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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The number of neutrons in ‌92U235 nucleus is
The number of neutrons in ‌92U235 nucleus is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Reverse saturation current of a diode
Reverse saturation current of a diode
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
A radioactive sample has a half-life of 10‌min. If 64 nuclei are contained in the sample the number of nuclei that would decay after, 50‌min is
A radioactive sample has a half-life of 10‌min. If 64 nuclei are contained in the sample the number of nuclei that would decay after, 50‌min is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The carrier of electromagnetic interaction is
The carrier of electromagnetic interaction is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The output of NOT gate when its input is 0
The output of NOT gate when its input is 0
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
LCD stands for
LCD stands for
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Which of the following statement is false?
Which of the following statement is false?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The correet relation between S,θ,L and C for an optically active solution is
The correet relation between S,θ,L and C for an optically active solution is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
An inductor and a resistor are connected to an AC supply of 50V and 50‌Hz. If the voltage across the resistor is 40V, then the voltage across the inductor will be
An inductor and a resistor are connected to an AC supply of 50V and 50‌Hz. If the voltage across the resistor is 40V, then the voltage across the inductor will be
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A 10µF capacitor is charged to 10V and disconnected from the battery. If another uncharged 10µF capacitor is connected across it in parallel, then the voltage across the combination will be
A 10µF capacitor is charged to 10V and disconnected from the battery. If another uncharged 10µF capacitor is connected across it in parallel, then the voltage across the combination will be
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
When two light nuclei fuse to form a relatively heavier nucleus, then the specific binding energy of the product nucleus is
When two light nuclei fuse to form a relatively heavier nucleus, then the specific binding energy of the product nucleus is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Two point charges Q1=2µC and Q2=1µC are placed as shown. The coordinates of the point P are (2‌cm,1‌cm). The electric intensity vector at P subtends an angle θ with the positive X-axis.
The value of θ is given by
Two point charges Q1=2µC and Q2=1µC are placed as shown. The coordinates of the point P are (2‌cm,1‌cm). The electric intensity vector at P subtends an angle θ with the positive X-axis.
The value of θ is given by
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The direction of the force on a current carrying conductor held perpendicular to an uniform magnetic field is given by
The direction of the force on a current carrying conductor held perpendicular to an uniform magnetic field is given by
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A convex lens of focal length F is placed in contact with a concave lens of focal length F. The equivalent focal length of the combination is
A convex lens of focal length F is placed in contact with a concave lens of focal length F. The equivalent focal length of the combination is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
If x=at+bt2, where x is measured in metre and t in second, then the dimension of (b∕a) is
If x=at+bt2, where x is measured in metre and t in second, then the dimension of (b∕a) is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
A particle is moving eastward with a velocity 5ms−1. In 10 s the velocity changes to 5ms−1 northwards. The average acceleration in this time is
A particle is moving eastward with a velocity 5ms−1. In 10 s the velocity changes to 5ms−1 northwards. The average acceleration in this time is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A mass of 0.1‌kg is hung at the 20‌cm mark from a 1m rod weighing 0.25‌kg pivoted at its centre. The rod will not topple if
A mass of 0.1‌kg is hung at the 20‌cm mark from a 1m rod weighing 0.25‌kg pivoted at its centre. The rod will not topple if
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Which of the following cannot be explained on the basis of Bernoulli' principle?
Which of the following cannot be explained on the basis of Bernoulli' principle?
