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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
When a body falls in air, the resistance of air depends to a great extent on the shape of the body. Three different shapes are given

Identify the combination of air resistances which truly represents the physical situation. (The cross-sectional areas are the same
When a body falls in air, the resistance of air depends to a great extent on the shape of the body. Three different shapes are given

Identify the combination of air resistances which truly represents the physical situation. (The cross-sectional areas are the same
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The adjacent figure is the part of a horizontally stretched net. Section AB is stretched with a force of 10N.
The tensions in the sections BC and BF are
The adjacent figure is the part of a horizontally stretched net. Section AB is stretched with a force of 10N.
The tensions in the sections BC and BF are
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Out of the following four dimensional quantities, which one qualifies to be called a dimensional constant?
Out of the following four dimensional quantities, which one qualifies to be called a dimensional constant?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The relationship between the force F and position x of a body is as shown in the figure. The work done in displacing the body from x=1m to x=5m will be
The relationship between the force F and position x of a body is as shown in the figure. The work done in displacing the body from x=1m to x=5m will be
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
From the top of a tower, two stones whose masses are in the ratio 1:2 are thrown - one straight up with an initial speed u and the second straight down with the same speed u. Then, neglecting air resistance
From the top of a tower, two stones whose masses are in the ratio 1:2 are thrown - one straight up with an initial speed u and the second straight down with the same speed u. Then, neglecting air resistance
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is
If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
A student unable to answer a question on Newton's laws of motion attempts to pull himself up by tugging on his hair. He will not succeed
A student unable to answer a question on Newton's laws of motion attempts to pull himself up by tugging on his hair. He will not succeed
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
From the adjacent figure, the correct observation is
From the adjacent figure, the correct observation is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Which one of the following is not a unit of Young's modulus?
Which one of the following is not a unit of Young's modulus?
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A piece of blue glass heated to a high temperature and a piece of red glass at room temperature are taken inside a dimly lit room. Then
A piece of blue glass heated to a high temperature and a piece of red glass at room temperature are taken inside a dimly lit room. Then
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The wavelength of the radiation emitted by a body depends upon
The wavelength of the radiation emitted by a body depends upon
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
An ideal monoatomic gas is taken around the cycle ABCDA as shown in the p−V diagram. The work done during the cycle is given by
An ideal monoatomic gas is taken around the cycle ABCDA as shown in the p−V diagram. The work done during the cycle is given by
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Which mirror is to be used to obtain a parallel beam of light from a small lamp?
Which mirror is to be used to obtain a parallel beam of light from a small lamp?
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Which of the following is a wrong statement?
Which of the following is a wrong statement?
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Identify the wrong description of the below figures.
Identify the wrong description of the below figures.
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Infrared radiation was discovered in 1800 by
Infrared radiation was discovered in 1800 by
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A particle on the trough of a wave at any instant will come to the mean position after a time (T= time period)
A particle on the trough of a wave at any instant will come to the mean position after a time (T= time period)
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The disc of a siren containing 60 holes rotates at a constant speed of 360‌rpm. The emitted sound is in unison with a tuning-fork of frequency
The disc of a siren containing 60 holes rotates at a constant speed of 360‌rpm. The emitted sound is in unison with a tuning-fork of frequency
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The ratio of velocity of sound in hydrogen and oxygen at STP is
The ratio of velocity of sound in hydrogen and oxygen at STP is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
In an experiment with sonometer a tuning fork of frequency 256‌Hz resonates with a length of 25‌cm and another tuning fork resonates with a length of 16‌cm. Tension of the string remaining constant the frequency of the second tuning fork is
In an experiment with sonometer a tuning fork of frequency 256‌Hz resonates with a length of 25‌cm and another tuning fork resonates with a length of 16‌cm. Tension of the string remaining constant the frequency of the second tuning fork is
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The apparent frequency of a note is 200‌Hz. When a listener is moving with a velocity of 40ms−1 towards a stationary source. When he moves away from the same source with the same speed, the apparent frequency of the same note is 160‌Hz. The velocity of sound in air (in m∕ s ) is
