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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The difference between the apparent frequency of a source of sound as perceived by the observer during its approach and recession is 2% of the frequency of the source. If the speed of sound in air is 300ms−1, then the velocity of the source is
The difference between the apparent frequency of a source of sound as perceived by the observer during its approach and recession is 2% of the frequency of the source. If the speed of sound in air is 300ms−1, then the velocity of the source is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Three long straight wires A,B and C are carrying currents as shown in figure, then the resultant force on B is directed
Three long straight wires A,B and C are carrying currents as shown in figure, then the resultant force on B is directed
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Curie-Weiss law is obeyed by iron
Curie-Weiss law is obeyed by iron
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
A magnet N−S is suspended from a spring and when it oscillates, the magnet moves in and out of the coil C. The coil is connected to a galvanometer G, then as the magnet oscillates

A magnet N−S is suspended from a spring and when it oscillates, the magnet moves in and out of the coil C. The coil is connected to a galvanometer G, then as the magnet oscillates

Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The dimensional formula for inductance is
The dimensional formula for inductance is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The maximum current that can be measured by a galvanometer of resistance 40Ω, is 10‌mA. It is converted into a voltmeter that can read upto 50V. The resistance to be connected in series with the galvanometer (in Ω) is
The maximum current that can be measured by a galvanometer of resistance 40Ω, is 10‌mA. It is converted into a voltmeter that can read upto 50V. The resistance to be connected in series with the galvanometer (in Ω) is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The spectrum obtained from the chromosphere of the sun at the time of total solar eclipse is
The spectrum obtained from the chromosphere of the sun at the time of total solar eclipse is
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Heavy water is
Heavy water is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The nuclear reactor at Kaiga is a
The nuclear reactor at Kaiga is a
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
When a body moves in a circular path, no work is done by the force since
When a body moves in a circular path, no work is done by the force since
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
A bullet moving with a speed of 100ms−1‌can just penetrate two planks of equal thickness, then the number of such planks penetrated by the same bullet when the speed is doubled will be
A bullet moving with a speed of 100ms−1‌can just penetrate two planks of equal thickness, then the number of such planks penetrated by the same bullet when the speed is doubled will be
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Two bodies of masses 1‌kg and 2‌kg have equal momentum, then the ratio of their kinetic energies is
Two bodies of masses 1‌kg and 2‌kg have equal momentum, then the ratio of their kinetic energies is
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Absorption coefficient of an open window is
Absorption coefficient of an open window is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The loudness and pitch of a sound note depend on
The loudness and pitch of a sound note depend on
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
In Melde's experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the string are in the ratio
In Melde's experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the string are in the ratio
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
An electron is accelerated through a potential difference of 45.5V. The velocity acquired by it is (in ms−1 )
An electron is accelerated through a potential difference of 45.5V. The velocity acquired by it is (in ms−1 )
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
An unknown resistance R1 is connected in series with a resistance of 10Ω. This combination is connected to one gap of a meter bridge, while a resistance R2 is connected in the other gap. The balance point is at 50‌cm. Now, when the 10Ω resistance is removed, the balance point shifts to 40‌cm. The value of R1 (in Ω ) is
An unknown resistance R1 is connected in series with a resistance of 10Ω. This combination is connected to one gap of a meter bridge, while a resistance R2 is connected in the other gap. The balance point is at 50‌cm. Now, when the 10Ω resistance is removed, the balance point shifts to 40‌cm. The value of R1 (in Ω ) is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
In the circuit shown, the internal resistance of the cell is negligible. The steady state current in the 2Ω resistor is
In the circuit shown, the internal resistance of the cell is negligible. The steady state current in the 2Ω resistor is
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A rectangular coil of 300 turns has an average area of 25‌cm×10‌cm. The coil rotates with a speed of 50‌cps in uniform magnetic field of strength 4×10−2T about an axis perpendicular to the field. The peak value of the induced emf (in V ) is
A rectangular coil of 300 turns has an average area of 25‌cm×10‌cm. The coil rotates with a speed of 50‌cps in uniform magnetic field of strength 4×10−2T about an axis perpendicular to the field. The peak value of the induced emf (in V ) is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
In an L−C−R circuit, the potential difference between the terminals of the inductance is 60V, between the terminals of the capacitor is 30V and that between the terminals of resistance is 40V. The supply voltage will be equal to