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The layer in the Earth's atmosphere which reflects radio waves from the Earth, thus helping radio communication is
The layer in the Earth's atmosphere which reflects radio waves from the Earth, thus helping radio communication is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The reaction of the floor on an object placed on the floor of an elevator is maximum when elevator
The reaction of the floor on an object placed on the floor of an elevator is maximum when elevator
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A particle is projected at an angle of 30∘ with the horizontal with a momentum p. At the highest point its momentum is
A particle is projected at an angle of 30∘ with the horizontal with a momentum p. At the highest point its momentum is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A block of mass 0.1‌kg is held against a wall by applying a horizontal force of 5N on it. If µs between the wall and the block is 0.5 , the magnitude of the frictional force acting on the block is
A block of mass 0.1‌kg is held against a wall by applying a horizontal force of 5N on it. If µs between the wall and the block is 0.5 , the magnitude of the frictional force acting on the block is
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A ring rolls down an inclined plane. The ratio of the rotational kinetic energy to translational kinetic energy is
A ring rolls down an inclined plane. The ratio of the rotational kinetic energy to translational kinetic energy is
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
If 120J of work is done in 2‌min by a water pump, then the power of the pump is
If 120J of work is done in 2‌min by a water pump, then the power of the pump is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Assuming, g(‌Moon ‌)=(‌
1
6
)g‌Earth ‌ and D‌(Moon) ‌=(‌
1
4
)D‌Earth ‌, where g and D are the acceleration due to gravity and diameter respectively, the escape velocity from the Moon is
Assuming, g(‌Moon ‌)=(‌
1
6
)g‌Earth ‌ and D‌(Moon) ‌=(‌
1
4
)D‌Earth ‌, where g and D are the acceleration due to gravity and diameter respectively, the escape velocity from the Moon is
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The work done in taking an ideal gas through one cycle of operation as shown in the indicator diagram below
The work done in taking an ideal gas through one cycle of operation as shown in the indicator diagram below
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The ratio of speed of sound in hydrogen to that in oxygen at the same temperature is
The ratio of speed of sound in hydrogen to that in oxygen at the same temperature is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A black body at a temperature T radiates energy at the rate of EWm−2. If the temperature is decreased by
T
2
, then the energy radiated will be
A black body at a temperature T radiates energy at the rate of EWm−2. If the temperature is decreased by
T
2
, then the energy radiated will be
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A particle executes simple harmonic motion with amplitude A. The distance moved by the particle in one oscillation is
A particle executes simple harmonic motion with amplitude A. The distance moved by the particle in one oscillation is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A capacitor of 10µF is connected to a 10V cell. The maximum charge on the capacitor will be
A capacitor of 10µF is connected to a 10V cell. The maximum charge on the capacitor will be
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A wire of uniform cross-section has a resistance R. It is cut into ten equal parts. The parts are connected in parallel between two points A and B. The effective resistance between A and B will be
A wire of uniform cross-section has a resistance R. It is cut into ten equal parts. The parts are connected in parallel between two points A and B. The effective resistance between A and B will be
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Wires made of iron and silicon are cooled from 50∘C to 30∘C, then
Wires made of iron and silicon are cooled from 50∘C to 30∘C, then
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
In a meter bridge a copper coil is connected in the right gap and a resistance of 10Ω in the left gap. The balance point is obtained at 0.2m. The resistance of the coil is
In a meter bridge a copper coil is connected in the right gap and a resistance of 10Ω in the left gap. The balance point is obtained at 0.2m. The resistance of the coil is
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Two identical concentric coils X and Y carrying currents in the ratio 1:2 are arranged in mutually perpendicular planes. If the magnetic field due to coil X is B, then the net field at their common centre is
Two identical concentric coils X and Y carrying currents in the ratio 1:2 are arranged in mutually perpendicular planes. If the magnetic field due to coil X is B, then the net field at their common centre is
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Which of the following is based on mechanical effect of electric current?
Which of the following is based on mechanical effect of electric current?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
According to Faraday's law of electromagnetic induction an emf is induced in a coil, if
According to Faraday's law of electromagnetic induction an emf is induced in a coil, if
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
The current in a coil changes from 1‌mA to 5‌mA in 4 milli second. If the coefficient of self-induction of the coil is 10‌mH, then the magnitude of the self-induced emf is
The current in a coil changes from 1‌mA to 5‌mA in 4 milli second. If the coefficient of self-induction of the coil is 10‌mH, then the magnitude of the self-induced emf is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The graph of kinetic energy of photoelectron versus frequency of incident radiation is shown for two metals M and N. We may definitely conclude
The graph of kinetic energy of photoelectron versus frequency of incident radiation is shown for two metals M and N. We may definitely conclude
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Choose the wrong statement.
Choose the wrong statement.