The apparent frequency of a note is 200‌Hz. When a listener is moving with a velocity of 40ms−1 towards a stationary source. When he moves away from the same source with the same speed, the apparent frequency of the same note is 160‌Hz. The velocity of sound in air (in m∕ s ) is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
The wave theory of light, in its original form, was first postulated by
The wave theory of light, in its original form, was first postulated by
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
If a liquid does not wet glass, its angle of contact is
If a liquid does not wet glass, its angle of contact is
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The magnitude of I in ampere unit is
The magnitude of I in ampere unit is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Electron of mass m and charge q is travelling with a speed v along a circular path of radius r at right angles to a uniform magnetic field of intensity B. If the speed of the electron is doubled and the magnetic field is halved, then the resulting path would have a radius
Electron of mass m and charge q is travelling with a speed v along a circular path of radius r at right angles to a uniform magnetic field of intensity B. If the speed of the electron is doubled and the magnetic field is halved, then the resulting path would have a radius
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
If the potential difference across the internal resistance r1 is equal to the emf‌E of the battery, then
If the potential difference across the internal resistance r1 is equal to the emf‌E of the battery, then
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
By using only two resistance coils-singly, in series, or in parallel-one should be able to obtain resistances of 3,4,12 and 16 ohms. The separate resistances of the coil are
By using only two resistance coils-singly, in series, or in parallel-one should be able to obtain resistances of 3,4,12 and 16 ohms. The separate resistances of the coil are
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The electrons in the beam of a television tube move horizontally from South to North. The vertical component of the earth's magnetic field points down. The electron is deflected towards
The electrons in the beam of a television tube move horizontally from South to North. The vertical component of the earth's magnetic field points down. The electron is deflected towards
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A tangent galvanometer has a reduction factor of 1A and it is placed with the plane of its coil perpendicular to the magnetic meridian. The deflection produced when a current of 1A is passed through it is
A tangent galvanometer has a reduction factor of 1A and it is placed with the plane of its coil perpendicular to the magnetic meridian. The deflection produced when a current of 1A is passed through it is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
In the given circuit, the voltmeter records 5V. The resistance of the voltmeter (in ohms) is
In the given circuit, the voltmeter records 5V. The resistance of the voltmeter (in ohms) is
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Three long, straight and parallel wires, carrying current, are arranged as shown in figure.

The force experienced by a 25‌cm length of wire C is
Three long, straight and parallel wires, carrying current, are arranged as shown in figure.

The force experienced by a 25‌cm length of wire C is
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A 5.0 A current is setup in an external circuit by a 6.0V storage battery for 6.0‌min. The chemical energy of the battery is reduced by
A 5.0 A current is setup in an external circuit by a 6.0V storage battery for 6.0‌min. The chemical energy of the battery is reduced by
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
The current in a simple series circuit is 5.0A. When an additional resistance of 2.0Ω is inserted, the current drops to 4.0A. The original resistance of the circuit (in Ω ) is
The current in a simple series circuit is 5.0A. When an additional resistance of 2.0Ω is inserted, the current drops to 4.0A. The original resistance of the circuit (in Ω ) is
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
In the circuit given E=6.0V,R1=100Ω R2=R3=50Ω and R4=75Ω.
The equivalent resistance of the circuit (in Ω) is
In the circuit given E=6.0V,R1=100Ω R2=R3=50Ω and R4=75Ω.
The equivalent resistance of the circuit (in Ω) is
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
Two resistances are connected in two gaps of a meter bridge. The balance point is 20‌cm from the zero end. A resistance of 15Ω is connected in series with the smaller of the two. The null point shifts to 40‌cm. The value of the smaller resistance (in Ω ) is
Two resistances are connected in two gaps of a meter bridge. The balance point is 20‌cm from the zero end. A resistance of 15Ω is connected in series with the smaller of the two. The null point shifts to 40‌cm. The value of the smaller resistance (in Ω ) is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
In an ammeter 10% of main current is passing through the galvanometer. If the resistance of the galvanometer is G, then the shunt resistance (in Ω) is
In an ammeter 10% of main current is passing through the galvanometer. If the resistance of the galvanometer is G, then the shunt resistance (in Ω) is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
In an ammeter 10% of main current is passing through the galvanometer. If the resistance of the galvanometer is G, then the shunt resistance (in Ω) is
In an ammeter 10% of main current is passing through the galvanometer. If the resistance of the galvanometer is G, then the shunt resistance (in Ω) is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Among the following properties describing diamagnetism identify the property that is wrongly stated.
