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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
A simple pendulum has a period T inside a lift, when it is stationary. The lift is accelerated upwards with constant acceleration a. The period
A simple pendulum has a period T inside a lift, when it is stationary. The lift is accelerated upwards with constant acceleration a. The period
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
90‌dB sound is x times more intense than 40‌dB sound, then x is
90‌dB sound is x times more intense than 40‌dB sound, then x is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
A star is moving away from the earth with speed v. Change in wavelength dλ observed on earth is
A star is moving away from the earth with speed v. Change in wavelength dλ observed on earth is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
An open pipe emits a fundamental frequency n when it emits the 3rd harmonic, then the pipe can accommodate
An open pipe emits a fundamental frequency n when it emits the 3rd harmonic, then the pipe can accommodate
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
In an adiabatic process,
In an adiabatic process,
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Carnot heat engine takes 300J of heat from a source at 627∘C and gives some part of it to sink at 27∘C. Work done by engine in one cycle is
Carnot heat engine takes 300J of heat from a source at 627∘C and gives some part of it to sink at 27∘C. Work done by engine in one cycle is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
15∕16 th of a radioactive sample disintegrates in
2h. Mean life of radioactive sample is approximately
15∕16 th of a radioactive sample disintegrates in
2h. Mean life of radioactive sample is approximately
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Clear images of soft tissues can be well studied using
Clear images of soft tissues can be well studied using
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Particles which are not composite and hence truly elementary are
Particles which are not composite and hence truly elementary are
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A logic gate whose output will be in logic 0 state only, when all inputs are in logic 1 state is called
A logic gate whose output will be in logic 0 state only, when all inputs are in logic 1 state is called
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
n-type and p-type semiconductors can be obtained by doping pure silicon, respectively with
n-type and p-type semiconductors can be obtained by doping pure silicon, respectively with
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
In a CE amplifier, β=50,RL=4kΩ,Ri=500Ω. Power gain of the amplifier is
In a CE amplifier, β=50,RL=4kΩ,Ri=500Ω. Power gain of the amplifier is
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Electrons are excited from n=1 to n=4 state. During downward transitions, possible number of spectral lines observed in Balmer series is
Electrons are excited from n=1 to n=4 state. During downward transitions, possible number of spectral lines observed in Balmer series is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
IR region lies between
IR region lies between
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A proton and an alpha particle are subjected to same potential difference V. Their de-Broglie wavelengths λp,λα will be in the ratio
A proton and an alpha particle are subjected to same potential difference V. Their de-Broglie wavelengths λp,λα will be in the ratio
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Raman shift depends on
Raman shift depends on
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
‌6C14 and ‌7N15 are the examples of
‌6C14 and ‌7N15 are the examples of
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
In an interference experiment, intensity ratio at the bright to dark fringe is 9:1. Amplitudes of interfering waves are in the ratio
In an interference experiment, intensity ratio at the bright to dark fringe is 9:1. Amplitudes of interfering waves are in the ratio
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
In Young's double slit experiment, 1st dark fringe occurs directly opposite to a slit.
Wavelength of light used is
In Young's double slit experiment, 1st dark fringe occurs directly opposite to a slit.
