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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
A ray of light enters from a rarer to a denser medium. The angle of incidence is i. Then, the reflected and refracted rays are mutually perpendicular to each other. The critical angle for the pair of media is
A ray of light enters from a rarer to a denser medium. The angle of incidence is i. Then, the reflected and refracted rays are mutually perpendicular to each other. The critical angle for the pair of media is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
A fish in water (refractive index n ) looks at a bird vertically above in the air. If y is the height of the bird and x is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is
A fish in water (refractive index n ) looks at a bird vertically above in the air. If y is the height of the bird and x is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Figure shows a mixture of blue, green and red coloured rays incident normally on a right angled prism. The critical angles of the material of the prism for red, green and blue are 46∘,44∘ and 43∘, respectively. The arrangement will separate
Figure shows a mixture of blue, green and red coloured rays incident normally on a right angled prism. The critical angles of the material of the prism for red, green and blue are 46∘,44∘ and 43∘, respectively. The arrangement will separate
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A convex and a concave lens separated by distance d are then put in contact. The focal length of the combination
A convex and a concave lens separated by distance d are then put in contact. The focal length of the combination
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
A convex lens is made of 3 layers of glass of 3 different materials as in the figure. A point object is placed on its axis. The number of images of the object are
A convex lens is made of 3 layers of glass of 3 different materials as in the figure. A point object is placed on its axis. The number of images of the object are
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
If µ0 is permeability of free space and ε0 is permittivity of free space, then the speed of light in vacuum is given by
If µ0 is permeability of free space and ε0 is permittivity of free space, then the speed of light in vacuum is given by
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
In Young's double slit experiment, a third slit is made in between the double slits. Then,
In Young's double slit experiment, a third slit is made in between the double slits. Then,
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The maximum number of possible interference maxima when slit separation is equal to 4 times the wavelength of light used in a double slit experiment is
The maximum number of possible interference maxima when slit separation is equal to 4 times the wavelength of light used in a double slit experiment is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
In a Fraunhofer diffraction experiment at a single slit using a light of wavelength 400‌nm, the first minimum is formed at an angle of 30∘. The direction θ of the first secondary maximum is given by
In a Fraunhofer diffraction experiment at a single slit using a light of wavelength 400‌nm, the first minimum is formed at an angle of 30∘. The direction θ of the first secondary maximum is given by
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Maximum diffraction takes place in a given slit for
Maximum diffraction takes place in a given slit for
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
An unpolarised beam of intensity I0 falls on a polaroid. The intensity of the emergent light is
An unpolarised beam of intensity I0 falls on a polaroid. The intensity of the emergent light is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Which of the following is a dichroic crystal?
Which of the following is a dichroic crystal?
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Two identical metal spheres charged with +12µF and −8µF are kept at certain distance in air. They are brought into contact and then kept at the same distance. The ratio of the magnitudes of electrostatic forces between them before and after contact is
Two identical metal spheres charged with +12µF and −8µF are kept at certain distance in air. They are brought into contact and then kept at the same distance. The ratio of the magnitudes of electrostatic forces between them before and after contact is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A small conducting sphere of radius r is lying concentrically inside a bigger hollow conducting sphere of radius R. The bigger and smaller spheres are charged with Q and q(Q>q) and are insulated from each other. The potential difference between the spheres will be
A small conducting sphere of radius r is lying concentrically inside a bigger hollow conducting sphere of radius R. The bigger and smaller spheres are charged with Q and q(Q>q) and are insulated from each other. The potential difference between the spheres will be
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
The charges Q,+q and +q are placed at the vertices of an equilateral triangle of side l. If the net electrostatic potential energy of the system is zero, then Q is equal to
The charges Q,+q and +q are placed at the vertices of an equilateral triangle of side l. If the net electrostatic potential energy of the system is zero, then Q is equal to
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
How many 6µF,200V condensers are needed to make a condenser of 18µF,600V ?
