Consider n = 2 to n = 1 transition. The wavelengths of emitted radiations are λ1,λ2,λ3 and λ4 respectively. Then approximately :
©
Hydrogen (H), deuterium (D), singly ionized helium (He+) and doubly ionized lithium (Li++) all have one electron around the nucleus. Consider n = 2 to n = 1 transition. The wavelengths of emitted radiations are λ1,λ2,λ3 and λ4 respectively. Then approximately :
©
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The following figure depict a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated on the figure.

The simple harmonic motion of the x-projection of the radius vector of the rotating particle P can be shown as :
©
The following figure depict a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated on the figure.

The simple harmonic motion of the x-projection of the radius vector of the rotating particle P can be shown as :
©
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
There are two sources kept at distances 2λ . A large screen is perpendicular to line joining the sources. Number of maximas on the screen in this case is (λ = wavelength of light)


There are two sources kept at distances 2λ . A large screen is perpendicular to line joining the sources. Number of maximas on the screen in this case is (λ = wavelength of light)
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
In the circuit shown in figure the current through


In the circuit shown in figure the current through


©
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 Å, is of the order of
©
A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is 5000 Å, is of the order of
©
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
During vapourisation
I. change of state from liquid to vapour state occurs.
II. temperature remains constant.
III. both liquid and vapour states coexist in equilibrium.
IV. specific heat of substance increases.
Correct statements are
©
During vapourisation
I. change of state from liquid to vapour state occurs.
II. temperature remains constant.
III. both liquid and vapour states coexist in equilibrium.
IV. specific heat of substance increases.
Correct statements are
©
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A wire is connected to a battery between the point M and N as shown in the figure (1). The same wire is bent in the form of a square and then connected to the battery between the points M and N as shown in the figure (2). Which of the following quantities increases ?


A wire is connected to a battery between the point M and N as shown in the figure (1). The same wire is bent in the form of a square and then connected to the battery between the points M and N as shown in the figure (2). Which of the following quantities increases ?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r) = kr (k is a positive constant). Period of revolution of the body is proportional to :
©
A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r) = kr (k is a positive constant). Period of revolution of the body is proportional to :
©
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Two equal heavy spheres, each of radius r, are in equilibrium within a smooth cup of radius 3r. The ratio of reaction between the cup and one sphere and that between the two sphere is


Two equal heavy spheres, each of radius r, are in equilibrium within a smooth cup of radius 3r. The ratio of reaction between the cup and one sphere and that between the two sphere is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral
©
A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral
©
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A thin but rigid semicircular wire frame of radius r is hinged at O and can rotate in its own vertical plane. A smooth peg P starts from O and moves horizontally with constant speed v0, lifting the frame upward as shown in figure.

Find the angular velocity w of the frame when its diameter makes an angle of 60° with the vertical :


A thin but rigid semicircular wire frame of radius r is hinged at O and can rotate in its own vertical plane. A smooth peg P starts from O and moves horizontally with constant speed v0, lifting the frame upward as shown in figure.

Find the angular velocity w of the frame when its diameter makes an angle of 60° with the vertical :
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Given that A+B=R and A=B=R. What should be the angle between A and B ?
©
Given that A+B=R and A=B=R. What should be the angle between A and B ?
©
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The basic magnetization curve for a ferromagnetic material is shown in figure. Then, the value of relative permeability is highest for the point


The basic magnetization curve for a ferromagnetic material is shown in figure. Then, the value of relative permeability is highest for the point


Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Five gas molecules chosen at random are found to have speeds of 500, 600, 700, 800 and 900 m/s:
©
Five gas molecules chosen at random are found to have speeds of 500, 600, 700, 800 and 900 m/s:
©
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
What is equivalent capacitance of circuit between points A and B?


©
What is equivalent capacitance of circuit between points A and B?