I. Diamagnetic material do not have permanent magnetic moment.
II. Diamagnetism is explained in terms of electromagnetic induction.
III. Diamagnetic materials have a small positive susceptibility.
IV. The magnetic moment of individual electrons neutralise each other.
Among the following properties describing diamagnetism identify the property that is wrongly stated.
I. Diamagnetic material do not have permanent magnetic moment.
II. Diamagnetism is explained in terms of electromagnetic induction.
III. Diamagnetic materials have a small positive susceptibility.
IV. The magnetic moment of individual electrons neutralise each other.
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The induction coil works on the principle of
The induction coil works on the principle of
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The square root of the product of inductance and capacitance has the dimension of
The square root of the product of inductance and capacitance has the dimension of
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The electric flux for Gaussian surface A that enclose the charged particles in free space is
(Given, q1=−14‌nC,q2=78.85‌nC,q3=−56‌nC )
The electric flux for Gaussian surface A that enclose the charged particles in free space is
(Given, q1=−14‌nC,q2=78.85‌nC,q3=−56‌nC )
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Four metal conductors having different shapes a sphere, cylindrical, pear, lightning conductor are mounted on insulating stands and charged. The one which is best suited to retain the charges for a longer time is
Four metal conductors having different shapes a sphere, cylindrical, pear, lightning conductor are mounted on insulating stands and charged. The one which is best suited to retain the charges for a longer time is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
The potential to which a conductor is raised, depends on
The potential to which a conductor is raised, depends on
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
The work done in carrying a charge q once round a circle of radius r with a charge Q at the centre is
The work done in carrying a charge q once round a circle of radius r with a charge Q at the centre is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
An air filled parallel plate condenser has a capacity of 2‌pF. The separation of the plates is doubled and the interspace between the plates is filled with wax. If the capacity is increased to 6‌pF, then the dielectric constant of wax is
An air filled parallel plate condenser has a capacity of 2‌pF. The separation of the plates is doubled and the interspace between the plates is filled with wax. If the capacity is increased to 6‌pF, then the dielectric constant of wax is
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
Identify the wrong statement in the following. Coulomb's law correctly describes the electric force that
Identify the wrong statement in the following. Coulomb's law correctly describes the electric force that
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A single slit of width a is illuminated by violet light of wavelength 400‌nm and the width of the diffraction pattern is measured as y. When half of the slit width is covered and illuminated by yellow light of wavelength 600‌nm, the width of the diffraction pattern is
A single slit of width a is illuminated by violet light of wavelength 400‌nm and the width of the diffraction pattern is measured as y. When half of the slit width is covered and illuminated by yellow light of wavelength 600‌nm, the width of the diffraction pattern is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
At Kavalur in India, the astronomers using a telescope whose objective had a diameter of one metre started using a telescope of diameter 2.54m. This resulted in
At Kavalur in India, the astronomers using a telescope whose objective had a diameter of one metre started using a telescope of diameter 2.54m. This resulted in
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
When unpolarised light beam is incident from air onto glass (n=1.5) at the polarising angle
When unpolarised light beam is incident from air onto glass (n=1.5) at the polarising angle
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Select the correct statement from the following.
Select the correct statement from the following.
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Two coherent light beams of intensity I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are
Two coherent light beams of intensity I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
From the figure describing photoelectric effect we may infer correctly that
From the figure describing photoelectric effect we may infer correctly that
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
The electron in a hydrogen atom makes a transition from n=n1 to n=n2 state. The time period of the electron in the initial state n1 is eight times that in the final state n2. The possible values of n1 and n2 are
The electron in a hydrogen atom makes a transition from n=n1 to n=n2 state. The time period of the electron in the initial state n1 is eight times that in the final state n2. The possible values of n1 and n2 are
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
If the forward voltage in a diode is increased, then the width of the depletion region
If the forward voltage in a diode is increased, then the width of the depletion region
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Two nucleons are at a separation of one Fermi. Protons have a charge of +1.6×10−19C. The net nuclear force between them is F1, if both are neutrons, F2 if both are protons and F3 if one is proton and the other is neutron. Then,
Two nucleons are at a separation of one Fermi. Protons have a charge of +1.6×10−19C. The net nuclear force between them is F1, if both are neutrons, F2 if both are protons and F3 if one is proton and the other is neutron. Then,
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The energy that should be added to an electron to reduce its de-Broglie wavelength from 1‌nm to 0.5‌nm is
The energy that should be added to an electron to reduce its de-Broglie wavelength from 1‌nm to 0.5‌nm is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Mean life of a radioactive sample is 100 s. Then, its half-life (in min ) is
Mean life of a radioactive sample is 100 s. Then, its half-life (in min ) is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Consider two nuclei of the same radioactive nuclide. One of the nuclei was created in a supernova explosion 5 billion years ago. The other was created in a nuclear reactor 5‌min ago. The probability of decay during the next time is
Consider two nuclei of the same radioactive nuclide. One of the nuclei was created in a supernova explosion 5 billion years ago. The other was created in a nuclear reactor 5‌min ago. The probability of decay during the next time is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Bohr's atom model assumes
Bohr's atom model assumes
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Identify the property which is not characteristic for a semi-conductor.