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
In the case of the Bohr atom model if EK and U are the kinetic and potential energies of an electron in an orbit, then
In the case of the Bohr atom model if EK and U are the kinetic and potential energies of an electron in an orbit, then
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The ratio of the magnetic fields at the centre of a circular coil carrying current to that at a point whose distance is half of the radius of the coil is
The ratio of the magnetic fields at the centre of a circular coil carrying current to that at a point whose distance is half of the radius of the coil is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
The difference between the wavelengths of the stokes line and anti-stokes lines in the Raman spectrum of H−Br molecule is 100
^
A
. If the wavelength of the anti-stokes line is 5000A, then the wavelength of the incident radiation is
The difference between the wavelengths of the stokes line and anti-stokes lines in the Raman spectrum of H−Br molecule is 100
^
A
. If the wavelength of the anti-stokes line is 5000A, then the wavelength of the incident radiation is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
Optical pumping means transferring electrons
Optical pumping means transferring electrons
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
An open pipe immersed in water to half its length. The ratio of the fundamental frequency of the pipe before and after immersion in water is
An open pipe immersed in water to half its length. The ratio of the fundamental frequency of the pipe before and after immersion in water is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Assuming, R=8.3Jmol−1K−1 and γ=1.4 the values of Cp and CV of a gas are
Assuming, R=8.3Jmol−1K−1 and γ=1.4 the values of Cp and CV of a gas are
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A star A is 100 times brighter than star B. Then, mB−mA the difference in their apparent magnitudes is
A star A is 100 times brighter than star B. Then, mB−mA the difference in their apparent magnitudes is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A monochromatic ray of light enters into a glass slab (n=15) along the normal to the surface. The angle of deviation of the refracted ray is
A monochromatic ray of light enters into a glass slab (n=15) along the normal to the surface. The angle of deviation of the refracted ray is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A ray of light passing from glass to water is incident on the glass-water interface at 65∘. If the critical angle for the pair of media is 63∘.
A ray of light passing from glass to water is incident on the glass-water interface at 65∘. If the critical angle for the pair of media is 63∘.
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
An equilateral prism is kept in the minimum deviation position. If the angle of incidence of a monochromatic ray at a refracting face is 49∘30∘, then the angle of minimum deviation of the ray will be
An equilateral prism is kept in the minimum deviation position. If the angle of incidence of a monochromatic ray at a refracting face is 49∘30∘, then the angle of minimum deviation of the ray will be
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A glass hemisphere of radius 0.1‌cm and refractive index 1.5 is placed over a spot on a table and the spot is viewed from above. The spot appears to be
A glass hemisphere of radius 0.1‌cm and refractive index 1.5 is placed over a spot on a table and the spot is viewed from above. The spot appears to be
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Photoelectric effect and Raman effect can be explained on the basis of
Photoelectric effect and Raman effect can be explained on the basis of
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
In an interference pattern the ratio of the intensity of light at the bright fringe to that at the dark fringe is 9:1. Then, the ratio of the amplitudes of the two interfering waves
In an interference pattern the ratio of the intensity of light at the bright fringe to that at the dark fringe is 9:1. Then, the ratio of the amplitudes of the two interfering waves
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Diffraction effects are more easily detected in the case of sound waves than light waves because
Diffraction effects are more easily detected in the case of sound waves than light waves because
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
If θ is the polarising angle for a medium in which the speed of light is v, then according to Brewster's law
If θ is the polarising angle for a medium in which the speed of light is v, then according to Brewster's law
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Two polaroid A and B are kept with their transmission axes at an angle θ with respect to one another. If the transmitted intensity of light It=0.75I0, where I0 is the intensity of light incident on the system, then θ is
Two polaroid A and B are kept with their transmission axes at an angle θ with respect to one another. If the transmitted intensity of light It=0.75I0, where I0 is the intensity of light incident on the system, then θ is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The electric force between two point charges separated by a certain distance in air is F. The distance at which they should be placed in a medium of relative permittivity k, so that the force remains the same, is
The electric force between two point charges separated by a certain distance in air is F. The distance at which they should be placed in a medium of relative permittivity k, so that the force remains the same, is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A positively charged particle is released from rest in a region of uniform electric field. The particle will move
A positively charged particle is released from rest in a region of uniform electric field. The particle will move
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Two charges q and −2q are separated by a distance d. If the electric intensity at the site of q is E, then the electric field at the site of −2q is
Two charges q and −2q are separated by a distance d. If the electric intensity at the site of q is E, then the electric field at the site of −2q is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Choose the correct statement.
Choose the correct statement.
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
"Plum pudding" model of an atom was proposed by
"Plum pudding" model of an atom was proposed by
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
Which of the following is not a protein?
Which of the following is not a protein?
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
Which of the following is not true for the adsorption of a gas on a solid?
Which of the following is not true for the adsorption of a gas on a solid?