©
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A cyclic process ABCD is shown in the figure P-V diagram. Which of the following curves represent the same process


A cyclic process ABCD is shown in the figure P-V diagram. Which of the following curves represent the same process
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
In the circuit given below, V(t) is the sinusoidal voltage source, voltage drop VAB(t) across the resistance R is


©
In the circuit given below, V(t) is the sinusoidal voltage source, voltage drop VAB(t) across the resistance R is
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Which of the following can be repeatedly soften on heating?
(i) Polystyrene
(ii) Melamine
(iii) Polyesters
(iv) Polyethylene
(v) Neoprene
©
Which of the following can be repeatedly soften on heating?
(i) Polystyrene
(ii) Melamine
(iii) Polyesters
(iv) Polyethylene
(v) Neoprene
©
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Which one of the following complexes is an outer orbital complex ?
©
Which one of the following complexes is an outer orbital complex ?
©
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
For the reaction H2(g)+Br2(g)→2HBr(g),the experimental data suggest, rate =k[H2][Br2]1∕2.
The molecularity and order of the reaction are respectively
©
For the reaction H2(g)+Br2(g)→2HBr(g),the experimental data suggest, rate =k[H2][Br2]1∕2.
The molecularity and order of the reaction are respectively
©
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Dead burn plaster is
©
Dead burn plaster is
©
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Stronger is oxidising agent, more is
©
Stronger is oxidising agent, more is
©
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
Which of the following relation represents correct relation between standard electrode potential and equilibrium constant?
I. logK=‌‌
nFE∘
2.303RT

II. K=e‌‌
−nFE∘
RT

III. log‌K=‌‌
−nFE∘
2.303RT

IV. log‌K=0.4342‌‌
nFE∘
RT

©
Which of the following relation represents correct relation between standard electrode potential and equilibrium constant?
I. logK=‌‌
nFE∘
2.303RT

II. K=e‌‌
−nFE∘
RT

III. log‌K=‌‌
−nFE∘
2.303RT

IV. log‌K=0.4342‌‌
nFE∘
RT

©
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Which of the following shows nitrogen with its increasing order of oxidation number?
©
Which of the following shows nitrogen with its increasing order of oxidation number?
©
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
Raoult’s law becomes a special case of Henry’s law when
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Raoult’s law becomes a special case of Henry’s law when
©
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
E° for the cell,
Zn|Zn2+(aq)||Cu2+(aq)|Cu
is 1.10V at 25°C.The equilibrium constant for the cell reaction
Zn+Cu2+(aq)⇌Cu+Zn2+(aq)
is of the order of
©
E° for the cell,
Zn|Zn2+(aq)||Cu2+(aq)|Cu
is 1.10V at 25°C.The equilibrium constant for the cell reaction
Zn+Cu2+(aq)⇌Cu+Zn2+(aq)
is of the order of
©
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Which of the following represents Gay Lussac's law ?
I.
P
T
= constant
II. P1T2=P2T1
III.P1V1=P2V2
Choose the correct option.
©
Which of the following represents Gay Lussac's law ?
I.
P
T
= constant
II. P1T2=P2T1
III.P1V1=P2V2
Choose the correct option.
©
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
For the reaction CO(g)+‌‌
1
2
O2(g)→CO2(g) Which one of the statement is correct at constant T and P ?
©
For the reaction CO(g)+‌‌
1
2
O2(g)→CO2(g) Which one of the statement is correct at constant T and P ?
©
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The energy of an electron in second Bohr orbit of hydrogen atom is :
©
The energy of an electron in second Bohr orbit of hydrogen atom is :
©
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Which of the following order is wrong?
©
Which of the following order is wrong?
©
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
Which of the following is not involved in the formation of photochemical smog?
©
Which of the following is not involved in the formation of photochemical smog?
©
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Which of the following is not present in Portland cement?
©
Which of the following is not present in Portland cement?
©
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Which of the following can form buffer solution?
©
Which of the following can form buffer solution?
©
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Which of the following complex shows sp3d2 hybridization?
©
Which of the following complex shows sp3d2 hybridization?
©
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Which has glycosidic linkage?
©
Which has glycosidic linkage?
©
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Which of the following represents Schotten-Baumann reaction?
©
Which of the following represents Schotten-Baumann reaction?
©
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
In the following structures, which two forms are staggered conformations of ethane ?