Identify the property which is not characteristic for a semi-conductor.
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
The correct order in which the first ionisation potential increases is
The correct order in which the first ionisation potential increases is
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
10cm3 of 0.1N monobasic acid requires 15cm3 of sodium hydroxide solution whose normality is
10cm3 of 0.1N monobasic acid requires 15cm3 of sodium hydroxide solution whose normality is
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
The IUPAC name for tertiary butyl iodide is
The IUPAC name for tertiary butyl iodide is
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
When sulphur dioxide is passed in an acidified K2Cr2O7 solution, the oxidation state of sulphur is changed from
When sulphur dioxide is passed in an acidified K2Cr2O7 solution, the oxidation state of sulphur is changed from
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Mass of 0.1 mole of methane is
Mass of 0.1 mole of methane is
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Methoxy methane and ethanol are
Methoxy methane and ethanol are
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
When the azimuthal quantum number has the value of 2 , the number of orbitals possible are
When the azimuthal quantum number has the value of 2 , the number of orbitals possible are
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
For the reaction,
Fe2O3+3‌CO→2‌Fe+3CO2, the volume of carbon monoxide required to reduce one mole of ferric oxide is
For the reaction,
Fe2O3+3‌CO→2‌Fe+3CO2, the volume of carbon monoxide required to reduce one mole of ferric oxide is
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The monomers of buna-S rubber are
The monomers of buna-S rubber are
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
An element with atomic number 21 is a
An element with atomic number 21 is a
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
The maximum number of hydrogen bonds that a molecule of water can have is
The maximum number of hydrogen bonds that a molecule of water can have is
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
A gas deviates from ideal behaviour at a high pressure because its molecules
A gas deviates from ideal behaviour at a high pressure because its molecules
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The reagent used to convert an alkyne to alkene is
The reagent used to convert an alkyne to alkene is
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
When, compared to ∆G∘ for the formation of Al2O3, the ∆G∘ for the formation of Cr2O3 is
When, compared to ∆G∘ for the formation of Al2O3, the ∆G∘ for the formation of Cr2O3 is
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
In order to increase the volume of a gas by 10%, the pressure of the gas should be
In order to increase the volume of a gas by 10%, the pressure of the gas should be
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Catalytic dehydrogenation of a primary alcohol gives a/an
Catalytic dehydrogenation of a primary alcohol gives a/an
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
Excess of PCl5 reacts with conc. H2SO4 giving
Excess of PCl5 reacts with conc. H2SO4 giving
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
If one mole of ammonia and one mole of hydrogen chloride are mixed in a closed container to form ammonium chloride gas, then
If one mole of ammonia and one mole of hydrogen chloride are mixed in a closed container to form ammonium chloride gas, then
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
The compound on dehydrogenation gives a ketone. The original compound is
The compound on dehydrogenation gives a ketone. The original compound is
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Which is the most easily liquefiable rare gas?
Which is the most easily liquefiable rare gas?
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
Mesomeric effect involves delocalisation of
Mesomeric effect involves delocalisation of
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Which of the following has the maximum number of unpaired d-electrons?
Which of the following has the maximum number of unpaired d-electrons?
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
One mole of which of the following has the highest entropy?
One mole of which of the following has the highest entropy?
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
Which of the following species does not exert a resonance effect?
Which of the following species does not exert a resonance effect?
