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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Light of frequency 1015‌Hz falls on a metal surface of work function 2.5‌eV. The stopping potential of photoelectrons (in V) is
Light of frequency 1015‌Hz falls on a metal surface of work function 2.5‌eV. The stopping potential of photoelectrons (in V) is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
A proton accelerated through a potential V has de-Broglie wavelength λ. Then, the de-Broglie wavelength of an α-particle, when accelerated through the same potential V is
A proton accelerated through a potential V has de-Broglie wavelength λ. Then, the de-Broglie wavelength of an α-particle, when accelerated through the same potential V is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Consider a thin spherical shell of radius R consisting of uniform surface charge density s. The electric field at a point of distance x from its centre and outside the shell is
Consider a thin spherical shell of radius R consisting of uniform surface charge density s. The electric field at a point of distance x from its centre and outside the shell is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
An electron of an atom transits from n1 to n2. In which of the following maximum frequency of photon will be emitted?
An electron of an atom transits from n1 to n2. In which of the following maximum frequency of photon will be emitted?
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Two protons are kept at a separation of 40Å. Fn is the nuclear force and Fe is the electrostatic force between them. Then,
Two protons are kept at a separation of 40Å. Fn is the nuclear force and Fe is the electrostatic force between them. Then,
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Two radioactive materials X1 and X2 have decay constant 5λ and λ, respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that X2 will be 1∕e after a time
Two radioactive materials X1 and X2 have decay constant 5λ and λ, respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that X2 will be 1∕e after a time
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The Poisson's ratio of a material is 0.1 . If the longitudinal strain of a rod of this material is 10−3, then the percentage change in the volume of the rod will be
The Poisson's ratio of a material is 0.1 . If the longitudinal strain of a rod of this material is 10−3, then the percentage change in the volume of the rod will be
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
A satellite can be in a geostationary orbit around a planet if it is at a distance R from the centre of the planet. If the planet starts rotating about its axis with double the angular velocity, then to make the satellite geostationary, its orbital radius should be
A satellite can be in a geostationary orbit around a planet if it is at a distance R from the centre of the planet. If the planet starts rotating about its axis with double the angular velocity, then to make the satellite geostationary, its orbital radius should be
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
When a p - n junction diode is connected in forward bias, its barrier potential
When a p - n junction diode is connected in forward bias, its barrier potential
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Ground waves have wavelength
Ground waves have wavelength
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
A ball floats on the surface of water in a container exposed to the atmosphere. When the container is covered and the air is partially removed, then the ball
A ball floats on the surface of water in a container exposed to the atmosphere. When the container is covered and the air is partially removed, then the ball
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
A frame made of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 50%, then the energy of the soap film will be changed by
A frame made of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 50%, then the energy of the soap film will be changed by
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio 4:1. The free face of copper is at 0∘C. The temperature of the interface is 20∘C. What is the temperature of the free face of brass?
A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio 4:1. The free face of copper is at 0∘C. The temperature of the interface is 20∘C. What is the temperature of the free face of brass?
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
1mm3 of a gas is compressed at 1 atmospheric pressure and temperature 27∘C to 627∘C. What is the final pressure under adiabatic condition? (γ for the gas =1.5)
1mm3 of a gas is compressed at 1 atmospheric pressure and temperature 27∘C to 627∘C. What is the final pressure under adiabatic condition? (γ for the gas =1.5)
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
If sink is at a temperature of −39∘C and source at 0∘C, then efficiency will be
If sink is at a temperature of −39∘C and source at 0∘C, then efficiency will be
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Which of the following laws of Physics is valid across all domains of nature?
Which of the following laws of Physics is valid across all domains of nature?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A particle of mass m is moving in a horizontal circle of radius R under a centripetal force equal to −‌
A
R2
(A= constant ). The total energy of the particle is
A particle of mass m is moving in a horizontal circle of radius R under a centripetal force equal to −‌
A
R2
(A= constant ). The total energy of the particle is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A force of 20N is applied on a body of mass 5‌kg resting on a horizontal plane. The body gains a kinetic energy of 10J after it moves a distance 2m. The frictional force is