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Peptisation is a process in which
Peptisation is a process in which
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
The mole fraction of benzene in a solution containing 39% by mass in an organic solvent of molecular mass 122 is
The mole fraction of benzene in a solution containing 39% by mass in an organic solvent of molecular mass 122 is
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Zn(s)+Cl2(1‌atm)→Zn2++2Cl−;E∘=2.0V
To increase the emf of the above cell
Zn(s)+Cl2(1‌atm)→Zn2++2Cl−;E∘=2.0V
To increase the emf of the above cell
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Two ions A+and B−have radii 104 and 200‌pm respectively, in a cubic close packed crystal of compound AB. The coordination number of A+ is
Two ions A+and B−have radii 104 and 200‌pm respectively, in a cubic close packed crystal of compound AB. The coordination number of A+ is
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
The mass of a non-volatile solute of molar mass 60gmol−1 that should be dissolved in 126g of water to reduce its vapour pressure to 99% will be
The mass of a non-volatile solute of molar mass 60gmol−1 that should be dissolved in 126g of water to reduce its vapour pressure to 99% will be
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
The pH of boiling water is 6.4 . This implies that boiling water is
The pH of boiling water is 6.4 . This implies that boiling water is
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The spin only magnetic moment of Ni2+ (in BM ) in aqueots solution will be
The spin only magnetic moment of Ni2+ (in BM ) in aqueots solution will be
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
An organic compound which produces a bluish green flame when heated on a copper wire is
An organic compound which produces a bluish green flame when heated on a copper wire is
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
Phenol can be distinguished from ethyl alcohol using
Phenol can be distinguished from ethyl alcohol using
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
The time required for 100% completion of zero order reaction is
The time required for 100% completion of zero order reaction is
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The EAN of central metal atom in [Co(NH3)6]Cl3 is
[Atomic number of Co=27 ]
The EAN of central metal atom in [Co(NH3)6]Cl3 is
[Atomic number of Co=27 ]
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
The alcohol obtained during the hydrolysis of ground nut oil is
The alcohol obtained during the hydrolysis of ground nut oil is
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Which one of the following ores is concentrated by froth floatation process?
Which one of the following ores is concentrated by froth floatation process?
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Which of the following electron transitions in the H-atom will release the largest amount of energy?
Which of the following electron transitions in the H-atom will release the largest amount of energy?
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
An electron having spin quantum number of s=‌
−1
2
 and magnetic quantum number, m=+3 can be present in
An electron having spin quantum number of s=‌
−1
2
 and magnetic quantum number, m=+3 can be present in
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
The atomic number of the element with highest ionisation energy among the following is
The atomic number of the element with highest ionisation energy among the following is
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Number of atoms in 560cm3 of oxygen at STP is
Number of atoms in 560cm3 of oxygen at STP is
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
The volume of CO2 (in cm3) liberated at STP, when 1.06g of anhydrous sodium carbonate is treated with excess of dilute HCl is [atomic mass of Na=23]
The volume of CO2 (in cm3) liberated at STP, when 1.06g of anhydrous sodium carbonate is treated with excess of dilute HCl is [atomic mass of Na=23]
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
The oxidation number of oxygen is -1 in
The oxidation number of oxygen is -1 in
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
The heat of formation of H2O(l) is −286‌kJ. The heat of formation of H2O(g) is likely to be
The heat of formation of H2O(l) is −286‌kJ. The heat of formation of H2O(g) is likely to be
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
The temperature of one mole of an ideal gas increases from 298K to 308K, when it absorbs 200J of heat at constant volume. The change in the internal energy of the gas is
The temperature of one mole of an ideal gas increases from 298K to 308K, when it absorbs 200J of heat at constant volume. The change in the internal energy of the gas is
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
100‌mL of ‌
N
5
‌HCl was added to 1g of pure
CaCO3. What would remain after the reaction?
100‌mL of ‌
N
5
‌HCl was added to 1g of pure
CaCO3. What would remain after the reaction?
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
The RMS velocity of CH4,He and SO2 are in the ratio of
The RMS velocity of CH4,He and SO2 are in the ratio of
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
A negative catalyst will
A negative catalyst will
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
The number of σ and π-bonds in pent-2-yne is
The number of σ and π-bonds in pent-2-yne is
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
In Lassaigne's test for nitrogen in an organic compound, the blue colouration is due to the formation of
In Lassaigne's test for nitrogen in an organic compound, the blue colouration is due to the formation of
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
The organic compound obtained during the addition of HBr to propene in the presence of peroxide catalyst is
The organic compound obtained during the addition of HBr to propene in the presence of peroxide catalyst is
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
On passing H2S into a solution containing both Zn2+ and Cu2+ in acidic medium, only CuS gets precipitate. This is because
On passing H2S into a solution containing both Zn2+ and Cu2+ in acidic medium, only CuS gets precipitate. This is because
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
The volume of H2 obtained at STP, when Mg obtained by passing a current of 0.5A through molten MgCl2 for 32.2‌min is treated with excess of dilute HCl is approximately [Equivalent mass of Mg=12 ]
The volume of H2 obtained at STP, when Mg obtained by passing a current of 0.5A through molten MgCl2 for 32.2‌min is treated with excess of dilute HCl is approximately [Equivalent mass of Mg=12 ]
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
Markownikoff's rule is applicable to
Markownikoff's rule is applicable to
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
The reaction of ethene is the presence of H+ can be example for
The reaction of ethene is the presence of H+ can be example for
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
CH3−CN‌
‌ Dil. HCl ‌
→
‌A‌
LAlH4
→
‌B‌
PCl5
→
‌C‌
Alc.KOH
→

The product D in the above sequence of reactions is
CH3−CN‌
‌ Dil. HCl ‌
→
‌A‌
LAlH4
→
‌B‌
PCl5
→
‌C‌
Alc.KOH
→

The product D in the above sequence of reactions is
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
An organic compound is optically active if, it
An organic compound is optically active if, it
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
Identify the electrophile in the following.