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
A complex compound in which the oxidation number of a metal is zero, is
A complex compound in which the oxidation number of a metal is zero, is
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
Three moles of PCl5, three moles of PCl3 and two moles of Cl2 are taken in a closed vessel. If at equilibrium the vessel has 1.5 moles of PCl5, the number of moles of PCl3 present in it is
Three moles of PCl5, three moles of PCl3 and two moles of Cl2 are taken in a closed vessel. If at equilibrium the vessel has 1.5 moles of PCl5, the number of moles of PCl3 present in it is
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
How many optically active stereomers are possible for butan-2, 3-diol?
How many optically active stereomers are possible for butan-2, 3-diol?
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
An octahedral complex is formed when hybrid orbitals of the following type are involved
An octahedral complex is formed when hybrid orbitals of the following type are involved
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
For the reaction, 2‌HI(g)⇌H2(g)+I2(g);−Q‌kJ, the equilibrium constant depends upon
For the reaction, 2‌HI(g)⇌H2(g)+I2(g);−Q‌kJ, the equilibrium constant depends upon
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
The angle strain in cyclobutane is
The angle strain in cyclobutane is
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
The number of nodal planes present in σ*s-antibonding orbital is
The number of nodal planes present in σ*s-antibonding orbital is
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
Which of the following electrolytic solution has the least specific conductance?
Which of the following electrolytic solution has the least specific conductance?
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
The overlapping of orbitals in benzene is of the type
The overlapping of orbitals in benzene is of the type
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
The calculated bond order of superoxide ion (O2−)is
The calculated bond order of superoxide ion (O2−)is
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
Which of the following can be measured by the Ostwald-Walker dynamic method?
Which of the following can be measured by the Ostwald-Walker dynamic method?
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
n-propyl bromide on treating with alcoholic KOH produces
n-propyl bromide on treating with alcoholic KOH produces
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
Mercury is a liquid metal because
Mercury is a liquid metal because
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
A compound is formed by elements A and B. This crystallises in the cubic structure, where the A atoms are at the corners of the cube and B atoms are at the body centres.
A compound is formed by elements A and B. This crystallises in the cubic structure, where the A atoms are at the corners of the cube and B atoms are at the body centres.
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Anisole can be prepared by the action of methyl iodide on sodium phenate. The reaction is called
Anisole can be prepared by the action of methyl iodide on sodium phenate. The reaction is called
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
Malleability and ductility of metals can be accounted due to
Malleability and ductility of metals can be accounted due to
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
An ionic compound is expected to have tetrahedral structure if r+∕r−lies in the range of
An ionic compound is expected to have tetrahedral structure if r+∕r−lies in the range of
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Among the following, which is least acidic?
Among the following, which is least acidic?
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
A ligand can also be regarded as
A ligand can also be regarded as
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
The colour of sky is due to
The colour of sky is due to
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
Which of the following organic compounds answers to both iodoform test and Fehling's test?
Which of the following organic compounds answers to both iodoform test and Fehling's test?
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
Helium is used in balloons in place of hydrogen because it is
Helium is used in balloons in place of hydrogen because it is
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The basic principle of Cottnell's precipitator is
The basic principle of Cottnell's precipitator is
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
When carbon monoxide is passed over solid caustic soda heated to 200∘C, it forms
When carbon monoxide is passed over solid caustic soda heated to 200∘C, it forms
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
N2+3H2⇌2NH3+ Heat. What is the effect of the increase of temperature on the equilibrium of the reaction?
N2+3H2⇌2NH3+ Heat. What is the effect of the increase of temperature on the equilibrium of the reaction?
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
Hydrogen gas is not liberated when the following metal is added to dil. HCl
Hydrogen gas is not liberated when the following metal is added to dil. HCl
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Consider the Born-Haber cycle for the formation of an ionic compound, given below and identify the compound (Z) formed.
Consider the Born-Haber cycle for the formation of an ionic compound, given below and identify the compound (Z) formed.
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
In the brown ring test, the brown colour of the ring is due to
In the brown ring test, the brown colour of the ring is due to
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
Amines behave as
Amines behave as
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
Dalda is prepared from oils by
Dalda is prepared from oils by
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
The chemical name of anisole is
The chemical name of anisole is
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
The number of disulphide linkages present in insulin are
The number of disulphide linkages present in insulin are
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
80g of oxygen contains as many atoms as in
80g of oxygen contains as many atoms as in
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
Which metal has a greater tendency to form metal oxide?