A force of 20N is applied on a body of mass 5kg resting on a horizontal plane. The body gains a kinetic energy of 10J after it moves a distance 2m. The frictional force is
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A body under the action of a force F=6
^
i
−8
^
j
+10
^
k
, acquires an acceleration of 1m∕ s2. The mass of this body must be
A body under the action of a force F=6
^
i
−8
^
j
+10
^
k
, acquires an acceleration of 1m∕ s2. The mass of this body must be
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A body of mass 1000‌kg is moving horizontally with a velocity 50m∕ s. A mass of 250‌kg is added. Find the final velocity.
A body of mass 1000kg is moving horizontally with a velocity 50m∕ s. A mass of 250kg is added. Find the final velocity.
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Equal volumes of two gases, having their densities in the ratio of 1:16 exert equal pressures on the walls of two containers. The ratio of their rms velocities (‌
c1
c2
)
Equal volumes of two gases, having their densities in the ratio of 1:16 exert equal pressures on the walls of two containers. The ratio of their rms velocities (‌
c1
c2
)
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A gaseous mixture consists of 16g of helium and 16 g of oxygen. The ratio Cp∕CV of the mixture is
A gaseous mixture consists of 16g of helium and 16 g of oxygen. The ratio Cp∕CV of the mixture is
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A particle executes a linear SHM with an amplitude of 4‌cm. At the mean position the velocity of the particle is 10‌cm∕ s. What is the displacement of the particle when its speed becomes 5‌cm∕ s ?
A particle executes a linear SHM with an amplitude of 4‌cm. At the mean position the velocity of the particle is 10‌cm∕ s. What is the displacement of the particle when its speed becomes 5‌cm∕ s ?
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The equation of a progressive wave can be given by y=15sin‌(660πt−0.02πx)‌cm. The frequency of the wave is
The equation of a progressive wave can be given by y=15sin‌(660πt−0.02πx)‌cm. The frequency of the wave is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A source of sound gives 5 beats per second, when sounded with another source of frequency 100 s−1. The second harmonic of the source, together with a source of frequency 205 s−1 gives 5 beats per second. What is frequency of the source?
A source of sound gives 5 beats per second, when sounded with another source of frequency 100 s−1. The second harmonic of the source, together with a source of frequency 205 s−1 gives 5 beats per second. What is frequency of the source?
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A charge of 0.8C is divided into two charges Q1 and Q2. These are kept at a separation of 30‌cm. The force on Q1 is maximum when
A charge of 0.8C is divided into two charges Q1 and Q2. These are kept at a separation of 30‌cm. The force on Q1 is maximum when
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
An electric dipole has a pair of equal and opposite point charges q and −q separated by a distance 2x. The axis of the dipole is defined as
An electric dipole has a pair of equal and opposite point charges q and −q separated by a distance 2x. The axis of the dipole is defined as
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
An electric dipole is placed in a uniform electric field with the dipole axis making an angle θ with the direction of the electric field. The orientation of the dipole for stable equilibrium is
An electric dipole is placed in a uniform electric field with the dipole axis making an angle θ with the direction of the electric field. The orientation of the dipole for stable equilibrium is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
Two point charges A=+3‌nC and B=+1‌nC are placed 5‌cm apart in air. The work done to move charge B towards A by 1‌cm is
Two point charges A=+3‌nC and B=+1‌nC are placed 5‌cm apart in air. The work done to move charge B towards A by 1‌cm is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The potential energies associated with four orientations of an electric dipole in an electric field are
(i) −5U0
(ii) −7U0
(iii) 3U0
(iv) 5U0
where U0 is positive . Rank the orientations according to the angle between the electric dipole moment p and electric field E, greatest first
The potential energies associated with four orientations of an electric dipole in an electric field are
(i) −5U0
(ii) −7U0
(iii) 3U0
(iv) 5U0
where U0 is positive . Rank the orientations according to the angle between the electric dipole moment p and electric field E, greatest first
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Suppose refractive index µ is given as µ=A+‌
B
λ2
, where A and B are constants and λ is wavelength, then dimensions of B are same as that of
Suppose refractive index µ is given as µ=A+‌
B
λ2
, where A and B are constants and λ is wavelength, then dimensions of B are same as that of
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
If voltage V=(200±8)V and current I=(20±0.5) A, then the percentage error in resistance R is
If voltage V=(200±8)V and current I=(20±0.5) A, then the percentage error in resistance R is
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A body is projected vertically upwards. The times corresponding to height h, while ascending and while descending are t1 and t2, respectively. Then, the velocity of projection is ( g is acceleration due to gravity)
A body is projected vertically upwards. The times corresponding to height h, while ascending and while descending are t1 and t2, respectively. Then, the velocity of projection is ( g is acceleration due to gravity)
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A particle shows distance-time curve as given in this figure