Identify the electrophile in the following.
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
The ionisation constant of phenol is more than that of ethanol because
The ionisation constant of phenol is more than that of ethanol because
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
The product C in the following sequence of chemical reaction is
CH3−COOH‌
Ca(OH)2
→
‌A‌
‌ Heat ‌
→
‌B‌
NH2‌OH
→
‌C
The product C in the following sequence of chemical reaction is
CH3−COOH‌
Ca(OH)2
→
‌A‌
‌ Heat ‌
→
‌B‌
NH2‌OH
→
‌C
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Which of the following statements is not true?
Which of the following statements is not true?
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
Maximum number of molecules of methyl iodide that can react with one molecule of methyl amine is
Maximum number of molecules of methyl iodide that can react with one molecule of methyl amine is
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
The amine which will not liberate nitrogen with nitrous acid is
The amine which will not liberate nitrogen with nitrous acid is
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Which of the following is aromatic?
Which of the following is aromatic?
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
The mass of hydrogen in gram required to completely saturate 1 mole of triolein is
The mass of hydrogen in gram required to completely saturate 1 mole of triolein is
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
CH3−CH2−OH‌
A
→

CH3−CH2−Cl‌
B
→
‌CH2=CH2.A and B in this sequence of reactions are
CH3−CH2−OH‌
A
→

CH3−CH2−Cl‌
B
→
‌CH2=CH2.A and B in this sequence of reactions are
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
The enthalpy of neutralisation of HCl and NaOH is x‌kJ. The heat evolved, when 500‌mL of 2N‌HCl is mixed with 250‌mL of 4N‌NaOH will be
The enthalpy of neutralisation of HCl and NaOH is x‌kJ. The heat evolved, when 500‌mL of 2N‌HCl is mixed with 250‌mL of 4N‌NaOH will be
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
A+B⟼C+D
The initial concentrations of A and B are equal. At equilibrium, the concentration of C is twice that of A. The equilibrium constant of the reaction is
A+B⟼C+D
The initial concentrations of A and B are equal. At equilibrium, the concentration of C is twice that of A. The equilibrium constant of the reaction is
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The dissociation of lime stone in the slag zone of the blast furnace is
The dissociation of lime stone in the slag zone of the blast furnace is
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
Which of the following is not true for concentrated H2SO4 ?
Which of the following is not true for concentrated H2SO4 ?
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Which of the following noble gases has the highest van der Waals force of attraction?
Which of the following noble gases has the highest van der Waals force of attraction?
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
Which one of the following metal ions is coloured?
Which one of the following metal ions is coloured?