Which metal has a greater tendency to form metal oxide?
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Identify the reaction that does not take place in a blast furnace.
Identify the reaction that does not take place in a blast furnace.
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
Waxes are esters of
Waxes are esters of
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
Which of the following is an even function?
Which of the following is an even function?
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
If A={x:x2−x+2>0} and B={x:x2−4x+3≤0}, then A∩B is
If A={x:x2−x+2>0} and B={x:x2−4x+3≤0}, then A∩B is
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
If * be a binary operation on a set A and e be the identity element w.r.t. *, then b∈A is said to be inverse of a∈A w.r.t. *, if
If * be a binary operation on a set A and e be the identity element w.r.t. *, then b∈A is said to be inverse of a∈A w.r.t. *, if
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If in a △ABC,∠C=‌
π
2
, then
tan−1(‌
a
b+c
)+tan−1(‌
b
c+a
)=
If in a △ABC,∠C=‌
π
2
, then
tan−1(‌
a
b+c
)+tan−1(‌
b
c+a
)=
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
The sides a,b,c of a triangle are in AP. If cos‌α=‌
a
b+c
,cos‌β=‌
b
c+a
,cos‌γ=‌
c
a+b
 then tan2‌
α
2
+tan2‌
γ
2
=
The sides a,b,c of a triangle are in AP. If cos‌α=‌
a
b+c
,cos‌β=‌
b
c+a
,cos‌γ=‌
c
a+b
 then tan2‌
α
2
+tan2‌
γ
2
=
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
.The value of cos(35∘+A)‌cos(35∘−B) +sin‌(35∘+A)sin‌(35∘−B) is equal to
.The value of cos(35∘+A)‌cos(35∘−B) +sin‌(35∘+A)sin‌(35∘−B) is equal to
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
The value of 2‌cosec‌2‌x+cosec‌x is equal to
The value of 2‌cosec‌2‌x+cosec‌x is equal to
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
The value of cot‌2‌x‌cot‌x−cot‌3‌x‌cot‌2‌x −cot‌3‌x‌cot‌x is equal to
The value of cot‌2‌x‌cot‌x−cot‌3‌x‌cot‌2‌x −cot‌3‌x‌cot‌x is equal to
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
The value of cos(‌
π
4
−x)‌cos(‌
π
4
−y) −sin‌(‌
π
4
−x)sin‌(‌
π
4
−y) is equal to
The value of cos(‌
π
4
−x)‌cos(‌
π
4
−y) −sin‌(‌
π
4
−x)sin‌(‌
π
4
−y) is equal to
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
For all n∈N,2⋅42n+1+33n+1 is divisible by
For all n∈N,2⋅42n+1+33n+1 is divisible by
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
The statement P(n):11×1!+2×2!+3×3 ! +...+n×n!=(n+1)!−1′ is
The statement P(n):11×1!+2×2!+3×3 ! +...+n×n!=(n+1)!−1′ is
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
If z=reiθ, then eiz=
If z=reiθ, then eiz=
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
If (√5+√3i)33=249z, then modulus of the complex number z is equal to
If (√5+√3i)33=249z, then modulus of the complex number z is equal to
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
The modulus of [1−cos‌θ+isin‌θ]−1 is
The modulus of [1−cos‌θ+isin‌θ]−1 is
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
If a,b,c are real numbers and ω is a complex cube root of unity such that a+bω+cω2=0, then
If a,b,c are real numbers and ω is a complex cube root of unity such that a+bω+cω2=0, then
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
If the cube roots of unity are 1,ω,ω2, then the roots of the equation (x−1)3+8=0 are
If the cube roots of unity are 1,ω,ω2, then the roots of the equation (x−1)3+8=0 are
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
Let α,β be the roots of the equation ax2+bx+c=0. A root of the equation a3x2+abcx+c3=0 is
Let α,β be the roots of the equation ax2+bx+c=0. A root of the equation a3x2+abcx+c3=0 is
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
- The sum of all 4-digit numbers that can be formed by using the digits 2,4,6,8 (repetition of digits is not allowed) is
- The sum of all 4-digit numbers that can be formed by using the digits 2,4,6,8 (repetition of digits is not allowed) is
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
In how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row, if the discs of the same colour are indistinguishable?