How many 6µF,200V condensers are needed to make a condenser of 18µF,600V ?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The total energy stored in the condenser system shown in the figure will be
The total energy stored in the condenser system shown in the figure will be
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A metal wire is subjected to a constant potential difference. When the temperature of the metal wire increases, the drift velocity of the electron in it
A metal wire is subjected to a constant potential difference. When the temperature of the metal wire increases, the drift velocity of the electron in it
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The equivalent resistance between the points A and B will be (each resistance is 15Ω )
The equivalent resistance between the points A and B will be (each resistance is 15Ω )
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The terminals of a 18V battery with an internal resistance of 1.5Ω are connected to a circular wire of resistance 24Ω at two points distant at one quarter of the circumference of a circular wire. The current through the bigger arc of the circle will be
The terminals of a 18V battery with an internal resistance of 1.5Ω are connected to a circular wire of resistance 24Ω at two points distant at one quarter of the circumference of a circular wire. The current through the bigger arc of the circle will be
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The potential difference between A and B in the following figure is
The potential difference between A and B in the following figure is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
The magnetic field at the centre of a circular current carrying conductor of radius r is Bc. The magnetic field on its axis at a distance r from the centre is Ba. The value of Bc:Ba will be
The magnetic field at the centre of a circular current carrying conductor of radius r is Bc. The magnetic field on its axis at a distance r from the centre is Ba. The value of Bc:Ba will be
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Current I is flowing in a conductor shaped as shown in the figure. The radius of the curved part is r and the length of straight portion is very large. The value of the magnetic field at the centre O will be
Current I is flowing in a conductor shaped as shown in the figure. The radius of the curved part is r and the length of straight portion is very large. The value of the magnetic field at the centre O will be
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Two tangent galvanometers A and B are identical except in their number of turns. They are connected in series. On passing a current through them, deflections of 60∘ and 30∘ are produced. The ratio of the number of turns in A and B is
Two tangent galvanometers A and B are identical except in their number of turns. They are connected in series. On passing a current through them, deflections of 60∘ and 30∘ are produced. The ratio of the number of turns in A and B is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The resultant force on the current loop PQRS due to a long current carrying conductor will be
The resultant force on the current loop PQRS due to a long current carrying conductor will be
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A certain current on passing through a galvanometer produces a deflection of 100 divisions. When a shunt of one ohm is connected, then the deflection reduces to 1 division. The galvanometer resistance is
A certain current on passing through a galvanometer produces a deflection of 100 divisions. When a shunt of one ohm is connected, then the deflection reduces to 1 division. The galvanometer resistance is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Two similar circular loops carry equal currents in the same direction. On moving the coils further apart, the electric current will
Two similar circular loops carry equal currents in the same direction. On moving the coils further apart, the electric current will
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The value of alternating emf E in the given circuit will be
The value of alternating emf E in the given circuit will be
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A current of 5A is flowing at 220V in the primary coil of a transformer. If the voltage produced in the secondary coil is 2200V and 50% of power is lost, then the current in the secondary will be
A current of 5A is flowing at 220V in the primary coil of a transformer. If the voltage produced in the secondary coil is 2200V and 50% of power is lost, then the current in the secondary will be
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
For a series L−C−R circuit at resonance, the statement which is not true?
For a series L−C−R circuit at resonance, the statement which is not true?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Solar spectrum is an example for
Solar spectrum is an example for
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
When a piece of metal is illuminated by a monochromatic light of wavelength λ, then stopping potential is 3V-s. When same surface is illuminated by light of wavelength 2λ, then stopping potential becomes Vs. The value of threshold wavelength for photoelectric emission will be
When a piece of metal is illuminated by a monochromatic light of wavelength λ, then stopping potential is 3V-s. When same surface is illuminated by light of wavelength 2λ, then stopping potential becomes Vs. The value of threshold wavelength for photoelectric emission will be
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
The maximum kinetic energy of emitted electrons in a photoelectric effect does not depend upon
The maximum kinetic energy of emitted electrons in a photoelectric effect does not depend upon
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The ratio of minimum wavelength of Lyman and Balmer series will be
The ratio of minimum wavelength of Lyman and Balmer series will be
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Hydrogen atom does not emit X-rays because
Hydrogen atom does not emit X-rays because
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is
If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Two protons are kept at a separation of 40Å.Fn is the nuclear force and Fe is the electrostatic force between them. Then,
Two protons are kept at a separation of 40Å.Fn is the nuclear force and Fe is the electrostatic force between them. Then,
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Blue colour of sea water is due to
Blue colour of sea water is due to
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The ratio of the nuclear radii of elements with mass numbers 216 and 125 is
The ratio of the nuclear radii of elements with mass numbers 216 and 125 is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
On bombarding U235 by slow neutron, 200‌MeV energy is released. If the power output of atomic reactor is 1.6‌MW, then the rate of fission will be
On bombarding U235 by slow neutron, 200‌MeV energy is released. If the power output of atomic reactor is 1.6‌MW, then the rate of fission will be
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The masses of two radioactive substances are same and their half-lives are 1 year and 2 years, respectively. The ratio of their activities after 6 years will be
The masses of two radioactive substances are same and their half-lives are 1 year and 2 years, respectively. The ratio of their activities after 6 years will be
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
‌92U235 undergoes successive disintegrations with the end product of ‌82Pb203. The number of α and β particles emitted are
‌92U235 undergoes successive disintegrations with the end product of ‌82Pb203. The number of α and β particles emitted are
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
The most stable particle in Baryon group is
The most stable particle in Baryon group is
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
In an unbiased p−n junction
a.