Wavelength of light used is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Newton's ring pattern in reflected system, viewed under white light consists of
Newton's ring pattern in reflected system, viewed under white light consists of
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
It is difficult to observe diffraction in case of light waves, because
It is difficult to observe diffraction in case of light waves, because
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A calcite crystal is placed over a dot on a paper sheet and the crystal is rotate. On viewing through the calcite or sees,
A calcite crystal is placed over a dot on a paper sheet and the crystal is rotate. On viewing through the calcite or sees,
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Critical angle of the medium is 45∘. Polarising angle of incidence at the surface of the medium is
Critical angle of the medium is 45∘. Polarising angle of incidence at the surface of the medium is
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
If only 2% of the main current is to be passed through a galvanometer of resistance G, then the resistance of shunt should be
If only 2% of the main current is to be passed through a galvanometer of resistance G, then the resistance of shunt should be
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A small current carrying loop of area A behaves like a tiny magnet of magnetic moment M. Current in the loop is
A small current carrying loop of area A behaves like a tiny magnet of magnetic moment M. Current in the loop is
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Two concentric circular coils, each having 10 turns with radii 0.2m and 0.4m carry currents 0.2A and 0.3A respectively in opposite directions. Magnetic field at the centre is
Two concentric circular coils, each having 10 turns with radii 0.2m and 0.4m carry currents 0.2A and 0.3A respectively in opposite directions. Magnetic field at the centre is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Material of permanent magnet has
Material of permanent magnet has
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Power factor of a series L−C−R circuit is
Power factor of a series L−C−R circuit is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
An inductor 1H is connected across 220V, 50‌Hz supply. Peak value of current is approximately
An inductor 1H is connected across 220V, 50‌Hz supply. Peak value of current is approximately
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Plane polarised light is passed through an analyser and the intensity of emerging light is reduced by 75%. Optical vibrations make an angle θ with the axis of analyser, then θ is
Plane polarised light is passed through an analyser and the intensity of emerging light is reduced by 75%. Optical vibrations make an angle θ with the axis of analyser, then θ is
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A charge 10‌nC is situated in a medium of relative permittivity 10 . The potential due to this charge at a distance of 0.1m is
A charge 10‌nC is situated in a medium of relative permittivity 10 . The potential due to this charge at a distance of 0.1m is
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Dielectric constant of a metal is
Dielectric constant of a metal is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Distance between the two point charges is increased by 20%. Force of interaction between the charges
Distance between the two point charges is increased by 20%. Force of interaction between the charges
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Potential energy of 2 charge 10‌nC each separated by a distance of 0.09m in air is
Potential energy of 2 charge 10‌nC each separated by a distance of 0.09m in air is
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A metal plate of thickness d / 2 is introduced in between the plates of a parallel plate air capacitor with plate separation of d, then capacity
A metal plate of thickness d / 2 is introduced in between the plates of a parallel plate air capacitor with plate separation of d, then capacity
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Specific resistance of a conductor material increases with
Specific resistance of a conductor material increases with
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
The resistance of mercury at 4.2K is
The resistance of mercury at 4.2K is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Temperature coefficient of resistance of platinum is 4×10−3∕K at 20∘C. Temperature at which increase in resistance of platinum is 10% its value at 20∘C is
Temperature coefficient of resistance of platinum is 4×10−3∕K at 20∘C. Temperature at which increase in resistance of platinum is 10% its value at 20∘C is
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Ideal voltmeter connected as shown reads
Ideal voltmeter connected as shown reads
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
When a charged particle moves perpendicular to a uniform magnetic field, then
When a charged particle moves perpendicular to a uniform magnetic field, then
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
0.04m of glass contains the same number of waves as 0.05m of water, when monochromatic light passes through them normally. Refractive index of water is 4∕3. Refractive index of glass is
0.04m of glass contains the same number of waves as 0.05m of water, when monochromatic light passes through them normally. Refractive index of water is 4∕3. Refractive index of glass is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Critical angle will be maximum, when light travels from
Critical angle will be maximum, when light travels from
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A ray of light incident on one face of an equilateral prism at 60∘ enters and leaves the prism symmetrically. Refractive index of the prism material is
A ray of light incident on one face of an equilateral prism at 60∘ enters and leaves the prism symmetrically. Refractive index of the prism material is
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
In the spectrum of visible light produced by a prism dispersion is
In the spectrum of visible light produced by a prism dispersion is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Convex lens of focal length f made of glass of refractive index 1.5 is immersed in water of refractive index 4∕3. Focal length is
Convex lens of focal length f made of glass of refractive index 1.5 is immersed in water of refractive index 4∕3. Focal length is
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
Two co-axial lenses of power +4D and −2D are placed in contact. The focal length of combination is
Two co-axial lenses of power +4D and −2D are placed in contact. The focal length of combination is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Eddy currents are produced in a material, when it is
Eddy currents are produced in a material, when it is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
Transformer works on 220V and its efficiency is 80%. If output power is 8‌kW, primary current is approximately
Transformer works on 220V and its efficiency is 80%. If output power is 8‌kW, primary current is approximately
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Quality factor of a series L−C−R circuit decreases from 3 to 2 . Resonant frequency is 600‌Hz. Change in bandwidth is
Quality factor of a series L−C−R circuit decreases from 3 to 2 . Resonant frequency is 600‌Hz. Change in bandwidth is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A stone dropped from the top of the tower reaches ground in 4 s. Height of the tower is (g=10m∕ s2)
A stone dropped from the top of the tower reaches ground in 4 s. Height of the tower is (g=10m∕ s2)
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Liquid crystal phase which are more close to the solid than to liquid is
Liquid crystal phase which are more close to the solid than to liquid is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
If the earth shrinks in its size (radius) mass remaining the same, the value of g on its surface will
If the earth shrinks in its size (radius) mass remaining the same, the value of g on its surface will
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Two rods of same area of cross-section and lengths and conductivities K1 and K2 are connected in series. Then in steady state, conductivity of the combination is
Two rods of same area of cross-section and lengths and conductivities K1 and K2 are connected in series. Then in steady state, conductivity of the combination is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The square of the resultant of two equal forces acting at a point is equal to three times their product. Angle between them is
The square of the resultant of two equal forces acting at a point is equal to three times their product. Angle between them is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
With the addition of impurities, surface tension of a liquid
With the addition of impurities, surface tension of a liquid
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Viscosity decreases with increase in temperature is the reason for
(i) hot water moving faster than cold water.