In the following structures, which two forms are staggered conformations of ethane ?
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
Which of the following shows correct order of bond length?
©
Which of the following shows correct order of bond length?
©
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The number of radial nodes of 3s and 2p orbitals are respectively
©
The number of radial nodes of 3s and 2p orbitals are respectively
©
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
If a 25.0 mL sample of sulfuric acid is titrated with 50.0 mL of 0.025 M sodium hydroxide to a phenolphthalein endpoint, what is the molarity of the acid?
©
If a 25.0 mL sample of sulfuric acid is titrated with 50.0 mL of 0.025 M sodium hydroxide to a phenolphthalein endpoint, what is the molarity of the acid?
©
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Find which of the following compound can have mass ratios of C:H:O as 6:1:24
©
Find which of the following compound can have mass ratios of C:H:O as 6:1:24
©
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
The number of atoms per unit cell of bcc structure is
©
The number of atoms per unit cell of bcc structure is
©
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Which of these doesn’t exist?
©
Which of these doesn’t exist?
©
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Which of these compounds are directional?
©
Which of these compounds are directional?
©
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
For a given reaction, ΔH=35.5kJmol−1 and ΔS=83.6JK−1mol−1. The reaction is spontaneous at : (Assume that DH and DS do not vary with temperature)
©
For a given reaction, ΔH=35.5kJmol−1 and ΔS=83.6JK−1mol−1. The reaction is spontaneous at : (Assume that DH and DS do not vary with temperature)
©
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
Specific conductance of 0.1 MHA is 3.75×10−4ohm=1cm−1.If λ∞(HA)=250ohm−1cm2mol−1 the dissociation constant Ka of HA is :
©
Specific conductance of 0.1 MHA is 3.75×10−4ohm=1cm−1.If λ∞(HA)=250ohm−1cm2mol−1 the dissociation constant Ka of HA is :
©
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
The rate of reaction between two reactants A and B decreases by a factor of 4 if the concentration of reactant B is doubled. The order of this reaction with respect to reactant B is:
©
The rate of reaction between two reactants A and B decreases by a factor of 4 if the concentration of reactant B is doubled. The order of this reaction with respect to reactant B is:
©
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
A compound of molecular formula of C7H16 shows optical isomerism, compound will be
©
A compound of molecular formula of C7H16 shows optical isomerism, compound will be
©
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Which of the following does not contain Plane of symmetry?
©
Which of the following does not contain Plane of symmetry?
©
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
Cadmium is used in nuclear reactors for?
©
Cadmium is used in nuclear reactors for?
©
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
Which reagent converts nitrobenzene to N-phenyl hydroxyamine?
©
Which reagent converts nitrobenzene to N-phenyl hydroxyamine?
©
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Which of the following can act as both Bronsted acid and Bronsted base?
©
Which of the following can act as both Bronsted acid and Bronsted base?
©
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Identify the structuer of water in the gaseous phase
©
Identify the structuer of water in the gaseous phase
©
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
Electrometallurgical process is used to extract
©
Electrometallurgical process is used to extract
©
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
The correct statement about the compounds A, B, and C