In an unbiased p−n junction
a.
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
To get an output Y=1 from the circuit shown, the inputs A,B and C must be respectively
To get an output Y=1 from the circuit shown, the inputs A,B and C must be respectively
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
Dimensional formula for the universal gravitational constant G is
Dimensional formula for the universal gravitational constant G is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A body is projected vertically upwards. The times corresponding to height h, while ascending and descending are t1 and t2, respectively. Then, the velocity of projection is ( g is acceleration due to gravity)
A body is projected vertically upwards. The times corresponding to height h, while ascending and descending are t1 and t2, respectively. Then, the velocity of projection is ( g is acceleration due to gravity)
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A mass of 10‌kg is suspended from a spring balance. It is pulled a side by a horizontal string, so that it makes an angle of 60∘ with the vertical. The new reading of the balance is
A mass of 10‌kg is suspended from a spring balance. It is pulled a side by a horizontal string, so that it makes an angle of 60∘ with the vertical. The new reading of the balance is
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
A body weight 50g in air and 40g in water. How much would it weight in a liquid of specific gravity 1.5 ?
A body weight 50g in air and 40g in water. How much would it weight in a liquid of specific gravity 1.5 ?
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A body of mass 4‌kg is accelerated upon by a constant force, travels a distance of 5m in the 1 st second and a distance of 2m in the 3‌rd second. The force acting on the body is
A body of mass 4‌kg is accelerated upon by a constant force, travels a distance of 5m in the 1 st second and a distance of 2m in the 3‌rd second. The force acting on the body is
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to T∕2 ?
( g is acceleration due to gravity)
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to T∕2 ?
( g is acceleration due to gravity)
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
If γ is the ratio of specific heats and R is the universal gas constant, then the molar specific heat at constant volume CV is given by
If γ is the ratio of specific heats and R is the universal gas constant, then the molar specific heat at constant volume CV is given by
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
An ideal gas is taken via path ABCA as shown in figure.

The network done in the whole cycle is
An ideal gas is taken via path ABCA as shown in figure.

The network done in the whole cycle is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
In which of the processes, does the internal energy of the system remain constant?
In which of the processes, does the internal energy of the system remain constant?
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The equation of a simple harmonic wave is given by y=6sin‌2π(2t−0.1x), where x and y are in mm and t is in seconds. The phase difference between two particles 2‌mm apart at any instant is
The equation of a simple harmonic wave is given by y=6sin‌2π(2t−0.1x), where x and y are in mm and t is in seconds. The phase difference between two particles 2‌mm apart at any instant is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
With what velocity should an observer approach a stationary sound source, so that the apparent frequency of sound should appear double the actual frequency? ( v is velocity of sound).
With what velocity should an observer approach a stationary sound source, so that the apparent frequency of sound should appear double the actual frequency? ( v is velocity of sound).
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
If a black body emits 0.5J of energy per second when it is at 27∘C, then the amount of energy emitted by it when it is at 627∘C will be
If a black body emits 0.5J of energy per second when it is at 27∘C, then the amount of energy emitted by it when it is at 627∘C will be
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
A string vibrates with a frequency of 200‌Hz. When its length is doubled and tension is altered, it begins to vibrate with a frequency of 300‌Hz. The ratio of the new tension to the original tension is
A string vibrates with a frequency of 200‌Hz. When its length is doubled and tension is altered, it begins to vibrate with a frequency of 300‌Hz. The ratio of the new tension to the original tension is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
How many times more intense is a 60‌dB sound than a 30‌dB sound?
How many times more intense is a 60‌dB sound than a 30‌dB sound?
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
Which of the following is not an ore of magnesium?
Which of the following is not an ore of magnesium?