In an L−C−R circuit, the potential difference between the terminals of the inductance is 60V, between the terminals of the capacitor is 30V and that between the terminals of resistance is 40V. The supply voltage will be equal to
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A vertical circular coil of radius 0.1m and having 10 turns carries a steady current. When the plane of the coil is normal to the magnetic meridian, a neutral point is observed at the centre of the coil. If BH=0.314×10−4T, the current in the coil is
A vertical circular coil of radius 0.1m and having 10 turns carries a steady current. When the plane of the coil is normal to the magnetic meridian, a neutral point is observed at the centre of the coil. If BH=0.314×10−4T, the current in the coil is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A thread is tied slightly loose to a wire frame as shown in figure and the frame is dipped into a soap solution and taken out. The frame is completely covered with the film. When the portion A is punctured with a pin, the thread
A thread is tied slightly loose to a wire frame as shown in figure and the frame is dipped into a soap solution and taken out. The frame is completely covered with the film. When the portion A is punctured with a pin, the thread
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is
Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
If two waves of the same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the waves differ in phase by
If two waves of the same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the waves differ in phase by
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A man, standing between two cliffs, claps his hands and starts hearing a series of echoes at intervals of one second. If the speed of sound in air is 340ms−1, then the distance between the cliffs is
A man, standing between two cliffs, claps his hands and starts hearing a series of echoes at intervals of one second. If the speed of sound in air is 340ms−1, then the distance between the cliffs is
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A beam of light of wavelength 600‌nm from a source falls on a single slit 1‌mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between the first dark fringes on either side of the central bright fringe is
A beam of light of wavelength 600‌nm from a source falls on a single slit 1‌mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between the first dark fringes on either side of the central bright fringe is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The pair of quantities having same dimensions is
The pair of quantities having same dimensions is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The displacement x (in m ) of a particle of mass m (in kg ) moving in one dimension under the action of a force, is related to time t (in s) by t=√x+3. The displacement of the particle when its velocity is zero, will be
The displacement x (in m ) of a particle of mass m (in kg ) moving in one dimension under the action of a force, is related to time t (in s) by t=√x+3. The displacement of the particle when its velocity is zero, will be
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Vectors A,B and C are such that A⋅B=0 and A⋅C=0, then the vector parallel to A is
Vectors A,B and C are such that A⋅B=0 and A⋅C=0, then the vector parallel to A is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The primary of a transformer when connected to a DC battery of 10V draws a current of 1‌mA. The number of turns of the primary and secondary windings are 50 and 100 , respectively. The voltage in the secondary and the current drawn by the circuit in the secondary are respectively
The primary of a transformer when connected to a DC battery of 10V draws a current of 1‌mA. The number of turns of the primary and secondary windings are 50 and 100 , respectively. The voltage in the secondary and the current drawn by the circuit in the secondary are respectively
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
One coolie takes 1 min to raise a suitcase through a height of 2m but the second coolie takes 30 s to raise the same suitcase to the same height. The powers of two coolies are in the ratio.
One coolie takes 1 min to raise a suitcase through a height of 2m but the second coolie takes 30 s to raise the same suitcase to the same height. The powers of two coolies are in the ratio.
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
An electric dipole of dipole moment p is aligned parallel to a uniform electric field E. The energy required to rotate the dipole by 90∘ is
An electric dipole of dipole moment p is aligned parallel to a uniform electric field E. The energy required to rotate the dipole by 90∘ is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A car is moving in a circular horizontal track of radius 10m with a constant speed of 10m∕ s. A bob is suspended from the roof of the car by a light wire of length 1.0m. The angle made by the wire with the vertical is
A car is moving in a circular horizontal track of radius 10m with a constant speed of 10m∕ s. A bob is suspended from the roof of the car by a light wire of length 1.0m. The angle made by the wire with the vertical is
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The radius of a planet is twice the radius of earth. Both have almost equal average mass-densities. vp and ve are escape velocities of the planet and the earth, respectively, then
The radius of a planet is twice the radius of earth. Both have almost equal average mass-densities. vp and ve are escape velocities of the planet and the earth, respectively, then
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are p,q and s respectively, then the corresponding ratio of increase in their lengths would be
If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are p,q and s respectively, then the corresponding ratio of increase in their lengths would be
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?
Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
A particle of mass m is kept at rest at a height 3R from the surface of earth, where R is radius of earth and M is mass of earth. The minimum speed with which it should be projected, so that it does not return back, is ( g is acceleration due to gravity on the surface of earth)
A particle of mass m is kept at rest at a height 3R from the surface of earth, where R is radius of earth and M is mass of earth. The minimum speed with which it should be projected, so that it does not return back, is ( g is acceleration due to gravity on the surface of earth)
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
H-polaroid is prepared by
H-polaroid is prepared by
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
SI unit of permittivity is
SI unit of permittivity is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A spherical drop of capacitance 1µF is broken into eight drops of equal radius, then the capacitance of each small drop is
A spherical drop of capacitance 1µF is broken into eight drops of equal radius, then the capacitance of each small drop is
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Two equal forces ( P each) act at a point inclined to each other at an angle of 120∘. The magnitude of their resultant is
Two equal forces ( P each) act at a point inclined to each other at an angle of 120∘. The magnitude of their resultant is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Threshold wavelength for photoelectric emission from a metal surface is 5200A. Photoelectrons will be emitted, when this surface is illuminated with monochromatic radiation from
Threshold wavelength for photoelectric emission from a metal surface is 5200A. Photoelectrons will be emitted, when this surface is illuminated with monochromatic radiation from
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
In Young's double slit experiment, if monochromatic light used is replaced by white light, then
In Young's double slit experiment, if monochromatic light used is replaced by white light, then
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Which state of triply ionised Beryllium (Be+++) has the same orbital radius as that of the ground state of hydrogen?
Which state of triply ionised Beryllium (Be+++) has the same orbital radius as that of the ground state of hydrogen?
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
If M is the atomic mass and A is the mass number, packing fraction is given by
If M is the atomic mass and A is the mass number, packing fraction is given by
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A count rate meter shows a count of 240 per min from a given radioactive source. One hour later, the meter shows a count rate of 30 per min. The half-life of the source is
A count rate meter shows a count of 240 per min from a given radioactive source. One hour later, the meter shows a count rate of 30 per min. The half-life of the source is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
Two conductors of the same material have their diameters in the ratio 1:2 and their lengths in the ratio 2:1. If the temperature difference between their ends is the same, then the ratio of amounts of heat conducted per second through them will be
Two conductors of the same material have their diameters in the ratio 1:2 and their lengths in the ratio 2:1. If the temperature difference between their ends is the same, then the ratio of amounts of heat conducted per second through them will be
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
Blowing air with open mouth is an example of
Blowing air with open mouth is an example of
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
Sound waves in air are always longitudinal because
Sound waves in air are always longitudinal because
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force will look like
An uncharged sphere of metal is placed inside a charged parallel plate capacitor. The lines of force will look like
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A current flows in a conductor from East to West. The direction of the magnetic field at a point above the conductor is
A current flows in a conductor from East to West. The direction of the magnetic field at a point above the conductor is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
A bar magnet is equivalent to
A bar magnet is equivalent to
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
Excitation energy of a hydrogen like ion in its first excitation state is 40.8‌eV. Energy needed to remove the electron from the ion in ground state is
Excitation energy of a hydrogen like ion in its first excitation state is 40.8‌eV. Energy needed to remove the electron from the ion in ground state is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
The refractive index of a particular material is 1.67 for blue light, 1.65 for yellow light and 1.63 for red light. The dispersive power of the material is
The refractive index of a particular material is 1.67 for blue light, 1.65 for yellow light and 1.63 for red light. The dispersive power of the material is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
An ideal gas heat engine operates in a Carnot's cycle between 227∘C and 127∘C. It absorbs 6×104J at high temperature. The amount of heat converted into work is
An ideal gas heat engine operates in a Carnot's cycle between 227∘C and 127∘C. It absorbs 6×104J at high temperature. The amount of heat converted into work is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
Which one of the following graphs represents the behaviour of an ideal gas?
Which one of the following graphs represents the behaviour of an ideal gas?
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Rainbow is formed due to
Rainbow is formed due to
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
A beam of parallel rays is brought to focus by a plano-convex lens. A thin concave lens of the same focal length is joined to the first lens. The effect of this is
A beam of parallel rays is brought to focus by a plano-convex lens. A thin concave lens of the same focal length is joined to the first lens. The effect of this is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
When a body is earth connected, electrons from the earth flow into the body. This means the body is
When a body is earth connected, electrons from the earth flow into the body. This means the body is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
Effective capacitance between A and B in the figure shown is (all capacitances are in µF )
Effective capacitance between A and B in the figure shown is (all capacitances are in µF )
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
A colourless crystalline salt X is soluble in dilute HCl. On adding NaOH solution, it gives a white precipitate which is insoluble in excess of NaOH.X is
A colourless crystalline salt X is soluble in dilute HCl. On adding NaOH solution, it gives a white precipitate which is insoluble in excess of NaOH.X is
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
Which metal is used to make alloy steel for armour plates, safes and helmets?