is
©
The correct statement about the compounds A, B, and C

is
©
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Correct formula of the complex formed in the brown ring test for nitrates is
©
Correct formula of the complex formed in the brown ring test for nitrates is
©
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Which one of the following is an amine hormone ?
©
Which one of the following is an amine hormone ?
©
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
Let f and g be functions from R to R defined as
f(x)={
7x2+x−8,x≤1
4x+5,1<x≤7
8x+3,x>7
,g(x)={
|x|,x<−3
0,−3≤x<2
x2+4,x≥2
Then
©
Let f and g be functions from R to R defined as
f(x)={
7x2+x−8,x≤1
4x+5,1<x≤7
8x+3,x>7
,g(x)={
|x|,x<−3
0,−3≤x<2
x2+4,x≥2
Then
©
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions ?
©
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions ?
©
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
If
n
∑
k=1
k(k+1)(k−1)=pn4+qn3+tn2+sn
,where p, q, t and s are constants, then the value of s is equal to
©
If
n
∑
k=1
k(k+1)(k−1)=pn4+qn3+tn2+sn
,where p, q, t and s are constants, then the value of s is equal to
©
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
©
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
©
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
If a and b are roots of the equation x2+px+‌‌
3p
4
=0,such that |α−β|=√10 then p belongs to the set :
©
If a and b are roots of the equation x2+px+‌‌
3p
4
=0,such that |α−β|=√10 then p belongs to the set :
©
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
Given the system of straight lines
a(2x+y–3)+b(3x+2y–5)=0
, the line of the system situated farthest from the point (4, –3) has the equation
©
Given the system of straight lines
a(2x+y–3)+b(3x+2y–5)=0
, the line of the system situated farthest from the point (4, –3) has the equation
©
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
One mapping is selected at random from all mappings of the set S={1,2,3,......n} into itself. The probability that it is one-one is
3
32
. Then the value of n is
©
One mapping is selected at random from all mappings of the set S={1,2,3,......n} into itself. The probability that it is one-one is
3
32
. Then the value of n is
©
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
The integer just greater than (3+√5)2n is divisible by (n∊N)
©
The integer just greater than (3+√5)2n is divisible by (n∊N)
©
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
The domain of the function
f(x)=sin−1{log2(‌‌
1
2
x2)}
is
©
The domain of the function
f(x)=sin−1{log2(‌‌
1
2
x2)}
is
©
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
The marks obtained by 60 students in a certain test are given below :

Median of the above data is
©
The marks obtained by 60 students in a certain test are given below :

Median of the above data is
©
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
If A, B, C are the angles of a triangle and eiA,eiB,eiC are in A.P. Then the triangle must be
©
If A, B, C are the angles of a triangle and eiA,eiB,eiC are in A.P. Then the triangle must be
©
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
An observer on the top of a tree, finds the angle of depression of a car moving towards the tree to be 30°. After 3 minutes this angle becomes 60°. After how much more time, the car will reach the tree?
©
An observer on the top of a tree, finds the angle of depression of a car moving towards the tree to be 30°. After 3 minutes this angle becomes 60°. After how much more time, the car will reach the tree?
©
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
After striking the floor a certain ball rebounds
4
5
th of its height from which it has fallen. The total distance that the ball travels before coming to rest if it is gently released from a height of 120m is
©
After striking the floor a certain ball rebounds
4
5
th of its height from which it has fallen. The total distance that the ball travels before coming to rest if it is gently released from a height of 120m is
©
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
An equilateral triangle is inscribed in the circle x2+y2=a2 with one of the vertices at (a, 0). What is the equation of the side opposite to this vertex ?
©
An equilateral triangle is inscribed in the circle x2+y2=a2 with one of the vertices at (a, 0). What is the equation of the side opposite to this vertex ?
©
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
The function
f(x)=x−|x−x2|,−1≤x≤1
is continuous on the interval
©
The function
f(x)=x−|x−x2|,−1≤x≤1
is continuous on the interval
©
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
If
4n
n+1
<
(2n)!
(n!)2
 then P(n) is true for
©
If
4n
n+1
<
(2n)!
(n!)2
 then P(n) is true for
©
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
If a system of equation −ax+y+z=0
x−by+z=0
x+y−cz=0(a,b,c≠−1)has a non-zero solution then
‌‌
1
1+a
+‌‌
1
1+b
+‌‌
1
1+c
=
©
If a system of equation −ax+y+z=0
x−by+z=0
x+y−cz=0(a,b,c≠−1)has a non-zero solution then
‌‌
1
1+a
+‌‌
1
1+b
+‌‌
1
1+c
=
©
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
If f(x)=xx , then f (x) is increasing in interval :
©
If f(x)=xx , then f (x) is increasing in interval :
©
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
If x is real number, then ‌‌
x
x2−5x+9
 must lie between
©
If x is real number, then ‌‌
x
x2−5x+9
 must lie between
©
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
The value of
lim
x→∞
(‌‌
a1
1
x
+a2
1
x
+.........n
1
x
n
)nx
ai>0,i=1.2.....n, is
©
The value of
lim
x→∞
(‌‌
a1
1
x
+a2
1
x
+.........n
1
x
n
)nx
ai>0,i=1.2.....n, is
©
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
The value of cot−17+cot−18+cot−118 is
©
The value of cot−17+cot−18+cot−118 is
©
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
If ∫‌‌
cosx−1
sinx+1
exdx is equal to :
©
If ∫‌‌
cosx−1
sinx+1
exdx is equal to :
©
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
A random variable X has the probability distribution