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The atomic numbers of Ni and Cu are 28 and 29 respectively. The electron configuration 1s22s22p63s23p63d10 represents
The atomic numbers of Ni and Cu are 28 and 29 respectively. The electron configuration 1s22s22p63s23p63d10 represents
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
In the following, the element with the highest ionisation energy is
In the following, the element with the highest ionisation energy is
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
In the conversion of Br2 to BrO3−, the oxidation number of Br changes from
In the conversion of Br2 to BrO3−, the oxidation number of Br changes from
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Among the alkali metals caesium is the most reactive because
Among the alkali metals caesium is the most reactive because
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Which of the following represents the Lewis structure of molecule?
Which of the following represents the Lewis structure of molecule?
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Hydrogen bond is strongest in
Hydrogen bond is strongest in
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
The decomposition of a certain mass of CaCO3 gave 11.2dm3 of CO2 gas at STP. The mass of KOH required to completely neutralise the gas is
The decomposition of a certain mass of CaCO3 gave 11.2dm3 of CO2 gas at STP. The mass of KOH required to completely neutralise the gas is
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The density of a gas is 1.964gdm−3 at 273K and 76‌cm‌Hg. The gas is
The density of a gas is 1.964gdm−3 at 273K and 76‌cm‌Hg. The gas is
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
0.06 mole of KNO3 solid is added to 100cm3 of water at 298K. The enthalpy of KNO3(aq) solution is 35.8‌kJ‌mol−1. After the solute is dissolved the temperature of the solution will be
0.06 mole of KNO3 solid is added to 100cm3 of water at 298K. The enthalpy of KNO3(aq) solution is 35.8‌kJ‌mol−1. After the solute is dissolved the temperature of the solution will be
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
4 moles each of SO2 and O2 gases are allowed to react to form SO3 in a closed vessel. At equilibrium 25% of O2 is used up. The total number of moles of all the gases present at equilibrium is
4 moles each of SO2 and O2 gases are allowed to react to form SO3 in a closed vessel. At equilibrium 25% of O2 is used up. The total number of moles of all the gases present at equilibrium is
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
An example for auto-catalysis is
An example for auto-catalysis is
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
During the fusion of an organic compound with sodium metal, nitrogen of the compound is converted into
During the fusion of an organic compound with sodium metal, nitrogen of the compound is converted into
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
Identify the product Y in the following reaction sequence
Identify the product Y in the following reaction sequence
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
The reaction C2H5‌ONa+C2H5I→ C2H5OC2H5+NaI is known as
The reaction C2H5‌ONa+C2H5I→ C2H5OC2H5+NaI is known as
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
∆G∘ vs T plot in the Ellingham's diagram, slopes downwards for the reaction
∆G∘ vs T plot in the Ellingham's diagram, slopes downwards for the reaction
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
Which of the following reaction taking place in the blast furnace is endothermic?
Which of the following reaction taking place in the blast furnace is endothermic?
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Liquor ammonia bottles are opened only after cooling. This is because
Liquor ammonia bottles are opened only after cooling. This is because
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
The formation of O2+[PtF6]−is basis for the formation of xenon fluorides. This is because
The formation of O2+[PtF6]−is basis for the formation of xenon fluorides. This is because
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
The highest magnetic moment is shown by the transition metal ion with the configuration
The highest magnetic moment is shown by the transition metal ion with the configuration
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A transition metal ion exists in its highest oxidation state. It is expected to behave as
A transition metal ion exists in its highest oxidation state. It is expected to behave as
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
In which of the following complex ion, the central metal ion is in a state of sp3d2 hybridisation?
In which of the following complex ion, the central metal ion is in a state of sp3d2 hybridisation?
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
Which of the following can participate in linkage isomerism?
Which of the following can participate in linkage isomerism?
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
Which of the following has the highest bond order?
Which of the following has the highest bond order?
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
Which of the following is diamagnetic?
Which of the following is diamagnetic?
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
The concentration of a reactant X decreases from 0.1M to 0.025M in 40‌min. If the reaction follows I order kinetics, the rate of the reaction when the concentration of X is 0.01M will be
The concentration of a reactant X decreases from 0.1M to 0.025M in 40‌min. If the reaction follows I order kinetics, the rate of the reaction when the concentration of X is 0.01M will be
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
Chemical reactions with very high Ea values are generally
Chemical reactions with very high Ea values are generally
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Which of the following does not conduct electricity?
Which of the following does not conduct electricity?