The maximum instantaneous velocity of the particle is around the point
A particle shows distance-time curve as given in this figure

The maximum instantaneous velocity of the particle is around the point
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A fluid is in streamline flow across a horizontal pipe of variable area of cross-section. For this which of the following statements is correct?
A fluid is in streamline flow across a horizontal pipe of variable area of cross-section. For this which of the following statements is correct?
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Two capacitors C1 and C2 are charged to 120V and 200V, respectively. When they are connected in parallel, it is found that potential on each one of them is zero. Therefore,
Two capacitors C1 and C2 are charged to 120V and 200V, respectively. When they are connected in parallel, it is found that potential on each one of them is zero. Therefore,
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
Point out the right statements about the validity of Kirchhoff s junction rule,
Point out the right statements about the validity of Kirchhoff s junction rule,
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
Four particles each of the mass m are placed at the corners of a square of side length l. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is
Four particles each of the mass m are placed at the corners of a square of side length l. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A steel wire of length 4.7m and cross-sectional area 3.0×10−5m2 stretches by the same amount as a copper wire of length 3.5m and cross-sectional area of 4.0×10−5m2 under a given load. What is the ratio of Young's modulus of steel to that of copper?
A steel wire of length 4.7m and cross-sectional area 3.0×10−5m2 stretches by the same amount as a copper wire of length 3.5m and cross-sectional area of 4.0×10−5m2 under a given load. What is the ratio of Young's modulus of steel to that of copper?
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The masses of 200g and 300g are attached to the 20‌cm and 70‌cm marks of a light meter rod, respectively. The moment of inertia of the system about an axis passing through 50‌cm mark is
The masses of 200g and 300g are attached to the 20‌cm and 70‌cm marks of a light meter rod, respectively. The moment of inertia of the system about an axis passing through 50‌cm mark is
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
Two spherical bodies of masses M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is
Two spherical bodies of masses M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
If P=Q=R=10Ω and S=20Ω, then what resistance should be joined with S to balance the Wheatstone's network?
If P=Q=R=10Ω and S=20Ω, then what resistance should be joined with S to balance the Wheatstone's network?
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
To the potentiometer wire of length L and 10Ω resistance, a battery of emf 2.5V and a resistance R are connected in series. If a potential difference of 1V is balanced across L / 2 length, the value of R in Ω will be
To the potentiometer wire of length L and 10Ω resistance, a battery of emf 2.5V and a resistance R are connected in series. If a potential difference of 1V is balanced across L / 2 length, the value of R in Ω will be
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
An electron moves with speed of 2×105m∕ s along the positive x-direction in a magnetic field B=(
^
i
−4
^
j
−3
^
k
) T. The magnitude of the force (in N) experienced by the electron is
An electron moves with speed of 2×105m∕ s along the positive x-direction in a magnetic field B=(
^
i
−4
^
j
−3
^
k
) T. The magnitude of the force (in N) experienced by the electron is
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A horizontal overhead power line carries a current of 90A in East to West direction. What is the magnitude and direction of the magnetic field due to the current, 1.5m below the line?
A horizontal overhead power line carries a current of 90A in East to West direction. What is the magnitude and direction of the magnetic field due to the current, 1.5m below the line?
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A moving coil galvanometer has 28 turns and area of coil is 4×10−2m2. If the magnetic field is 0.2T, then to increase the sensitivity by 25% without changing area and field, the number of turns should be changed to
A moving coil galvanometer has 28 turns and area of coil is 4×10−2m2. If the magnetic field is 0.2T, then to increase the sensitivity by 25% without changing area and field, the number of turns should be changed to
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The intensity of magnetic field due to an isolated pole of strength mp at a point distant r from it will be
The intensity of magnetic field due to an isolated pole of strength mp at a point distant r from it will be
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
The particle that cannot be accelerated by a cyclotron is
The particle that cannot be accelerated by a cyclotron is
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
The angle which the total magnetic field of earth makes with the surface of the earth is called
The angle which the total magnetic field of earth makes with the surface of the earth is called
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
The angle of dip of at a place where horizontal and vertical components of earth's magnetic field are equal is
The angle of dip of at a place where horizontal and vertical components of earth's magnetic field are equal is
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A coil of wire of a certain radius has 100 turns and a self inductance of 15‌mH. The self inductance of a second similar coil of 500 turns will be
A coil of wire of a certain radius has 100 turns and a self inductance of 15‌mH. The self inductance of a second similar coil of 500 turns will be
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
A coil of 100 turns carries a current of 5‌mA and creates a magnetic flux of 10−5‌Wb. The inductance is
A coil of 100 turns carries a current of 5‌mA and creates a magnetic flux of 10−5‌Wb. The inductance is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
In step-up transformer, relation between number of turns in primary (NP) and number of turns in secondary (NS) coils is
In step-up transformer, relation between number of turns in primary (NP) and number of turns in secondary (NS) coils is
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
For a series L−C−R circuit at resonance, which statement is not true?
For a series L−C−R circuit at resonance, which statement is not true?
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Which of the following has/have zero average value in a plane electromagnetic wave?
Which of the following has/have zero average value in a plane electromagnetic wave?
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
A convex lens is made of 3 layers of glass of 3 different materials as in the figure .
A point object is placed on its axis.

The number of images of the object are
A convex lens is made of 3 layers of glass of 3 different materials as in the figure .
A point object is placed on its axis.