For the events E = {X is a prime number} and F{X<4},then P(E∪F) is
©
A random variable X has the probability distribution

For the events E = {X is a prime number} and F{X<4},then P(E∪F) is
©
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
The number of roots of equation cosx+cos‌2‌x+cos‌3‌x=0 is (0≤x≤2π)
©
The number of roots of equation cosx+cos‌2‌x+cos‌3‌x=0 is (0≤x≤2π)
©
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
The area under the curve y=|cosx−sinx|,0≤x≤‌‌
π
2
 and above x-axis is:
©
The area under the curve y=|cosx−sinx|,0≤x≤‌‌
π
2
 and above x-axis is:
©
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
If f(x)={
x‌log‌cosx
log(1+x2)
,		x≠0
0,x=0
 then f(x) us
©
If f(x)={
x‌log‌cosx
log(1+x2)
,		x≠0
0,x=0
 then f(x) us
©
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The maximum value of z=3x+2y subject to x+2y≥2,x+2y≤8,x,y≥0
©
The maximum value of z=3x+2y subject to x+2y≥2,x+2y≤8,x,y≥0
©
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
A cylindircal gas container is closed at the top and open at the bottom. if the iron plate of the top is
5
4
 time as thick as the plate forming the cylindrical sides. The ratio of the radius to the height of the cylinder using minimum material for the same capacity is
©
A cylindircal gas container is closed at the top and open at the bottom. if the iron plate of the top is
5
4
 time as thick as the plate forming the cylindrical sides. The ratio of the radius to the height of the cylinder using minimum material for the same capacity is
©
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Let A, B, C be finite sets. Suppose that
n(A)=10,n(B)=15,n(C)=20,n(AÇB)=8
and n(BÇC)=9. Then the possible value of n(A∪B∪C) is
©
Let A, B, C be finite sets. Suppose that
n(A)=10,n(B)=15,n(C)=20,n(AÇB)=8
and n(BÇC)=9. Then the possible value of n(A∪B∪C) is
©
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
If f(z)=
7−z
1−z2
,where z=1+2i,then |f(z)| is equal to:
©
If f(z)=
7−z
1−z2
,where z=1+2i,then |f(z)| is equal to:
©
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
If f(x)=cos−1[‌‌
1−(log‌x)2
1+(log‌x)2
] then the value of f′(e) is equal to
©
If f(x)=cos−1[‌‌
1−(log‌x)2
1+(log‌x)2
] then the value of f′(e) is equal to
©
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
Statement 1: A five digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 with repetition. The total number formed are 216.
Statement 2 :If sum of digits of any number is divisible by 3 then the number must be divisible by 3.
©
Statement 1: A five digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 with repetition. The total number formed are 216.
Statement 2 :If sum of digits of any number is divisible by 3 then the number must be divisible by 3.
©
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
The equation of one of the common tangents to the parabola y2=8x and x2+y2−12x+4=0 is
©
The equation of one of the common tangents to the parabola y2=8x and x2+y2−12x+4=0 is
©
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
If R(t)=[
costsint
−sintcost
],then R(s)R(t) equals
©
If R(t)=[
costsint
−sintcost
],then R(s)R(t) equals
©
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
If
∫x‌log(1+‌‌
1
x
)‌d‌x=f(x)‌log(x+1)+g(x)x2+Lx+C
,then
©
If
∫x‌log(1+‌‌
1
x
)‌d‌x=f(x)‌log(x+1)+g(x)x2+Lx+C
,then
©
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
Let
→
a
,
→
b
 &
→
c
 be non-coplanar unit vectors equally inclined to one another at an acute angle q. Then |[
→
a
→
b
→
c