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
When a quantity of electricity is passed through CuSO4 solution, 0.16g of copper gets deposited. If the same quantity of electricity is passed through acidulated water, then the volume of H2 liberated at STP will be [Given, atomic weight of Cu=64 ]
When a quantity of electricity is passed through CuSO4 solution, 0.16g of copper gets deposited. If the same quantity of electricity is passed through acidulated water, then the volume of H2 liberated at STP will be [Given, atomic weight of Cu=64 ]
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
Solubility product of a salt AB is 1×10−8M2 in a solution in which the concentration of A+ions is 10−3M. The salt will precipitate when the concentration of B−ions is kept
Solubility product of a salt AB is 1×10−8M2 in a solution in which the concentration of A+ions is 10−3M. The salt will precipitate when the concentration of B−ions is kept
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Which one of the following condition will increase the voltage of the cell represented by the equation.
Cu(s)+2Ag+(aq)⇌Cu2+(aq)+2‌Ag(s)
Which one of the following condition will increase the voltage of the cell represented by the equation.
Cu(s)+2Ag+(aq)⇌Cu2+(aq)+2‌Ag(s)
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
The pH of 10−8M‌HCl solution is
The pH of 10−8M‌HCl solution is
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
The mass of glucose that should be dissolved in 50g of water in order to produce the same lowering of vapour pressure as is produced by dissolving 1g of urea in the same quantity of water is
The mass of glucose that should be dissolved in 50g of water in order to produce the same lowering of vapour pressure as is produced by dissolving 1g of urea in the same quantity of water is
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
Osmotic pressure observed when benzoic acid is dissolved in benzene is less than that expected from theoretical considerations. This is because
Osmotic pressure observed when benzoic acid is dissolved in benzene is less than that expected from theoretical considerations. This is because
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
For a reaction to be spontaneous at all temperatures
For a reaction to be spontaneous at all temperatures
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
Which of the following electrolyte will have maximum flocculation value for Fe(OH)3 sol.?
Which of the following electrolyte will have maximum flocculation value for Fe(OH)3 sol.?
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
For a reversible reaction,
X(g)+3Y(g)⇌2Z(g)
∆H=−40‌kJ the standard entropies of X,Y and Z are 60,40 and 50JK−1mol−1 respectively.
The temperature at which the above reaction attains equilibrium is about
For a reversible reaction,
X(g)+3Y(g)⇌2Z(g)
∆H=−40‌kJ the standard entropies of X,Y and Z are 60,40 and 50JK−1mol−1 respectively.
The temperature at which the above reaction attains equilibrium is about
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
The radii of Na+and Cl−ions are 95‌pm and 181‌pm respectively. The edge length of NaCl unit cell is
The radii of Na+and Cl−ions are 95‌pm and 181‌pm respectively. The edge length of NaCl unit cell is
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Inductive effect involves
Inductive effect involves
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
The basicity of aniline is less than that of cyclohexylamine. This is due to
The basicity of aniline is less than that of cyclohexylamine. This is due to
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Methyl bromide is converted into ethane by heating it in ether medium with
Methyl bromide is converted into ethane by heating it in ether medium with
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Which of the following compound is expected to be optically active?
Which of the following compound is expected to be optically active?
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
Which cycloalkane has the lowest heat of combustion per CH2 group?
Which cycloalkane has the lowest heat of combustion per CH2 group?
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
The catalyst used in the preparation of an alkyl chloride by the action of dry HCl on an alcohol is
The catalyst used in the preparation of an alkyl chloride by the action of dry HCl on an alcohol is
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
In the reaction, R−X‌
‌ Alcoholic ‌
───────▶
KCN
A‌
‌ Dilute ‌
───────▶
HCl
B, the product B is
In the reaction, R−X‌
‌ Alcoholic ‌
───────▶
KCN
A‌
‌ Dilute ‌
───────▶
HCl
B, the product B is
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
Which of the following compound would not evolve CO2 when treated with NaHCO3 solution?
Which of the following compound would not evolve CO2 when treated with NaHCO3 solution?
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
By heating phenol, with chloroform in alkali, it is converted into
By heating phenol, with chloroform in alkali, it is converted into
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
When a mixture of calcium benzoate and calcium acetate is dry distilled, the resulting compound is
When a mixture of calcium benzoate and calcium acetate is dry distilled, the resulting compound is
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Which of the following does not give benzoic acid on hydrolysis?
Which of the following does not give benzoic acid on hydrolysis?
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
Which of the following would undergo Hofmann reaction to give a primary amine?
Which of the following would undergo Hofmann reaction to give a primary amine?