Which metal is used to make alloy steel for armour plates, safes and helmets?
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Iodoform test is not answered by
Iodoform test is not answered by
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
A gaseous carbon compound is soluble in dilute HCl. The solution on treating with NaNO2 gives off nitrogen leaving behind a solution, which smells of wood spirit. The carbon compound is
A gaseous carbon compound is soluble in dilute HCl. The solution on treating with NaNO2 gives off nitrogen leaving behind a solution, which smells of wood spirit. The carbon compound is
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Which of the following statements is incorrect regarding benzyl chloride ?
Which of the following statements is incorrect regarding benzyl chloride ?
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Enthalpy of formation of HF and HCl are −161‌kJ and −92‌kJ respectively. Which of the following statements is incorrect?
Enthalpy of formation of HF and HCl are −161‌kJ and −92‌kJ respectively. Which of the following statements is incorrect?
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Heat liberated with 100‌mL of 1N‌NaOH is neutralised by 300‌mL of 1N‌HCl
Heat liberated with 100‌mL of 1N‌NaOH is neutralised by 300‌mL of 1N‌HCl
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
For a reaction A+B→C+D, if concentration of A is doubled without altering that of B, rate doubles. If concentration of B is increased nine-times without altering that of A, rate triples. Order of the reaction is
For a reaction A+B→C+D, if concentration of A is doubled without altering that of B, rate doubles. If concentration of B is increased nine-times without altering that of A, rate triples. Order of the reaction is
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
In Goldschmidt aluminothermic process, thermite contains
In Goldschmidt aluminothermic process, thermite contains
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
The structure of orthophosphoric acid is
The structure of orthophosphoric acid is
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
A galvanic cell is constructed using the redox reaction,
‌
1
2
H2(g)+AgCl(s)⇌H+(aq)+Cl−(aq)+Ag(s)
it is represented as
A galvanic cell is constructed using the redox reaction,
‌
1
2
H2(g)+AgCl(s)⇌H+(aq)+Cl−(aq)+Ag(s)
it is represented as
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Same amount of electric current is passed through solutions of AgNO3 and HCl. If 1.08g of silver is obtained in the first case, the amount of hydrogen liberated at STP in the second case is
Same amount of electric current is passed through solutions of AgNO3 and HCl. If 1.08g of silver is obtained in the first case, the amount of hydrogen liberated at STP in the second case is
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The flame colours of metal ions are due to
The flame colours of metal ions are due to
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
The order of reactivities of methyl halides in the formation of Grignard reagent is
The order of reactivities of methyl halides in the formation of Grignard reagent is
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
The reaction of an organic compound with ammonia followed by nitration of the product gives a powerful explosive, called RDX. The organic compound is
The reaction of an organic compound with ammonia followed by nitration of the product gives a powerful explosive, called RDX. The organic compound is
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
A signature, written in carbon pencil weighs 1‌mg. What is the number of carbon atoms present in the signature?
A signature, written in carbon pencil weighs 1‌mg. What is the number of carbon atoms present in the signature?
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
NH3 and HCl gas are introduced simultaneously from the two ends of a long tub
NH3 and HCl gas are introduced simultaneously from the two ends of a long tub
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
A gas formed by the action of alcoholic KOH on ethyl iodide, decolourises alkaline KMnO4. The gas is
A gas formed by the action of alcoholic KOH on ethyl iodide, decolourises alkaline KMnO4. The gas is
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Which of the following is not a characteristic of chemisorption?
Which of the following is not a characteristic of chemisorption?