(ii) more viscous oils are used in motorcars during summer than in winter
Viscosity decreases with increase in temperature is the reason for
(i) hot water moving faster than cold water.
(ii) more viscous oils are used in motorcars during summer than in winter
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Moment of momentum of an electron revolving in second Bohr orbit of hydrogen is
Moment of momentum of an electron revolving in second Bohr orbit of hydrogen is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
The existence of excitation and ionisation energies in an atom is an evidence for
The existence of excitation and ionisation energies in an atom is an evidence for
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Work function of a photosensitive metal is 3‌eV. The wavelength of incident radiations which can just eject photoelectrons from the metal is
Work function of a photosensitive metal is 3‌eV. The wavelength of incident radiations which can just eject photoelectrons from the metal is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Three identical capacitors are first connected in series and then in parallel. The ratio of effective capacitances in the two cases is
Three identical capacitors are first connected in series and then in parallel. The ratio of effective capacitances in the two cases is
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
A nitrogen containing organic compound gave an oily liquid on heating with bromine and potassium hydroxide solution. On shaking the product with acetic anhydride, an antipyretic drug was obtaine
A nitrogen containing organic compound gave an oily liquid on heating with bromine and potassium hydroxide solution. On shaking the product with acetic anhydride, an antipyretic drug was obtaine
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The silver salt of a fatty acid on refluxing with an alkyl halide gives an
The silver salt of a fatty acid on refluxing with an alkyl halide gives an
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Pick out the one which does not belong to the family
Pick out the one which does not belong to the family
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Which of the following is wrongly matched?
Which of the following is wrongly matched?
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
The diameter of colloidal particle ranges from
The diameter of colloidal particle ranges from
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
The number of 2p electrons having spin quantum number s=−1∕2 are
The number of 2p electrons having spin quantum number s=−1∕2 are
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Pick out the alkane which differs from the other members of the group.
Pick out the alkane which differs from the other members of the group.
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
56g of nitrogen and 8g of hydrogen gas are heated in a closed vessel. At equilibrium 34g of ammonia are present. The equilibrium number of moles of nitrogen, hydrogen and ammonia are respectively
56g of nitrogen and 8g of hydrogen gas are heated in a closed vessel. At equilibrium 34g of ammonia are present. The equilibrium number of moles of nitrogen, hydrogen and ammonia are respectively
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
A process is taking place at constant temperature and pressure. Then,
A process is taking place at constant temperature and pressure. Then,
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
In a galvanic cell, the electrons flow from
In a galvanic cell, the electrons flow from
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
On treating a mixture of two alkyl halides with sodium metal in dry ether, 2-methyl propane was obtained. The alkyl halides are
On treating a mixture of two alkyl halides with sodium metal in dry ether, 2-methyl propane was obtained. The alkyl halides are
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Which of the following statements about benzyl chloride is incorrect?
Which of the following statements about benzyl chloride is incorrect?