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Glucose contains in addition to aldehyde group
Glucose contains in addition to aldehyde group
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
A distinctive and characteristic functional group of fats is
A distinctive and characteristic functional group of fats is
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
At pH=4 glycine exists as
At pH=4 glycine exists as
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
Insulin regulates the metabolism of
Insulin regulates the metabolism of
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
The formula mass of Mohr's salt is 392g. The iron present in it is oxidised by KMnO4 in acid medium. The equivalent mass of Mohr's salt is
The formula mass of Mohr's salt is 392g. The iron present in it is oxidised by KMnO4 in acid medium. The equivalent mass of Mohr's salt is
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
The brown ring test for nitrates depends on
The brown ring test for nitrates depends on
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Acrolein test is positive for
Acrolein test is positive for
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
An organic compound which produces a bluish green coloured flame on heating in presence of copper is
An organic compound which produces a bluish green coloured flame on heating in presence of copper is
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
For a reaction, A+B→C+D, If the concentration of A is doubled without altering the concentration of B, the rate gets doubled. If the concentration of B is increased by nine times without altering the concentration of A, the rate gets tripled. The order of the reaction is
For a reaction, A+B→C+D, If the concentration of A is doubled without altering the concentration of B, the rate gets doubled. If the concentration of B is increased by nine times without altering the concentration of A, the rate gets tripled. The order of the reaction is
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
Which of the following solutions will exhibit highest boiling point?
Which of the following solutions will exhibit highest boiling point?
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
If u=a−b,v=a+b, and |a|=|b|=2, then |u×v| is
If u=a−b,v=a+b, and |a|=|b|=2, then |u×v| is
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
The volume of the tetrahedron formed by the points (1,1,1),(2,1,3)(3,2,2) and (3,3,4) in cubic units is
The volume of the tetrahedron formed by the points (1,1,1),(2,1,3)(3,2,2) and (3,3,4) in cubic units is
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
Unit vector perpendicular to
^
i
−2
^
j
+2
^
k
 and lying in the plane containing
^
i
+
^
j
−2
^
k
 and −
^
i
+2
^
j
+
^
k
 is
Unit vector perpendicular to
^
i
−2
^
j
+2
^
k
 and lying in the plane containing
^
i
+
^
j
−2
^
k
 and −
^
i
+2
^
j
+
^
k
 is
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
In the group Q−{1} under the binary operation * defined by a*b=a+b+ab the inverse of 10 is
In the group Q−{1} under the binary operation * defined by a*b=a+b+ab the inverse of 10 is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
In the group {1,2,3,4,5,6} under multiplication mod 7,2−1X74=
In the group {1,2,3,4,5,6} under multiplication mod 7,2−1X74=
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
The group (Z,+) has
The group (Z,+) has
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
If 3x≡5(mod‌7), then
If 3x≡5(mod‌7), then
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
The argument of the complex number sin‌(‌
6π
5
)+i(1+cos‌
6π
5
) is
The argument of the complex number sin‌(‌
6π
5
)+i(1+cos‌
6π
5
) is
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
The maximum value of n<101, such that 1+
n
∑
k−1
ik=0 is
The maximum value of n<101, such that 1+
n
∑
k−1
ik=0 is
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
The value of (−1+√−3)62+(−1−√−3)62 is
The value of (−1+√−3)62+(−1−√−3)62 is
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
All complex number z which satisfy the equation |‌
z−6i
z+6i
|=1 lie on the
All complex number z which satisfy the equation |‌
z−6i
z+6i
|=1 lie on the
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
The value of sin‌[cot−{cos(tan−1x)}] is
The value of sin‌[cot−{cos(tan−1x)}] is
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
The value of α(≠0) for which the function f(x)=1+αx is the inverse of itself is
The value of α(≠0) for which the function f(x)=1+αx is the inverse of itself is
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
If x occurs is the expansion of (x+‌
1
x
)n, then its coefficient is
If x occurs is the expansion of (x+‌
1
x
)n, then its coefficient is
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
If tan‌A−tan‌B=x and cot‌B−cot‌A=y, then cot(A−B)=
If tan‌A−tan‌B=x and cot‌B−cot‌A=y, then cot(A−B)=
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
cos2‌
π
12
+cos2‌
π
4
+cos2‌
5π
12
=
cos2‌
π
12
+cos2‌
π
4
+cos2‌
5π
12
=
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
If sin‌θ,cos‌θ and tan‌θ are in GP, then cot6θ−cot2θ is
If sin‌θ,cos‌θ and tan‌θ are in GP, then cot6θ−cot2θ is
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
If ‌
3x2−2x+4
(x−1)6
=‌
A1
x+1
+‌
A2
(x+1)2
+‌
A3
(x+1)3
 +‌
A4
(x+1)4
+‌
A5
(x+1)5
+‌
A6
(x+1)6
, then (A1+A2+A2−A4−A6)=
If ‌
3x2−2x+4
(x−1)6
=‌
A1
x+1
+‌
A2
(x+1)2
+‌
A3
(x+1)3
 +‌
A4
(x+1)4
+‌
A5
(x+1)5
+‌
A6
(x+1)6
, then (A1+A2+A2−A4−A6)=
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
If log2(2x−1+6)+log2(4x−1)=5, then x=
If log2(2x−1+6)+log2(4x−1)=5, then x=
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
If a,b,c, and d are the roots of the equation x4+2x3+3x2+4x+5=0, then 1+a2+b2+c2+d2 is equal to
If a,b,c, and d are the roots of the equation x4+2x3+3x2+4x+5=0, then 1+a2+b2+c2+d2 is equal to
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
If c0,c1,c2,...,cn are binomial coefficients of order n, then the value of ‌
c1
2
+‌
c2
4
+‌
c3
6
+...