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
The concentration of electrolyte required to coagulate a given amount of As2S3 sol is minimum in the case of
The concentration of electrolyte required to coagulate a given amount of As2S3 sol is minimum in the case of
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
Identify the organic compound which, on heating with strong solution of NaOH, partly converted into an acid salt and partly into alcohol
Identify the organic compound which, on heating with strong solution of NaOH, partly converted into an acid salt and partly into alcohol
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
The process by which synthesis of protein takes place based on the genetic information present in m-RNA is called
The process by which synthesis of protein takes place based on the genetic information present in m-RNA is called
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
The enthalpies of formation of Al2O3 and Cr2O3 are −1596‌kJ and −1134‌kJ respectively. ∆H for the reaction, 2‌Al+Cr2O3→2‌Cr+Al2O3 is
The enthalpies of formation of Al2O3 and Cr2O3 are −1596‌kJ and −1134‌kJ respectively. ∆H for the reaction, 2‌Al+Cr2O3→2‌Cr+Al2O3 is
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
The gaseous reaction A+B⇌2C+D+Q is most favoured at
The gaseous reaction A+B⇌2C+D+Q is most favoured at
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
Temperature coefficient of a reaction is 2 . When temperature is increased from 30∘C to 100∘C, rate of the reaction increases by
Temperature coefficient of a reaction is 2 . When temperature is increased from 30∘C to 100∘C, rate of the reaction increases by
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
The volume of water to be added to ‌
N
2
‌HCl to prepare 500cm3 of ‌
N
10
 solution is
The volume of water to be added to ‌
N
2
‌HCl to prepare 500cm3 of ‌
N
10
 solution is
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
The equivalent weight of a certain trivalent element is 20 . Molecular weight of its oxide is
The equivalent weight of a certain trivalent element is 20 . Molecular weight of its oxide is
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Identify the reaction that doesn't take place during the smelting process of copper extraction
Identify the reaction that doesn't take place during the smelting process of copper extraction
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
Pick out the complex compound in which the central metal atom obeys EAN rule strictly.
Pick out the complex compound in which the central metal atom obeys EAN rule strictly.
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
In a reversible reaction, the catalyst
In a reversible reaction, the catalyst
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Solubility product of a salt AB is 1×10−8 in a solution in which concentration of A is 10−3M. The salt will precipitate when the concentration of B becomes more than
Solubility product of a salt AB is 1×10−8 in a solution in which concentration of A is 10−3M. The salt will precipitate when the concentration of B becomes more than
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
The standard reduction potentials of Zn and Ag in water at 298K are,
‌Zn2++2e−→Zn,‌‌E∘=−0.76V
‌‌ and ‌Ag++e−⟷Ag;‌‌E∘=+0.80V‌. ‌
‌
Which of the following reactions take place?
The standard reduction potentials of Zn and Ag in water at 298K are,
‌Zn2++2e−→Zn,‌‌E∘=−0.76V
‌‌ and ‌Ag++e−⟷Ag;‌‌E∘=+0.80V‌. ‌
‌
Which of the following reactions take place?
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
The ratio of cationic radius to anionic radius in an ionic crystal is greater than 0.732 . Its coordination number is
The ratio of cationic radius to anionic radius in an ionic crystal is greater than 0.732 . Its coordination number is
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
Dacron is obtained by the condensation polymerisation of
Dacron is obtained by the condensation polymerisation of
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
4-chloro-3,5-dimethyl phenol is called
4-chloro-3,5-dimethyl phenol is called
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
The percentage s-character of the hybrid orbitals in methane, ethene and ethyne are respectively
The percentage s-character of the hybrid orbitals in methane, ethene and ethyne are respectively
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
In the manufacture of sulphuric acid by contact process, Tyndall box is used to
In the manufacture of sulphuric acid by contact process, Tyndall box is used to
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
The pH value of gastric juice in human stomach is about 1.8 and in the small intestine it is about 7.8 . The pKa value of aspirin is 3.5 . Aspirin will be
The pH value of gastric juice in human stomach is about 1.8 and in the small intestine it is about 7.8 . The pKa value of aspirin is 3.5 . Aspirin will be
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
The number of α and β-particles emitted during the transformation of ‌90Th222 to ‌82Pb203 are respectively
The number of α and β-particles emitted during the transformation of ‌90Th222 to ‌82Pb203 are respectively
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
When chlorine is passed through warm benzene in presence of the sunlight, the product obtained is
When chlorine is passed through warm benzene in presence of the sunlight, the product obtained is
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Ethyl benzoate reacts with PCl5 to give
Ethyl benzoate reacts with PCl5 to give
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Pick out the statement which is not relevant in the discussion of colloids
Pick out the statement which is not relevant in the discussion of colloids
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
A wooden box excavated from Indus valley had an activity of 1.18×1013 disintegration per minute per g of carbon. What is the approximate age of this civilisation?
A wooden box excavated from Indus valley had an activity of 1.18×1013 disintegration per minute per g of carbon. What is the approximate age of this civilisation?
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
For a reaction, if Kp>KC, the forward reaction is favoured by
For a reaction, if Kp>KC, the forward reaction is favoured by
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
In a lime kiln, to get higher yield of CO2, the measure that can be taken is
In a lime kiln, to get higher yield of CO2, the measure that can be taken is
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
What is the volume of ' 20 volume H2O2 ' required to get 5000cm3 of oxygen at STP?