In how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row, if the discs of the same colour are indistinguishable?
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
Find the number of ways of choosing 4 face cards from a pack of 52 playing cards.
Find the number of ways of choosing 4 face cards from a pack of 52 playing cards.
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
Given, the positive integers r>1,n>2 and the coefficients of (3r) th and (r+2) th terms in the expansion of (1+x)2n are equal, then n=
Given, the positive integers r>1,n>2 and the coefficients of (3r) th and (r+2) th terms in the expansion of (1+x)2n are equal, then n=
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
Let the HM and GM of two positive numbers a and b be in the ratio 4:5, then a:b is
Let the HM and GM of two positive numbers a and b be in the ratio 4:5, then a:b is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
If 2,7,9,5 are subtracted respectively from four numbers forming a GP, the resulting numbers are in AP, then the smallest of the four numbers is
If 2,7,9,5 are subtracted respectively from four numbers forming a GP, the resulting numbers are in AP, then the smallest of the four numbers is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
‌
1
3!
+‌
2
5!
+‌
3
7!
+... to ∞ is equal to
‌
1
3!
+‌
2
5!
+‌
3
7!
+... to ∞ is equal to
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
Let PQR be a right angled isosceles triangle, right angled at P(2,1). If the equation of QR is 2x+y=3, then the combined equation of the lines PQ and PR is
Let PQR be a right angled isosceles triangle, right angled at P(2,1). If the equation of QR is 2x+y=3, then the combined equation of the lines PQ and PR is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
The sides of a triangle are x=2,y+1=0 and x+2y=4. Its circumcentre is
The sides of a triangle are x=2,y+1=0 and x+2y=4. Its circumcentre is
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
Find the coordinates of the foci and the length of the latusrectum of the hyperbola.
‌
x2
9
−‌
y2
16
=1
Find the coordinates of the foci and the length of the latusrectum of the hyperbola.
‌
x2
9
−‌
y2
16
=1
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
-The line 21x+5y=116 is a tangent to the hyperbola 7x2−5y2=232. Its point of contact is
-The line 21x+5y=116 is a tangent to the hyperbola 7x2−5y2=232. Its point of contact is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
Chords of the circle x2+y2=r2 touch the hyperbola ‌
x2
a2
−‌
y2
b2
=1. The locus of the mid-points of the chords is
Chords of the circle x2+y2=r2 touch the hyperbola ‌
x2
a2
−‌
y2
b2
=1. The locus of the mid-points of the chords is
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If the latusrectum of a hyperbola subtends a right angle at the other focus, then its eccentricity is
If the latusrectum of a hyperbola subtends a right angle at the other focus, then its eccentricity is
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
From the point (0,1) two tangents are dawn to the hyperbola 2x2−y2=1. If θ is the angle between them, then tan‌θ=
From the point (0,1) two tangents are dawn to the hyperbola 2x2−y2=1. If θ is the angle between them, then tan‌θ=
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
Let (3,4,−1) and (−1,2,3) be the end points of a diameter of a sphere. Then, the radius of the sphere is equal to
Let (3,4,−1) and (−1,2,3) be the end points of a diameter of a sphere. Then, the radius of the sphere is equal to
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
Differentiate cos−1(‌
1−x
1+x
) w.r.t. x.
Differentiate cos−1(‌
1−x
1+x
) w.r.t. x.
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
f(x)=(‌
5
x
+7), where x≠0 is decreasing for
f(x)=(‌
5
x
+7), where x≠0 is decreasing for
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
Find the approximate value of (15)‌
1
4
.
Find the approximate value of (15)‌
1
4
.
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
Find the point on the curve y=x2, where the slope of the tangent is equal to the x coordinate of the point.
Find the point on the curve y=x2, where the slope of the tangent is equal to the x coordinate of the point.
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
Find the equations of the tangent and the normal to the curve y=‌
x3
4−x
 at (2,4).
Find the equations of the tangent and the normal to the curve y=‌
x3
4−x
 at (2,4).
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
If y=logax+logxa+logxx+logaa, then ‌
dy
dx
 is equal to
If y=logax+logxa+logxx+logaa, then ‌
dy
dx
 is equal to
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
Evaluate ∫‌
1
sin‌x+√3‌cos‌x
‌dx.