]| in terms of q is equal to
©
Let
→
a
,
→
b
 &
→
c
 be non-coplanar unit vectors equally inclined to one another at an acute angle q. Then |[
→
a
→
b
→
c
]| in terms of q is equal to
©
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
2
1
4
⋅2
2
8
⋅2
3
16
⋅2
4
32
......∞ is equal to
©
2
1
4
⋅2
2
8
⋅2
3
16
⋅2
4
32
......∞ is equal to
©
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
If
∑
r=0
n(−1)r‌‌
nCr
r+3
Cr=‌‌
3
a+3
 then a–n is equal to
©
If
∑
r=0
n(−1)r‌‌
nCr
r+3
Cr=‌‌
3
a+3
 then a–n is equal to
©
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
If |
pq−yr−z
p−xqr−z
p−xq−yr
|=0 then the value of ‌‌
p
x
+‌‌
q
y
+‌‌
r
z
 is
©
If |
pq−yr−z
p−xqr−z
p−xq−yr
|=0 then the value of ‌‌
p
x
+‌‌
q
y
+‌‌
r
z
 is
©
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is
©
An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is
©
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
The ratio in which the join of (2,1,5) and (3, 4, 3) is dividedby the plane (x+y–z)=
1
2
 is:
©
The ratio in which the join of (2,1,5) and (3, 4, 3) is dividedby the plane (x+y–z)=
1
2
 is:
©
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
Value of
π
2
∫
0
‌‌
√sinx
√sinx+√cosx
dx is
©
Value of
π
2
∫
0
‌‌
√sinx
√sinx+√cosx
dx is
©
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
The dot product of a vector with the vectors
⋀
i
+
⋀
j
−3
⋀
k
,
⋀
i
+3
⋀
j
−2
⋀
k
 and 2
⋀
i
+
⋀
j
+4
⋀
k
 are 0,5 and 8 respectively. The vector is
©
The dot product of a vector with the vectors
⋀
i
+
⋀
j
−3
⋀
k
,
⋀
i
+3
⋀
j
−2
⋀
k
 and 2
⋀
i
+
⋀
j
+4
⋀
k
 are 0,5 and 8 respectively. The vector is
©
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
The angle between the lines whose intercepts on the axes are a, –b and b, –a respectively , is
©
The angle between the lines whose intercepts on the axes are a, –b and b, –a respectively , is
©
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
If the line through the points A(k,1,–1) and B(2k,0,2) is perpendicular to the line through the points B and C(2+2k,k,1), then what is the value of k?
©
If the line through the points A(k,1,–1) and B(2k,0,2) is perpendicular to the line through the points B and C(2+2k,k,1), then what is the value of k?
©
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
Loquacious
©
Loquacious
©
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
Meticulous
©
Meticulous
©
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
To write well, a person must train himself in
©
To write well, a person must train himself in
©
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
Initially it is difficult to write because
©
Initially it is difficult to write because
©
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
According to the passage, writing style can be improved by
©
According to the passage, writing style can be improved by
©
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
Famous writers have achieved success by
©
Famous writers have achieved success by
©
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
China is a big country, in area it is bigger than any other country _________ Russia.
©
China is a big country, in area it is bigger than any other country _________ Russia.
©
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
The treasure was hidden ______ a big shore.
©
The treasure was hidden ______ a big shore.
©
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
My father gave me
(a)
‌
a pair of binocular
(b)
‌
on my birthday.
(c)
‌
No error
(d