What is the volume of ' 20 volume H2O2 ' required to get 5000cm3 of oxygen at STP?
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The IUPAC name of (CH3)3C−CH=CH2 is
The IUPAC name of (CH3)3C−CH=CH2 is
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
Railway wagon axles are made by heating iron rods embedded in charcoal powder.
This process is known as
Railway wagon axles are made by heating iron rods embedded in charcoal powder.
This process is known as
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Thomas slag is
Thomas slag is
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
Urea is preferred to ammonium sulphate as a nitrogenous fertiliser because
Urea is preferred to ammonium sulphate as a nitrogenous fertiliser because
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Two gas cylinders having same capacity have been filled with 44g of H2 and 44g of CO2 respectively. If the pressure in CO2 cylinder is 1 atmosphere at a particular temperature. The pressure in the hydrogen cylinder at the same temperature is
Two gas cylinders having same capacity have been filled with 44g of H2 and 44g of CO2 respectively. If the pressure in CO2 cylinder is 1 atmosphere at a particular temperature. The pressure in the hydrogen cylinder at the same temperature is
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
Angular momentum of an electron in the nth orbit of hydrogen atom is given by
Angular momentum of an electron in the nth orbit of hydrogen atom is given by
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
The element with atomic number 36 belongs to ................. block in the periodic table.
The element with atomic number 36 belongs to ................. block in the periodic table.
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
The function of AlCl3 in Friedel-Craft's reaction is
The function of AlCl3 in Friedel-Craft's reaction is
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
An important reaction of acetone is auto-condensation in presence of concentrated sulphuric acid to give the aromatic compound
An important reaction of acetone is auto-condensation in presence of concentrated sulphuric acid to give the aromatic compound
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
Kinetic energy of one mole of an ideal gas at 300K in kJ is
Kinetic energy of one mole of an ideal gas at 300K in kJ is
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
The tripeptide hormone present in most living cells is
The tripeptide hormone present in most living cells is
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
Phenol
NaNO2∕H2SO4
⟶
B
H2O
⟶
C
NaOH
⟶
D
name of the reaction is
Phenol
NaNO2∕H2SO4
⟶
B
H2O
⟶
C
NaOH
⟶
D
name of the reaction is
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Energy is stored in our body in the form of
Energy is stored in our body in the form of
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
An organic compound answers Molisch's test as well as Benedict's test, but it does not answer Seliwanoff s test. Most probably, it is
An organic compound answers Molisch's test as well as Benedict's test, but it does not answer Seliwanoff s test. Most probably, it is
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
∼p∧q is logically equivalent to
∼p∧q is logically equivalent to
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"?
Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"?
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
What must be the matrix X if
2X+[
12
34
]=[
38
72
]?
What must be the matrix X if
2X+[
12
34
]=[
38
72
]?
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
The value of |
111
bccaab
b+cc+aa+b
| is
The value of |
111
bccaab
b+cc+aa+b
| is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
The value of |
441442443
445446447
449450451
| is
The value of |
441442443
445446447
449450451
| is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
(a⋅
^
i
)
^
i
+(a⋅
^
j
)
^
j
+(a⋅
^
k
)
^
k
 is equal to
(a⋅
^
i
)
^
i
+(a⋅
^
j
)
^
j
+(a⋅
^
k
)
^
k
 is equal to
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
Inverse of the matrix [
cos‌2‌θ−sin‌2θ
sin‌2θcos‌2‌θ
] is
Inverse of the matrix [
cos‌2‌θ−sin‌2θ
sin‌2θcos‌2‌θ
] is
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
If |a|=3,|b|=4, then a value of λ for which a+λb is perpendicular to a−λb is
If |a|=3,|b|=4, then a value of λ for which a+λb is perpendicular to a−λb is
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
The projection of a=2
^
i
+3
^
j
−2
^
k
 on b=
^
i
+2
^
j
+3
^
k
 is
The projection of a=2
^
i
+3
^
j
−2
^
k
 on b=
^
i
+2
^
j
+3
^
k
 is
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
In the group (1,2,3,4,5,6) under multiplication 7,2−1×4 is equal to
In the group (1,2,3,4,5,6) under multiplication 7,2−1×4 is equal to
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
The maximum of the function 3‌cos‌x−4sin‌x is
The maximum of the function 3‌cos‌x−4sin‌x is
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
If the distance S metres traversed by a particle in t seconds is given by S=t3−3t2, then the velocity of the particle when the acceleration is zero, in m∕ sec is
If the distance S metres traversed by a particle in t seconds is given by S=t3−3t2, then the velocity of the particle when the acceleration is zero, in m∕ sec is
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
For the curve yn=an−1x if the subnormal at any point is a constant, then n is equal to
For the curve yn=an−1x if the subnormal at any point is a constant, then n is equal to
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