Evaluate ∫‌
1
sin‌x+√3‌cos‌x
‌dx.
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
The value of ∫e2x(2sin‌3x+3‌cos‌3‌x)‌dx is
The value of ∫e2x(2sin‌3x+3‌cos‌3‌x)‌dx is
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
Evaluate
2
∫
1
‌
dx
x2
Evaluate
2
∫
1
‌
dx
x2
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
Evaluate
π∕2
∫
0
‌
cos‌x
(cos‌
x
2
+sin‌‌
x
2
)3
‌dx
Evaluate
π∕2
∫
0
‌
cos‌x
(cos‌
x
2
+sin‌‌
x
2
)3
‌dx
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
. To area bounded by the lines |x|+|y|=1
. To area bounded by the lines |x|+|y|=1
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
The value of ∫‌
dx
√x+‌3√x
 is
The value of ∫‌
dx
√x+‌3√x
 is
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
If
b
∫
a
‌
xn
xn+(16−x)n
‌dx=6, then
If
b
∫
a
‌
xn
xn+(16−x)n
‌dx=6, then
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
π∕4
∫
−π∕4
‌
dx
1+cos‌2‌x
 is equal to
π∕4
∫
−π∕4
‌
dx
1+cos‌2‌x
 is equal to
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
The differential equation of y=aebx+c is
The differential equation of y=aebx+c is
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
If a=
^
i
+
^
j
+2
^
k
 and b=3
^
i
+2
^
j
−
^
k
, then find (a+3b)⋅(2a−b).
If a=
^
i
+
^
j
+2
^
k
 and b=3
^
i
+2
^
j
−
^
k
, then find (a+3b)⋅(2a−b).
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
-The value of [
a−bb−cc−a
], where |a|=1, |b|=5|c|=3, is
-The value of [
a−bb−cc−a
], where |a|=1, |b|=5|c|=3, is
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
If A=[
2−3
5−7
], then A+A−1=
If A=[
2−3
5−7
], then A+A−1=
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
If A=[
cos‌θ−sin‌θ0
sin‌θcos‌θ0
001
], then minor and cofactor of a32 are
If A=[
cos‌θ−sin‌θ0
sin‌θcos‌θ0
001
], then minor and cofactor of a32 are
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
An anti-aircraft gun can take a maximum of 4 shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are 0.4,0.3,0.2, 0.1 respectively. The probability that the gun hits the plane is
An anti-aircraft gun can take a maximum of 4 shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are 0.4,0.3,0.2, 0.1 respectively. The probability that the gun hits the plane is
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
The negation of the statement "If I become a teacher, then I will open a school", is
The negation of the statement "If I become a teacher, then I will open a school", is
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
Maximize Z=7x1−3x2 subject to, x1+2x2≤2,2x1+4x2≥8,x1≥0,x2≥0.
Maximize Z=7x1−3x2 subject to, x1+2x2≤2,2x1+4x2≥8,x1≥0,x2≥0.
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
Find the transformed equation of the straight line xy−x−y+1=0, when the origin is shifted to the point (1,1) after translation of axes.
Find the transformed equation of the straight line xy−x−y+1=0, when the origin is shifted to the point (1,1) after translation of axes.
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
If log6a+log6b+log6c=6, where a,b and c are positive integers that form an increasing GP and b−a is a square of an integer, then a+b+c=
If log6a+log6b+log6c=6, where a,b and c are positive integers that form an increasing GP and b−a is a square of an integer, then a+b+c=
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
A random variable X has the following probability distribution :

Find the c.d.f. of X
A random variable X has the following probability distribution :

Find the c.d.f. of X
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
From a lot of 20 items containing 4 defective items, 2 items are drawn at random. If X denotes the number of defective items, then find the mean of the probability distribution of X.
From a lot of 20 items containing 4 defective items, 2 items are drawn at random. If X denotes the number of defective items, then find the mean of the probability distribution of X.
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
The total number of subsets of a finite set A has 56 more elements than the total number of subsets of another finite set B. What is the number of elements in the set A ?
The total number of subsets of a finite set A has 56 more elements than the total number of subsets of another finite set B. What is the number of elements in the set A ?
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
If log42+log44+log4x+log416=6, then the value of x is
If log42+log44+log4x+log416=6, then the value of x is
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