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The main product obtained when a solution of sodium carbonate reacts with mercuric chloride is
The main product obtained when a solution of sodium carbonate reacts with mercuric chloride is
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
In the electrothermal process, the compound displaced by silica from calcium phosphate is
In the electrothermal process, the compound displaced by silica from calcium phosphate is
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
The enthalpy of combustion of methane at 25∘C is 890‌kJ. The heat liberated when 3.2g of methane is burnt in air is
The enthalpy of combustion of methane at 25∘C is 890‌kJ. The heat liberated when 3.2g of methane is burnt in air is
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
The pressure and temperature of 4dm3 of carbon dioxide gas are double. Then, the volume of carbon dioxide gas would be
The pressure and temperature of 4dm3 of carbon dioxide gas are double. Then, the volume of carbon dioxide gas would be
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
4g of copper was dissolved in concentrated nitric acid. The copper nitrate solution on strong heating gave 5g of its oxide. The equivalent weight of copper is
4g of copper was dissolved in concentrated nitric acid. The copper nitrate solution on strong heating gave 5g of its oxide. The equivalent weight of copper is
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
In the manufacture of ammonia by the Haber's process,
N2(g)+3H2(g)⇌2NH3(g)+92.3‌kJ, which of the following conditions is unfavourable?
In the manufacture of ammonia by the Haber's process,
N2(g)+3H2(g)⇌2NH3(g)+92.3‌kJ, which of the following conditions is unfavourable?
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
The chemical equilibrium of a reversible reaction is not influenced by
The chemical equilibrium of a reversible reaction is not influenced by
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Cumene process is the most important commercial method for the manufacture of phenol. Cumene is
Cumene process is the most important commercial method for the manufacture of phenol. Cumene is
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A solution contains 1.2046×1024 hydrochloric acid molecules in one dm3 of the solution. The strength of the solution is
A solution contains 1.2046×1024 hydrochloric acid molecules in one dm3 of the solution. The strength of the solution is
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Nuclear theory of the atom was put forward by
Nuclear theory of the atom was put forward by
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
In acetylene molecule, the two carbon atoms are linked by
In acetylene molecule, the two carbon atoms are linked by
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
The enthalpy of the reaction, H2(g)+1∕2O2(g)→H2O(g) is ∆H1 and that of H2(g)+1∕2O2(g)→H2O(l) is ∆H2. Then
The enthalpy of the reaction, H2(g)+1∕2O2(g)→H2O(g) is ∆H1 and that of H2(g)+1∕2O2(g)→H2O(l) is ∆H2. Then
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
A radioactive isotope decays at such a rate that after 192 minutes only ‌
1
16
 of the original amount remains. The half-life of the radioactive isotope is
A radioactive isotope decays at such a rate that after 192 minutes only ‌
1
16
 of the original amount remains. The half-life of the radioactive isotope is
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
The reagent which does not give acid chloride on treating with a carboxylic acid is
The reagent which does not give acid chloride on treating with a carboxylic acid is
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
Among the halogens, the one which is oxidised by nitric acid is
Among the halogens, the one which is oxidised by nitric acid is
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
The metal which does not form ammonium nitrate by reaction with dilute nitric acid is
The metal which does not form ammonium nitrate by reaction with dilute nitric acid is
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
The elements with atomic numbers 9,17,35, 53,85 are all
The elements with atomic numbers 9,17,35, 53,85 are all
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
In the electrolytic method of obtaining aluminium from purified bauxite, cryolite is added to the charge in order to
In the electrolytic method of obtaining aluminium from purified bauxite, cryolite is added to the charge in order to
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Which of the following is not an amphoteric substance?
Which of the following is not an amphoteric substance?
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
When 50cm3 of 0.2NH2SO4 is mixed with 50cm3 of 1N‌KOH, the heat liberated is
When 50cm3 of 0.2NH2SO4 is mixed with 50cm3 of 1N‌KOH, the heat liberated is
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
An artificial radioactive isotope gave ‌714N after two successive β-particle emissions. The number of neutrons in the parent nucleus must be
An artificial radioactive isotope gave ‌714N after two successive β-particle emissions. The number of neutrons in the parent nucleus must be
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
Stainless steel does not rust because
Stainless steel does not rust because
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
Which of the following combinations can be used to synthesised ethanol?
Which of the following combinations can be used to synthesised ethanol?