If c0,c1,c2,...,cn are binomial coefficients of order n, then the value of ‌
c1
2
+‌
c2
4
+‌
c3
6
+...
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
The value of (0.2)log√5(‌
1
4
+‌
1
8
+‌
1
16
+...∞) is
The value of (0.2)log√5(‌
1
4
+‌
1
8
+‌
1
16
+...∞) is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
If n(A)=n(B)=m, then the number of possible bijection from A to B is
If n(A)=n(B)=m, then the number of possible bijection from A to B is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
sin‌−1[x√1−x−√x√1−x2]=
sin‌−1[x√1−x−√x√1−x2]=
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
If tan‌θ+tan‌4‌θ+tan‌7‌θ=tan‌θ‌tan‌4‌θ‌tan‌7‌θ, then the general solution is
If tan‌θ+tan‌4‌θ+tan‌7‌θ=tan‌θ‌tan‌4‌θ‌tan‌7‌θ, then the general solution is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
If a circle with the point (−1,1) as its center touches the straight line x+2y+9=0, then the coordinates of the points of contact is
If a circle with the point (−1,1) as its center touches the straight line x+2y+9=0, then the coordinates of the points of contact is
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
If the circles x2+y2+2gx+2fy=0 and x2+y2+2g′x+2f′y=0 touch each other, then
If the circles x2+y2+2gx+2fy=0 and x2+y2+2g′x+2f′y=0 touch each other, then
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
-The number of common tangents to the circles x2+y2=4 and x2+y2−4x+2y−4=0 is
-The number of common tangents to the circles x2+y2=4 and x2+y2−4x+2y−4=0 is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
.The length of the tangent drawn from any point on the circle x2+y2−4x+6y−4=0 to the circle x2+y2−4x+6y=0 is
.The length of the tangent drawn from any point on the circle x2+y2−4x+6y−4=0 to the circle x2+y2−4x+6y=0 is
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
IIf the foci of the ellipse ‌
x2
25
+‌
y2
b2
=1 and the hyperbola ‌
x2
144
−‌
y2
81
=‌
1
25
 coincide, then the value of b2 is
IIf the foci of the ellipse ‌
x2
25
+‌
y2
b2
=1 and the hyperbola ‌
x2
144
−‌
y2
81
=‌
1
25
 coincide, then the value of b2 is
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
The latusrectum of the ellipse is half the minor axis. Then, its eccentricity is
The latusrectum of the ellipse is half the minor axis. Then, its eccentricity is
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
The ends of the latusrectum of the parabola x2+10x−16y+25=0 are
The ends of the latusrectum of the parabola x2+10x−16y+25=0 are
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
Which of the following functions is differentiable at x=0 ?
Which of the following functions is differentiable at x=0 ?