©
My father gave me
(a)
‌
a pair of binocular
(b)
‌
on my birthday.
(c)
‌
No error
(d

©
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
The teacher as well as his students,
(a)
‌
all left
(b)
‌
for the trip.
(c)
‌
No error.
(d)

©
The teacher as well as his students,
(a)
‌
all left
(b)
‌
for the trip.
(c)
‌
No error.
(d)

©
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
Which answer figure complete the form in question figure ?



©
Which answer figure complete the form in question figure ?


©
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt

©

©
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
Which answer figure includes all the components given in the question figure ?


©
Which answer figure includes all the components given in the question figure ?



©
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
Which of the answer figures include the separate components found in the question figure?



©
Which of the answer figures include the separate components found in the question figure?



©
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt

©

©
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
M is the son of P. Q is the grand daughter of O who is the husband of P. How is M related to O?
©
M is the son of P. Q is the grand daughter of O who is the husband of P. How is M related to O?
©
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
Vinod introduces Vishal as the son of the only brother of his father's wife. How is Vinod related to Vishal?
©
Vinod introduces Vishal as the son of the only brother of his father's wife. How is Vinod related to Vishal?
©
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
AGMSY, CIOUA, EKQWC, ? IOUAG, KQWCI
©
AGMSY, CIOUA, EKQWC, ? IOUAG, KQWCI
©
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
(?), PSVYB, EHKNQ, TWZCF, ILORU
©
(?), PSVYB, EHKNQ, TWZCF, ILORU
©
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
Statements :Politicians become rich by the votes of the people.
Assumptions :
I. People vote to make politicians rich.
II. Politicians become rich by their virtue.
©
Statements :Politicians become rich by the votes of the people.
Assumptions :
I. People vote to make politicians rich.
II. Politicians become rich by their virtue.
©
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
Two statements are given followed by four conclusions, I, II, III and IV. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions can definitely be drawn from the given statements. Indicate your answer.

Statements :
(A) No cow is a chair
(B) All chairs are tables.

Conclusions :
I. Some tables are chairs.
II. Some tables are cows
III. Some chairs are cows
IV. No table is a cow
©
Two statements are given followed by four conclusions, I, II, III and IV. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions can definitely be drawn from the given statements. Indicate your answer.

Statements :
(A) No cow is a chair
(B) All chairs are tables.

Conclusions :
I. Some tables are chairs.
II. Some tables are cows
III. Some chairs are cows
IV. No table is a cow
©
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
Statements :
1. Temple is a place of worship.
2. Church is also a place of worship.
Conclusions :
I. Hindus and Christians use the same place for worship.
II. All churches are temples
©
Statements :
1. Temple is a place of worship.
2. Church is also a place of worship.
Conclusions :
I. Hindus and Christians use the same place for worship.
II. All churches are temples
©
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
Statement :
The human organism grows and develops through stimulation and action.
Conclusions :
I. Inert human organism cannot grow and develop.
II. Human organisms do not react to stimulation and action.
©
Statement :
The human organism grows and develops through stimulation and action.
Conclusions :
I. Inert human organism cannot grow and develop.
II. Human organisms do not react to stimulation and action.
©
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
Choose the set of figure which follows the given rule.

Rule: Closed figures gradually become open and open figures gradually become closed.


©
Choose the set of figure which follows the given rule.

Rule: Closed figures gradually become open and open figures gradually become closed.


©
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