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
The reaction, 2SO2(g)+O2(g)⇌2SO3(g) is carried out in a 1dm3 vessel and 2dm3 vessel separately. The ratio of the reaction velocities will be
The reaction, 2SO2(g)+O2(g)⇌2SO3(g) is carried out in a 1dm3 vessel and 2dm3 vessel separately. The ratio of the reaction velocities will be
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
In a mixture of acetic acid and sodium acetate the ratio of concentrations of the salt to the acid is increased ten times. Then the pH of the solution
In a mixture of acetic acid and sodium acetate the ratio of concentrations of the salt to the acid is increased ten times. Then the pH of the solution
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
When a mixture of methane and oxygen is passed through heated molybdenum oxide, the main product formed is
When a mixture of methane and oxygen is passed through heated molybdenum oxide, the main product formed is
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Benzene can be obtained by heating either benzoic acid with X or phenol with Y. X and Y are respectively
Benzene can be obtained by heating either benzoic acid with X or phenol with Y. X and Y are respectively
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
An organic compound is boiled with alcoholic potash. The product is cooled and acidified with HCl. A white solid separates out. The starting compound may be
An organic compound is boiled with alcoholic potash. The product is cooled and acidified with HCl. A white solid separates out. The starting compound may be
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
In qualitative analysis, in order to detect second group basic radical, H2S gas is passed in the presence of dilute HCl to
In qualitative analysis, in order to detect second group basic radical, H2S gas is passed in the presence of dilute HCl to
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Aluminium displaces hydrogen from dilute HCl, whereas silver does not. The emf of a cell prepared by combining Al∕Al3+ and Ag∕Ag+ is 2.46V. The reduction potential of silver electrode is +0.80V. The reduction potential of aluminium electrode is
Aluminium displaces hydrogen from dilute HCl, whereas silver does not. The emf of a cell prepared by combining Al∕Al3+ and Ag∕Ag+ is 2.46V. The reduction potential of silver electrode is +0.80V. The reduction potential of aluminium electrode is
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
The first fraction obtained during the fractionation of petroleum is
The first fraction obtained during the fractionation of petroleum is
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
Which of the following compounds gives trichloromethane on distilling with bleaching powder?
Which of the following compounds gives trichloromethane on distilling with bleaching powder?
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
Benzoin is
Benzoin is
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
The velocity constant of a reaction at 290K was found to be 3.2×10−3 s−1. When the temperature is raised to 310K, it will be about
The velocity constant of a reaction at 290K was found to be 3.2×10−3 s−1. When the temperature is raised to 310K, it will be about
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
Select the pKa value of the strongest acid from the following.
Select the pKa value of the strongest acid from the following.
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
Pick out the unsaturated fatty acid from the following
Pick out the unsaturated fatty acid from the following
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Nylon is not a
Nylon is not a
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
The coaltar fraction which contains phenol is
The coaltar fraction which contains phenol is
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
The compounds A and B are mixed in equimolar proportion to form the products, A+B⇌C+D. At equilibrium, one-third of A and B are consumed. The equilibrium constant for the reaction is
The compounds A and B are mixed in equimolar proportion to form the products, A+B⇌C+D. At equilibrium, one-third of A and B are consumed. The equilibrium constant for the reaction is
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
In froth floatation process for the purification of ores, the particles of ore float because
In froth floatation process for the purification of ores, the particles of ore float because
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
Which of the following statements about amorphous solids is incorrect?
Which of the following statements about amorphous solids is incorrect?
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
Hydrogen diffuses six times faster than gas A. The molar mass of gas A is
Hydrogen diffuses six times faster than gas A. The molar mass of gas A is
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
Dulong and Petit's law is valid only for
Dulong and Petit's law is valid only for
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
Identify the gas which is readily adsorbed by activated charcoal
Identify the gas which is readily adsorbed by activated charcoal
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
If the distance between Na+and Cl−ions in sodium chloride crystal is x‌pm, the length of the edge of the unit cell is
If the distance between Na+and Cl−ions in sodium chloride crystal is x‌pm, the length of the edge of the unit cell is
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
Which of the following statements is incorrect?
Which of the following statements is incorrect?