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
If x=a(cos‌t+log‌tan‌
t
2
),y=asin‌t, then ‌
dy
dx
=
If x=a(cos‌t+log‌tan‌
t
2
),y=asin‌t, then ‌
dy
dx
=
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
‌ If ‌[
1−tan‌θ
tan‌θ1
][
1tan‌θ
−tan‌θ1
]=[
a−b
ba
]‌, ‌
then
‌ If ‌[
1−tan‌θ
tan‌θ1
][
1tan‌θ
−tan‌θ1
]=[
a−b
ba
]‌, ‌
then
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
If A=[
12
01
], then An is
If A=[
12
01
], then An is
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
If α,β,γ are the roots of the equation x3+px+q=0, then the value of the determinant‌|
αβγ
βγα
γαβ
| is
If α,β,γ are the roots of the equation x3+px+q=0, then the value of the determinant‌|
αβγ
βγα
γαβ
| is
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
The number of distinct real roots of |
sin‌xcos‌xcos‌x
cos‌xsin‌xcos‌x
cos‌xcos‌xsin‌x
| in the interval [‌
−π
4
,‌
π
4
] is
The number of distinct real roots of |
sin‌xcos‌xcos‌x
cos‌xsin‌xcos‌x
cos‌xcos‌xsin‌x
| in the interval [‌
−π
4
,‌
π
4
] is
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
The sum of non-prime positive divisors of 450 is
The sum of non-prime positive divisors of 450 is
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
The last digit of
∑
1<p<100
p→‌ prime ‌
p!−
50
∑
n=1
(2n)! is
The last digit of
∑
1<p<100
p→‌ prime ‌
p!−
50
∑
n=1
(2n)! is
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
The interval I such that
1
∫
0
‌
dx
√1+x4
∈I is given by
The interval I such that
1
∫
0
‌
dx
√1+x4
∈I is given by
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
π∕2
∫
0
log(tan‌x)‌dx=
π∕2
∫
0
log(tan‌x)‌dx=
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
The value of
2
∫
−2
(ax3+bx+c)‌dx depends on the
The value of
2
∫
−2
(ax3+bx+c)‌dx depends on the
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
.The area of the region bound by the curves y=x2 and y=4x−x2 is
.The area of the region bound by the curves y=x2 and y=4x−x2 is
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
The particular solution of ‌
y
x
‌
dy
dx
=‌
1+y2
1+x2
, when x=1,y=2 is
The particular solution of ‌
y
x
‌
dy
dx
=‌
1+y2
1+x2
, when x=1,y=2 is
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
The solution of the differential equation ‌
dy
dx
=(x+y)2 is
The solution of the differential equation ‌
dy
dx
=(x+y)2 is
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
The maximum value of (‌
1
x
)2x2 is
The maximum value of (‌
1
x
)2x2 is
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
Let x be a number which exceeds its square by the greatest possible quantity, then x=
Let x be a number which exceeds its square by the greatest possible quantity, then x=
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
The subtangent at x=π∕2 on the curve y=x sin‌x is
The subtangent at x=π∕2 on the curve y=x sin‌x is
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
The value of ∫‌
10x∕2
√10−x−10x
‌dx is
The value of ∫‌
10x∕2
√10−x−10x
‌dx is
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
∫ex{‌
1+sin‌x‌cos‌x
cos2x
}‌dx=
∫ex{‌
1+sin‌x‌cos‌x
cos2x
}‌dx=
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
∫‌
x2+1
x4+1
‌dx
∫‌
x2+1
x4+1
‌dx
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
The locus of the mid-point of the intercept of the line x‌cos‌α+ysin‌α=p between the coordinate axes is
The locus of the mid-point of the intercept of the line x‌cos‌α+ysin‌α=p between the coordinate axes is
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
If the line through A=(4,−5) is inelined at an angle 45∘ with the positive direction of the X-axis, then the coordinates of the two points on opposite sides of A at a distance of 3√2 units are
If the line through A=(4,−5) is inelined at an angle 45∘ with the positive direction of the X-axis, then the coordinates of the two points on opposite sides of A at a distance of 3√2 units are
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
If the line px+qy=0 coincides with one of the lines given by ax2+2hxy+by2=0, then
If the line px+qy=0 coincides with one of the lines given by ax2+2hxy+by2=0, then
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
The function f(x)=(‌
loge(1+ax)−loge(1−bx)
x
) is
undefined at x=0. The value which should be assigned to f at x=0 so that it is continuous at x=0 is
The function f(x)=(‌
loge(1+ax)−loge(1−bx)
x
) is
undefined at x=0. The value which should be assigned to f at x=0 so that it is continuous at x=0 is
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
lim
n→∞
‌
(12+22+...+n2)‌n√n
(n+1)(n+10)(n+100)
=
lim
n→∞
‌
(12+22+...+n2)‌n√n
(n+1)(n+10)(n+100)
=
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
The number of triangles in a complete graph with 10 non-collinear vertices is
The number of triangles in a complete graph with 10 non-collinear vertices is
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
The angle between hands of a clock when the time is 4.25‌AM is signed to
The angle between hands of a clock when the time is 4.25‌AM is signed to
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
The point (5,−7) lies outside the circle
The point (5,−7) lies outside the circle
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