If x=A‌cos‌4‌t+Bsin‌4t, then ‌
d2x
dt2
 is equal to
If x=A‌cos‌4‌t+Bsin‌4t, then ‌
d2x
dt2
 is equal to
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
If tangent to the curve x=at2,y=2at is perpendicular to X-axis, then its point of contact is
If tangent to the curve x=at2,y=2at is perpendicular to X-axis, then its point of contact is
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
The general solution of the differential equation ‌
dy
dx
+‌
1+cos‌2‌y
1−cos‌2‌y
=0 is given by
The general solution of the differential equation ‌
dy
dx
+‌
1+cos‌2‌y
1−cos‌2‌y
=0 is given by
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
The degree of the differential equation (1+(‌
dy
dx
)2)3∕4=(‌
d2y
dx2
)1∕3 is
The degree of the differential equation (1+(‌
dy
dx
)2)3∕4=(‌
d2y
dx2
)1∕3 is
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
The area enclosed between the curves y=x3 and y=√x is, (in square units)
The area enclosed between the curves y=x3 and y=√x is, (in square units)
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
π∕8
∫
0
cos34θdθ is equal to
π∕8
∫
0
cos34θdθ is equal to
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
π∕2
∫
0
‌
cos‌x−sin‌x
1+cos‌x‌s‌i‌n‌x
‌dx is equal to
π∕2
∫
0
‌
cos‌x−sin‌x
1+cos‌x‌s‌i‌n‌x
‌dx is equal to
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
If ax2−y2+4x−y=0 represents a pair of lines, then a is equal to
If ax2−y2+4x−y=0 represents a pair of lines, then a is equal to
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
What is the equation of the locus of a point which moves such that 4 times its distance from the X-axis is the square of its distance from the origin?
What is the equation of the locus of a point which moves such that 4 times its distance from the X-axis is the square of its distance from the origin?
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
Equation of the straight line making equal intercepts on the axes and passing through the point (2,4) is
Equation of the straight line making equal intercepts on the axes and passing through the point (2,4) is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
If the area of the triangle with vertices (x,0), (1,1) and (0,2) is 4 sq units, then the value of x is
If the area of the triangle with vertices (x,0), (1,1) and (0,2) is 4 sq units, then the value of x is
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
lim
a→
π
2
‌
‌
π
2
−θ
cot‌θ
=
lim
a→
π
2
‌
‌
π
2
−θ
cot‌θ
=
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
The co-axial system of circles given by x2+y2+2gx+c=0 for c<0 represents
The co-axial system of circles given by x2+y2+2gx+c=0 for c<0 represents
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
The radius of the circle passing through the point (6,2) and two of whose diameters are x+y=6 and x+2y=4 is
The radius of the circle passing through the point (6,2) and two of whose diameters are x+y=6 and x+2y=4 is
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
If (0,6) and (0,3) are respectively the vertex and focus of a parabola, then its equation is
If (0,6) and (0,3) are respectively the vertex and focus of a parabola, then its equation is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
For the ellipse 25x2+9y2−150x−90y+225=0 the ecentricity e is equal to
For the ellipse 25x2+9y2−150x−90y+225=0 the ecentricity e is equal to
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If the foci of the ellipse ‌
x2
16
+‌
y2
b2
=1 and the hyperbola ‌
x2
144
−‌
y2
81
=‌
1
25
 coincide then the value of b2 is
If the foci of the ellipse ‌
x2
16
+‌
y2
b2
=1 and the hyperbola ‌
x2
144
−‌
y2
81
=‌
1
25
 coincide then the value of b2 is
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
The differential coefficient is f(sin‌x) with respect to x where f(x)+log‌x is
The differential coefficient is f(sin‌x) with respect to x where f(x)+log‌x is
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
If f(x)={
‌
1−cos‌x
x
x≠0
kx=0
. is continuous at x=0, then the value of k is
If f(x)={
‌
1−cos‌x
x
x≠0
kx=0
. is continuous at x=0, then the value of k is
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
If ω=‌
−1+√3i
2
 then (3+ω+3ω2)4 is
If ω=‌
−1+√3i
2
 then (3+ω+3ω2)4 is
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
If y=tan−1( secx−tan‌x), then ‌
dy
dx
 is equal to
If y=tan−1( secx−tan‌x), then ‌
dy
dx
 is equal to
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
If x+‌
1
x
=2‌cos‌α, then xn+‌
1
xn
 is equal to
If x+‌
1
x
=2‌cos‌α, then xn+‌
1
xn
 is equal to
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
1
∫
−1
|1−x|dx is equal to
1
∫
−1
|1−x|dx is equal to
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
∫‌
dx
x(x7+1)
 is equal to
∫‌
dx
x(x7+1)
 is equal to
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
∫√xe√x‌dx is equal to
∫√xe√x‌dx is equal to
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
∫‌
dx
x2+2x+2
 is equal to
∫‌
dx
x2+2x+2
 is equal to
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
If a tangent to the curve y=6x−x2 is parallel to the line 4x−2y−1=0, then the point of tangency on the curve is
If a tangent to the curve y=6x−x2 is parallel to the line 4x−2y−1=0, then the point of tangency on the curve is
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
0.5737373... is equal to
0.5737373... is equal to
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
The number of solutions for the equation x2−5x|+6=0 is
The number of solutions for the equation x2−5x|+6=0 is
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
How many numbers of 6-digits can be formed from the digits of the number 112233 ?