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
2-acetoxy benzoic acid is used as an
2-acetoxy benzoic acid is used as an
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
A nucleoside on hydrolysis gives
A nucleoside on hydrolysis gives
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
If A={a,b,c},B={b,c,d} and C={a,d,c}, then (A−B)×(B∩C)=
If A={a,b,c},B={b,c,d} and C={a,d,c}, then (A−B)×(B∩C)=
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
The function f:X→Y defined by f(x)=sin‌x is one-one but not onto if X and Y are respectively, is equal to
The function f:X→Y defined by f(x)=sin‌x is one-one but not onto if X and Y are respectively, is equal to
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
If log42+log44+log416+log4x=6, then x=
If log42+log44+log416+log4x=6, then x=
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
.If Sn=‌
1
6⋅11
+‌
1
11⋅16
+‌
1
16⋅21
+... to n terms then 6Sn=
.If Sn=‌
1
6⋅11
+‌
1
11⋅16
+‌
1
16⋅21
+... to n terms then 6Sn=
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
The remainder obtained when (1!)2+(2!)2+(3!)2+...+(100!)2 is divided by 102 is
The remainder obtained when (1!)2+(2!)2+(3!)2+...+(100!)2 is divided by 102 is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
If (p∧∼r)→(∼p∨q) is false, then the truth values of p,q and r are respectively
If (p∧∼r)→(∼p∨q) is false, then the truth values of p,q and r are respectively
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
If α,β and γ are the roots of the equation x3−8x+8=0, then Σα2 and Σ‌
1
αβ
 are respectively is equal to
If α,β and γ are the roots of the equation x3−8x+8=0, then Σα2 and Σ‌
1
αβ
 are respectively is equal to
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
The gcd of 1080 and 675 is
The gcd of 1080 and 675 is
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
If a∣(b+c) and a∣(b−c), where a,b,c∈N, then
If a∣(b+c) and a∣(b−c), where a,b,c∈N, then
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
If a,b and c∈N, which one of the following is not true?
If a,b and c∈N, which one of the following is not true?
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
If 2A+3B=[
2−14
325
] and A+2B=[
503
162
], then B=
If 2A+3B=[
2−14
325
] and A+2B=[
503
162
], then B=
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
If O(A)=2×3,O(B)=3×2, and O(C)=3×3, which one of the following is not defined?
If O(A)=2×3,O(B)=3×2, and O(C)=3×3, which one of the following is not defined?
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
If A=[
1−3
2k
] and A2−4A+10I=A, then k=
If A=[
1−3
2k
] and A2−4A+10I=A, then k=
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
The value of |
x+yy+zz+x
xyz
x−yy−zz−x
|=
The value of |
x+yy+zz+x
xyz
x−yy−zz−x
|=
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
On the set Q of all rational numbers the operation * which is both associative and commutative is given by a*b=
On the set Q of all rational numbers the operation * which is both associative and commutative is given by a*b=
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
In the group G={1,5,7,11} under multiplication modulo 12 , the solution of 7−1×(x×11)=5 is x=
In the group G={1,5,7,11} under multiplication modulo 12 , the solution of 7−1×(x×11)=5 is x=
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
A subset of the additive group of real numbers which is not a sub group, is
A subset of the additive group of real numbers which is not a sub group, is
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
If p=
^
i
+
^
j
,q=4
^
k
−
^
j
 and r=
^
i
+
^
k
, then the unit vector in tile direction of 3p+q−2r is
If p=
^
i
+
^
j
,q=4
^
k
−
^
j
 and r=
^
i
+
^
k
, then the unit vector in tile direction of 3p+q−2r is
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
If a and b are the two vectors such that |a|=3√3,|b|=4 and |a+b|=√7, the angle between a and b is
If a and b are the two vectors such that |a|=3√3,|b|=4 and |a+b|=√7, the angle between a and b is
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
If a is vector perpendicular to both b and c, then
If a is vector perpendicular to both b and c, then
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
If the area of the parallelogram with a and b as two adjacent sides is 15 sq units, then the area of the parallelogram having 3a+2b and a+3b as two adjacent sides in sq units is
If the area of the parallelogram with a and b as two adjacent sides is 15 sq units, then the area of the parallelogram having 3a+2b and a+3b as two adjacent sides in sq units is
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
The locus of the point which moves such that the ratio of its distances from two fixed points in the plane is always a constant k(<1) is
The locus of the point which moves such that the ratio of its distances from two fixed points in the plane is always a constant k(<1) is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
If the lines x+3y−9=0,4x+by−2=0 and 2x−y−4=0 are concurrent, then b=
If the lines x+3y−9=0,4x+by−2=0 and 2x−y−4=0 are concurrent, then b=