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Coordination number of nickel in [Ni(C2O4)3]4− is
Coordination number of nickel in [Ni(C2O4)3]4− is
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
IUPAC name of [CrCl2(NH3)4]NO3 is
IUPAC name of [CrCl2(NH3)4]NO3 is
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
Decomposition of NH3 on the surface of platinum has a rate constant of 2.5×10−4‌mol‌dm−3‌ s−1 at 350K. The order of the reaction is
Decomposition of NH3 on the surface of platinum has a rate constant of 2.5×10−4‌mol‌dm−3‌ s−1 at 350K. The order of the reaction is
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
The rate equation of a gaseous reaction is given by r=k[A][B]. If the volume of the reaction vessel is suddenly reduced to
1
2
 of the initial volume, the reaction rate relating to the original rate will be
The rate equation of a gaseous reaction is given by r=k[A][B]. If the volume of the reaction vessel is suddenly reduced to
1
2
 of the initial volume, the reaction rate relating to the original rate will be
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
The reduction potential of an electrode can be increased by
The reduction potential of an electrode can be increased by
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
An electric current is passed through silver and water voltameters connected in series. The cathode of the silver voltameter weighed 0.054g more at the end of electrolysis. The volume of O2 evolved at the anode of water voltameter is
An electric current is passed through silver and water voltameters connected in series. The cathode of the silver voltameter weighed 0.054g more at the end of electrolysis. The volume of O2 evolved at the anode of water voltameter is
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
The pH of a mixture of 10‌mL of 0.1MH2SO4. 5‌mL of 0.2N‌HCl and 5‌mL of 0.1M‌Ca(OH)2 is
The pH of a mixture of 10‌mL of 0.1MH2SO4. 5‌mL of 0.2N‌HCl and 5‌mL of 0.1M‌Ca(OH)2 is
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
The conjugate acid of NH2−is
The conjugate acid of NH2−is
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Phenyl isocyanide is formed when chloroform is treated with alcoholic potassium hydroxide and
Phenyl isocyanide is formed when chloroform is treated with alcoholic potassium hydroxide and
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
Which of the following does not undergo aldol condensation reaction?
Which of the following does not undergo aldol condensation reaction?
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
If the area of the circle 7x2+7y2−7x+14y+k−0 is 12π sq units, then the value of k is
If the area of the circle 7x2+7y2−7x+14y+k−0 is 12π sq units, then the value of k is
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
A man running a race-course notes that the sum of the distances from the two flag posts from him is always 10m and the distance between the flag posts is 8m. The equations of the path traced by the man is given by
A man running a race-course notes that the sum of the distances from the two flag posts from him is always 10m and the distance between the flag posts is 8m. The equations of the path traced by the man is given by
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
The number of common tangents to the circles x2+y2−2x−4y+1=0 and x2+y2−12x−16y+91=0 is
The number of common tangents to the circles x2+y2−2x−4y+1=0 and x2+y2−12x−16y+91=0 is
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
Equation of the chord of the circle x2+y2+4x−6y−9=0 bisected at (0,1) is
Equation of the chord of the circle x2+y2+4x−6y−9=0 bisected at (0,1) is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
The angle between two asymptotes of the hyperbola ‌
x2
25
−‌
y2
16
=1 is
The angle between two asymptotes of the hyperbola ‌
x2
25
−‌
y2
16
=1 is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
The parametric equation of a parabola is x=t2+1,y=2t+1. The cartesian equation of its directrix is
The parametric equation of a parabola is x=t2+1,y=2t+1. The cartesian equation of its directrix is
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
If |a×b|=5 and |a⋅b|=3, then |a|2|b|2 is equal to
If |a×b|=5 and |a⋅b|=3, then |a|2|b|2 is equal to
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
The direction cosines of the vector 2
^
i
+
^
j
−2
^
k
 is equal to
The direction cosines of the vector 2
^
i
+
^
j
−2
^
k
 is equal to
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
If 1,ω,ω2 are the cube roots of unity, then (3+3ω2+5ω)6−(2+6ω2+2ω)3 is equal to
If 1,ω,ω2 are the cube roots of unity, then (3+3ω2+5ω)6−(2+6ω2+2ω)3 is equal to
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
If
x
∫
log‌2
‌
dy
√ey−1
=‌
π
6
, then x is equal to
If
x
∫
log‌2
‌
dy
√ey−1
=‌
π
6
, then x is equal to
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
8
∫
−8
(sin‌93x+x295)‌dx=
8
∫
−8
(sin‌93x+x295)‌dx=
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
Area of the ellipse ‌
x2
25
+‌
y2
16
=1 is given by
Area of the ellipse ‌
x2
25
+‌
y2
16
=1 is given by
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
The order of the differential equation
[1+(‌
dy
dx
)5]‌
2
3
=‌
d3y
dx3
The order of the differential equation
[1+(‌
dy
dx
)5]‌
2
3
=‌
d3y
dx3
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
The solution of ‌
dy
dx
−1=ex−y is
The solution of ‌
dy
dx
−1=ex−y is
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
If sin‌−1(‌
2p
1+p2
)−cos−1(‌
1−q2
1+q2
)
=tan−1(‌
2x
1+x2
), then the value of x is equal to
If sin‌−1(‌
2p
1+p2
)−cos−1(‌
1−q2
1+q2
)
=tan−1(‌
2x
1+x2
), then the value of x is equal to
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
The unit vector in the direction of the vector a+2b−c is equal to
The unit vector in the direction of the vector a+2b−c is equal to
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
Identify the false statement.