How many numbers of 6-digits can be formed from the digits of the number 112233 ?
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
The last digit in 7300 is
The last digit in 7300 is
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
If ‌
log‌x
a−b
=‌
log‌y
b−c
=‌
log‌z
c−a
, then xyz is equal to
If ‌
log‌x
a−b
=‌
log‌y
b−c
=‌
log‌z
c−a
, then xyz is equal to
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
The smallest positive integer n for which (1+i)2n=(1−i)2n is
The smallest positive integer n for which (1+i)2n=(1−i)2n is
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
If cos−1p+cos−1q+cos−1r=π, then p2+q2+r2+2pqr is equal to
If cos−1p+cos−1q+cos−1r=π, then p2+q2+r2+2pqr is equal to
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
If sin‌−1‌
x
5
+cosec−1‌
5
4
=‌
π
2
, then x is equal to
If sin‌−1‌
x
5
+cosec−1‌
5
4
=‌
π
2
, then x is equal to
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
If 0≤x≤π and 81sin‌2x+81cos2x=30 then x is equal to
If 0≤x≤π and 81sin‌2x+81cos2x=30 then x is equal to
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
The equation of the director circle of the hyperbola ‌
x2
16
−‌
y2
4
=1 is given by
The equation of the director circle of the hyperbola ‌
x2
16
−‌
y2
4
=1 is given by
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
If Q1 is the set of all relations other than 1 with the binary operation defined by a*b=a+b−ab for all a,b in Q1, then the identity in Q1 with respect to * is
If Q1 is the set of all relations other than 1 with the binary operation defined by a*b=a+b−ab for all a,b in Q1, then the identity in Q1 with respect to * is
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
The circle x2+y2−8x+4y+4=0 touches
The circle x2+y2−8x+4y+4=0 touches
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
Which of the following is true?
Which of the following is true?
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
The set of all integral multiples of 5 is a subgroup of
The set of all integral multiples of 5 is a subgroup of
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
The value of k so that x2+y2+kx+4y+2=0 and 2(x2+y2)−4x−3y+k=0 cut orthogonally is
The value of k so that x2+y2+kx+4y+2=0 and 2(x2+y2)−4x−3y+k=0 cut orthogonally is
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
lim
x→∞
(1−‌
4
x−1
)3x−1 is equal to
lim
x→∞
(1−‌
4
x−1
)3x−1 is equal to
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
If A+B+C=180∘, then Σ‌tan‌
A
2
‌tan‌
B
2
 is equal to
If A+B+C=180∘, then Σ‌tan‌
A
2
‌tan‌
B
2
 is equal to
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
In a △ABC if b=2,B=30∘ then the area of the circumcircle of △ABC in square units is
In a △ABC if b=2,B=30∘ then the area of the circumcircle of △ABC in square units is
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
If sin‌x+sin‌2x=1, then cos12x+3cos10x+3cos8x+cos6x is equal to
If sin‌x+sin‌2x=1, then cos12x+3cos10x+3cos8x+cos6x is equal to
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
If R denotes the set of all real number, then the function f:R→R defined f(x)=|x| is
If R denotes the set of all real number, then the function f:R→R defined f(x)=|x| is
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