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
The lines represented by ax2+2hxy+by2=0 are perpendicular to each other if
The lines represented by ax2+2hxy+by2=0 are perpendicular to each other if
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
The equation of the circle having x−y−2=0 and x−y+2=0 as two tangents and x+y=0 as a diameter is
The equation of the circle having x−y−2=0 and x−y+2=0 as two tangents and x+y=0 as a diameter is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
If the length of the tangent from any point on the circle (x−3)2+(y+2)2=5r2 to the circle (x−3)2+(y+2)2=r2 is 16 units, then the area between the two circles in sq units is
If the length of the tangent from any point on the circle (x−3)2+(y+2)2=5r2 to the circle (x−3)2+(y+2)2=r2 is 16 units, then the area between the two circles in sq units is
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
The circles ax2+ay2+2g1x+2f1y+c1=0 and bx2+by2+2g2x+2f2y+c2=0
(a≠0 and b≠0) cut orthogonally if
The circles ax2+ay2+2g1x+2f1y+c1=0 and bx2+by2+2g2x+2f2y+c2=0
(a≠0 and b≠0) cut orthogonally if
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
The equation of the common tangent of the two touching circles, y2+x2−6x−12y+37=0 and x2+y2−6y+7=0 is
The equation of the common tangent of the two touching circles, y2+x2−6x−12y+37=0 and x2+y2−6y+7=0 is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
The equation of the parabola with vertex at (−1,1) and focus (2,1) is
The equation of the parabola with vertex at (−1,1) and focus (2,1) is
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
The equation of the line which is tangent to both the circle x2+y2=5 and the parabola y2=40x is
The equation of the line which is tangent to both the circle x2+y2=5 and the parabola y2=40x is
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
x=4(1+cos‌θ) and y=3(1+sin‌θ) are the parametric equations of
x=4(1+cos‌θ) and y=3(1+sin‌θ) are the parametric equations of
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
If the distance between the foci and the distance between the directrices of the hyperbola ‌
x2
a2
−‌
y2
b2
=1 are in the ratio 3:2, then a:b is
If the distance between the foci and the distance between the directrices of the hyperbola ‌
x2
a2
−‌
y2
b2
=1 are in the ratio 3:2, then a:b is
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
The ellipse ‌
x2
25
+‌
y2
16
=1 and the hyperbola ‌
x2
25
−‌
y2
16
=1 have in common
The ellipse ‌
x2
25
+‌
y2
16
=1 and the hyperbola ‌
x2
25
−‌
y2
16
=1 have in common
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
If secθ=m and tan‌θ=n, then
‌
1
m
[(m+n)+‌
1
(m+n)
]=
If secθ=m and tan‌θ=n, then
‌
1
m
[(m+n)+‌
1
(m+n)
]=
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
The value of ‌
sin‌85∘−sin‌15∘
cos‌65∘
=
The value of ‌
sin‌85∘−sin‌15∘
cos‌65∘
=
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
From an aeroplane flying, vertically above a horizontal road, the angles of depression of two consecutive stones on the same side of the aeroplane are observed to be 30∘ and 60∘ respectively. The height at which the aeroplane is flying in km, is
From an aeroplane flying, vertically above a horizontal road, the angles of depression of two consecutive stones on the same side of the aeroplane are observed to be 30∘ and 60∘ respectively. The height at which the aeroplane is flying in km, is
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
If the angles of a triangle are in the ratio 3:4:5, then the sides are in the ratio
If the angles of a triangle are in the ratio 3:4:5, then the sides are in the ratio
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
If cos−1x=α,(0<x<1) and sin‌−1(2x√1−x2)+ sec−1(‌
1
2x2−1
)=‌
2π
3
, then tan−1(2x)=
If cos−1x=α,(0<x<1) and sin‌−1(2x√1−x2)+ sec−1(‌
1
2x2−1
)=‌
2π
3
, then tan−1(2x)=
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
If a>b>0, then the value of tan−1(‌
a
b
)+tan−1(‌
a+b
a−b
) depends on
If a>b>0, then the value of tan−1(‌
a
b
)+tan−1(‌
a+b
a−b
) depends on
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
Which one of the following equations has no solution?
Which one of the following equations has no solution?
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
The complex number ‌
(−√3+3i)(1−i)
(3+√3i)(i)(√3+√3i)
, when represented in the Argand diagram lies boldsymbol‌a. on the X-axis (Real axis)
The complex number ‌
(−√3+3i)(1−i)
(3+√3i)(i)(√3+√3i)
, when represented in the Argand diagram lies boldsymbol‌a. on the X-axis (Real axis)
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
If 2x=−1+√3i, then the value of (1−x2+x)6−(1−x+x2)6=
If 2x=−1+√3i, then the value of (1−x2+x)6−(1−x+x2)6=
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
The modulus and amplitude of (1+i√3)8 are respectively
The modulus and amplitude of (1+i√3)8 are respectively
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
The value of
lim
x→0
‌
5x−5−x
2x
=
The value of
lim
x→0
‌
5x−5−x
2x
=
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
Which one of the following is not true always?