Identify the false statement.
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
If y=tan−1(‌
1
1+x+x2
)+tan−1(‌
1
x2+3x+3
) +tan−1(‌
1
x2+5x+7
)+...+ upto n terms then, ‌
dy
dx
 at x=0 and n=1 is equal to
If y=tan−1(‌
1
1+x+x2
)+tan−1(‌
1
x2+3x+3
) +tan−1(‌
1
x2+5x+7
)+...+ upto n terms then, ‌
dy
dx
 at x=0 and n=1 is equal to
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
If cot‌α‌cot‌β=2, then ‌
cos(α+β)
cos(α−β)
 is equal to
If cot‌α‌cot‌β=2, then ‌
cos(α+β)
cos(α−β)
 is equal to
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
If ω is a cube root of unity, then the value of determinant |
1+ωω2ω
ω2+ω−ωω2
1+ω2ωω2
| is equal to
If ω is a cube root of unity, then the value of determinant |
1+ωω2ω
ω2+ω−ωω2
1+ω2ωω2
| is equal to
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
If the tangent to the curve 2y3=ax2+x3 at the point (a,a) cuts off intercepts α and β on the coordinate axes, where α2+β2=61, then the value of a is equal to
If the tangent to the curve 2y3=ax2+x3 at the point (a,a) cuts off intercepts α and β on the coordinate axes, where α2+β2=61, then the value of a is equal to
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
Length of the subtangent at (a,a) on the curve y2=‌
x2
2a+x
 is equal to
Length of the subtangent at (a,a) on the curve y2=‌
x2
2a+x
 is equal to
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
The function f(x)=5+36x+3x2−2x3 is increasing in the interval
The function f(x)=5+36x+3x2−2x3 is increasing in the interval
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are
Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
The number of positive divisors of 4896 is
The number of positive divisors of 4896 is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
The last digit of 583!+7291 is
The last digit of 583!+7291 is
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
∫xx(1+log‌x)‌dx=
∫xx(1+log‌x)‌dx=
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
If ∫‌
xex
(1+x)2
‌dx=exf(x)+c, then f(x) is equal to
If ∫‌
xex
(1+x)2
‌dx=exf(x)+c, then f(x) is equal to
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
π∕2
∫
0
‌
sin‌2t
sin‌4t+cos4t
‌dt=
π∕2
∫
0
‌
sin‌2t
sin‌4t+cos4t
‌dt=
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If 4log93+9log24=10log483, then x is equal to
If 4log93+9log24=10log483, then x is equal to
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
If p=3‌
1
3
⋅3‌
2
9
⋅3‌
3
27
...∞, then p‌
4
3
=
If p=3‌
1
3
⋅3‌
2
9
⋅3‌
3
27
...∞, then p‌
4
3
=
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
If α,β,γ are the roots of the equation x3−3x2+2x−1=0, then the value of (1−α)(1−β)(1−γ) is
If α,β,γ are the roots of the equation x3−3x2+2x−1=0, then the value of (1−α)(1−β)(1−γ) is
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
The middle term in the expansion of (1+x)2n is
The middle term in the expansion of (1+x)2n is
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
If p→(−q∨r) is false, then the truth values of p,q and r are
If p→(−q∨r) is false, then the truth values of p,q and r are
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
If ‌
2
9!
+‌
2
3!7!
+‌
1
5!5!
=‌
2a
b!
, where a,b∈N, then the ordered pair (a,b) is
If ‌
2
9!
+‌
2
3!7!
+‌
1
5!5!
=‌
2a
b!
, where a,b∈N, then the ordered pair (a,b) is
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
‌tan‌10∘‌tan‌20∘‌tan‌30∘‌tan‌40∘
‌tan‌50∘‌tan‌60∘‌tan‌70∘‌tan‌80∘=
‌tan‌10∘‌tan‌20∘‌tan‌30∘‌tan‌40∘
‌tan‌50∘‌tan‌60∘‌tan‌70∘‌tan‌80∘=
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
If tan‌θ=‌
m
n
, then n‌cos‌2‌θ+msin‌2θ is equal to
If tan‌θ=‌
m
n
, then n‌cos‌2‌θ+msin‌2θ is equal to
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
If ‌
b+c
11
=‌
c+a
12
=‌
a+b
13
, then cos‌A is equal to
If ‌
b+c
11
=‌
c+a
12
=‌
a+b
13
, then cos‌A is equal to
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
If a=cos‌2‌α+isin‌2α,b=cos‌2‌β+isin‌2β, then √‌
a
b
+√‌
b
a
=
If a=cos‌2‌α+isin‌2α,b=cos‌2‌β+isin‌2β, then √‌
a
b
+√‌
b
a
=
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
If y=log[tan(‌
π
4
+‌
x
2
)], then ‌
dy
dx
=
If y=log[tan(‌
π
4
+‌
x
2
)], then ‌
dy
dx
=
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
If y=sin‌2(tan−1√‌
1−x2
1+x2
), then ‌
dy
dx
=
If y=sin‌2(tan−1√‌
1−x2
1+x2
), then ‌
dy
dx
=
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
If √‌
x
y
+√‌
y
x
=√a, then y⋅‌
dx
dy
=
If √‌
x
y
+√‌
y
x
=√a, then y⋅‌
dx
dy
=
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
If x=‌
1−t
1+t
,y=‌
2t
1+t
, then ‌
d2y
dx2
=
If x=‌
1−t
1+t
,y=‌
2t
1+t
, then ‌
d2y
dx2
=
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
In the group G={1,5,7,11} under ⊗12 the value of 7⊗1211−1 is equal to
In the group G={1,5,7,11} under ⊗12 the value of 7⊗1211−1 is equal to
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
Which of the following is a subgroup of the group G={1,2,3,4,5,6} under ⊗7 ?
Which of the following is a subgroup of the group G={1,2,3,4,5,6} under ⊗7 ?
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
If A=[
3−34
2−34
0−11
],B=(adj‌A) and C=5A, then ‌
|C|
|adj‌B|
 is equal to
If A=[
3−34
2−34
0−11
],B=(adj‌A) and C=5A, then ‌
|C|
|adj‌B|
 is equal to
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
If A=[
111
123
134
],B=[
7
16
22
],X=[
x
y
z
] and AX=B, then z is equal to
If A=[
111
123
134
],B=[
7
16
22
],X=[
x
y
z
] and AX=B, then z is equal to
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
If A=[
1logba
logab1
], then |A| is equal to
If A=[
1logba
logab1
], then |A| is equal to
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
.If a vertex of traingle is (3,3) and the mid-points of two sides through this vertex are (2,‌
3
2
) and (4,‌
3
2
), then the centroid of the triangle is given by
.If a vertex of traingle is (3,3) and the mid-points of two sides through this vertex are (2,‌
3
2
) and (4,‌
3
2
), then the centroid of the triangle is given by
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
The image of the point (2,4) on the line x+y−10=0 is
The image of the point (2,4) on the line x+y−10=0 is
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
If the sum of the slopes of the lines given by x2−4pxy+8y2=0 is three times their product, then p has the value
If the sum of the slopes of the lines given by x2−4pxy+8y2=0 is three times their product, then p has the value
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
lim
x→0
(‌
1+5x2
1+3x2
)‌
1
x2
=
lim
x→0
(‌
1+5x2
1+3x2
)‌
1
x2
=
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
If f(x)={
‌
ex−1
4x
‌ for ‌x≠0
‌
k+x
4
‌ for ‌x=0
. is continuous at x=0, then k=
If f(x)={
‌
ex−1
4x
‌ for ‌x≠0
‌
k+x
4
‌ for ‌x=0
. is continuous at x=0, then k=
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
The non-adjacent vertex in the graph is
The non-adjacent vertex in the graph is
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
sin‌[2cos−1‌cot(2tan−1‌
1
2
)] is equal to
sin‌[2cos−1‌cot(2tan−1‌
1
2
)] is equal to
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
The multiplicative inverse of ‌
3+4i
4−5i
 is
The multiplicative inverse of ‌
3+4i
4−5i
 is
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
The general solution of tan‌x−sin‌x=1−tan‌x⋅sin‌x
The general solution of tan‌x−sin‌x=1−tan‌x⋅sin‌x
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
The angle between the circles
x2+y2+4x+2y+1=0
x2+y2−2x+6y−6=0
The angle between the circles
x2+y2+4x+2y+1=0
x2+y2−2x+6y−6=0
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
If |a|=2,|b|=7 and a×b=3
^
i
+2
^
j
+6
^
k
, then the angle between a and b is
If |a|=2,|b|=7 and a×b=3
^
i
+2
^
j
+6
^
k
, then the angle between a and b is
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
The domain of the function
f(x)=log(1−x)+√x2−1
The domain of the function
f(x)=log(1−x)+√x2−1
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