Which one of the following is not true always?
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
If y=1+‌
1
x
+‌
1
x2
+‌
1
x3
+...∞ with |x|>1, then ‌
dy
dx
=
If y=1+‌
1
x
+‌
1
x2
+‌
1
x3
+...∞ with |x|>1, then ‌
dy
dx
=
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
If f(x) and g(x) are two functions with g(x)=x−‌
1
x
 and f∘g(x)=x3−‌
1
x3
, then f′(x)=
If f(x) and g(x) are two functions with g(x)=x−‌
1
x
 and f∘g(x)=x3−‌
1
x3
, then f′(x)=
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
The derivative of a secx w.r.t. atan‌x(a>0) is
The derivative of a secx w.r.t. atan‌x(a>0) is
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
If sin‌(x+y)+cos(x+y)=log(x+y), then ‌
d2y
dx2
=
If sin‌(x+y)+cos(x+y)=log(x+y), then ‌
d2y
dx2
=
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
If f(x) is a function such that f′′(x)+f(x)=0 and g(x)=[f(x)]2+[f′(x)]2 and g(3)+8, then g(8)=
If f(x) is a function such that f′′(x)+f(x)=0 and g(x)=[f(x)]2+[f′(x)]2 and g(3)+8, then g(8)=
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
If the curve y=2x3+ax2+bx+c passes through the origin and the tangents drawn to it at x=−1 and x=2 are parallel to the X-axis, then the values of a,b and c are respectively,
If the curve y=2x3+ax2+bx+c passes through the origin and the tangents drawn to it at x=−1 and x=2 are parallel to the X-axis, then the values of a,b and c are respectively,
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
A circular sector of perimeter 60m with maximum area is to be constructed, The radius of the circular arc in metre must be
A circular sector of perimeter 60m with maximum area is to be constructed, The radius of the circular arc in metre must be
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
The tangent and the normal drawn to the curve y=x2−x+4 at P(1,4) cut the X-axis at A and B respectively. If the length of the subtangent drawn to the curve at P is equal to the length of the subnormal, then the area of the △PAB in square units is,
The tangent and the normal drawn to the curve y=x2−x+4 at P(1,4) cut the X-axis at A and B respectively. If the length of the subtangent drawn to the curve at P is equal to the length of the subnormal, then the area of the △PAB in square units is,
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
∫‌
(x3+3x2+3x+1)
(x+1)5
‌dx=
∫‌
(x3+3x2+3x+1)
(x+1)5
‌dx=
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
∫‌
cosec‌x
cos2(1+log‌tan‌
x
2
)
‌dx=
∫‌
cosec‌x
cos2(1+log‌tan‌
x
2
)
‌dx=
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
∫‌
dx
x√x6−16
∫‌
dx
x√x6−16
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
If I1=
π∕2
∫
0
xsin‌x‌dx and I2=
π∕2
∫
0
x‌cos‌x‌dx, then which one of the following is true?
If I1=
π∕2
∫
0
xsin‌x‌dx and I2=
π∕2
∫
0
x‌cos‌x‌dx, then which one of the following is true?
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
If f(x) is defined in [−2,2] by f(x)=4x2−3x+1 and g(x)=‌
f(−x)−f(x)
(x2+3)
, then
2
∫
−2
g(x)‌dx=
If f(x) is defined in [−2,2] by f(x)=4x2−3x+1 and g(x)=‌
f(−x)−f(x)
(x2+3)
, then
2
∫
−2
g(x)‌dx=
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
The area enclosed between the parabola y=x2−x+2 and the line y=x+2 in sq units =
The area enclosed between the parabola y=x2−x+2 and the line y=x+2 in sq units =
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
The solution of the differential equation e−x(y+1)dy+(cos2x−sin‌2x)y(dx)=0 subjected to the condition that y=1, when x=0 is
The solution of the differential equation e−x(y+1)dy+(cos2x−sin‌2x)y(dx)=0 subjected to the condition that y=1, when x=0 is
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