The number of images of the object are
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A ray of light suffers minimum deviation in equilateral prism P. Additional prisms Q and R of identical shape and of same material as that of P are now combined as shown in figure .
The ray will now suffer
A ray of light suffers minimum deviation in equilateral prism P. Additional prisms Q and R of identical shape and of same material as that of P are now combined as shown in figure .

The ray will now suffer
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Two identical light waves, propagating in the same direction, have a phase difference δ. After they superpose the intensity of the resulting wave will be proportional to
Two identical light waves, propagating in the same direction, have a phase difference δ. After they superpose the intensity of the resulting wave will be proportional to
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
A plastic sheet (refractive index =1.6 ) covers one slit of a double slit arrangement for the Young's experiment. When the double slit is illuminated by monochromatic light (wavelength =5867Å ), the centre of the screen appears dark rather than bright. The minimum thickness of the plastic sheet to be used for this to happen is
A plastic sheet (refractive index =1.6 ) covers one slit of a double slit arrangement for the Young's experiment. When the double slit is illuminated by monochromatic light (wavelength =5867Å ), the centre of the screen appears dark rather than bright. The minimum thickness of the plastic sheet to be used for this to happen is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
A particle starts moving from point (2,10,1) Displacement for the particle is 8
^
i
−2
^
j
+
^
k
. The final coordinates of the particle is
A particle starts moving from point (2,10,1) Displacement for the particle is 8
^
i
−2
^
j
+
^
k
. The final coordinates of the particle is
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
During the extraction of gold the following reactions take place
Au+CN−+H2O
O2
→
[X]
[X]+Zn→[Y]+Au
X and Y are respectively
During the extraction of gold the following reactions take place
Au+CN−+H2O
O2
→
[X]
[X]+Zn→[Y]+Au
X and Y are respectively
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The number of gram molecules of chlorine in 6.02×1025 hydrogen chloride molecules is
The number of gram molecules of chlorine in 6.02×1025 hydrogen chloride molecules is
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Graphite is a soft solid lubricant extremely difficult to melt. The reason for this anomalous behaviour is that, graphite
Graphite is a soft solid lubricant extremely difficult to melt. The reason for this anomalous behaviour is that, graphite
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
Paracetamol is a/an
Paracetamol is a/an
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Which one of the following has maximum number of atoms of oxygen?
Which one of the following has maximum number of atoms of oxygen?
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
Which one of the following shows functional isomerism?
Which one of the following shows functional isomerism?
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
In the ionic equation, BiO3−+6H++xe−→Bi3++3H2O the value of x is
In the ionic equation, BiO3−+6H++xe−→Bi3++3H2O the value of x is
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
Molarity of a given orthophosphoric acid solution is 3M. It's normality is
Molarity of a given orthophosphoric acid solution is 3M. It's normality is
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
Acidified sodium fusion extract on addition of ferric chloride solution gives blood red colouration which confirms the presence of
Acidified sodium fusion extract on addition of ferric chloride solution gives blood red colouration which confirms the presence of
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
A body of mass 10‌mg is moving with a velocity of 100ms−1. The wavelength of de-Broglie wave associated with it would be

(h=6.63×10−34‌Js)
A body of mass 10‌mg is moving with a velocity of 100ms−1. The wavelength of de-Broglie wave associated with it would be

(h=6.63×10−34‌Js)
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
Mg2+ is isoelectronic with
Mg2+ is isoelectronic with
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Gram molecular volume of oxygen at STP is
Gram molecular volume of oxygen at STP is
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
Presence of halogen in organic compounds can be detected using
Presence of halogen in organic compounds can be detected using
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
The electronic configuration of Cr3+ is
The electronic configuration of Cr3+ is
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
The mass of a metal, with equivalent mass 31.75 , which would combine with 8 g of oxygen is
The mass of a metal, with equivalent mass 31.75 , which would combine with 8 g of oxygen is
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
Benzene reacts with chlorine in sunlight to give a final product
Benzene reacts with chlorine in sunlight to give a final product
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
In the periodic table metals usually used as catalysts belong to
In the periodic table metals usually used as catalysts belong to
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Dalton's law of partial pressures is applicable to which one of the following systems?
Dalton's law of partial pressures is applicable to which one of the following systems?
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
The general formula of a cycloalkene is
The general formula of a cycloalkene is
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
In acetylene molecule, between the carbon atoms there are
In acetylene molecule, between the carbon atoms there are
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
Denatured alcohol is
Denatured alcohol is
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
During the formation of a chemical bond
During the formation of a chemical bond
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
One mole of oxygen at 273K and one mole of sulphur dioxide at 546K are taken in two separate containers, then
One mole of oxygen at 273K and one mole of sulphur dioxide at 546K are taken in two separate containers, then
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
+I-effect is shown by
+I-effect is shown by
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
Formation of coloured solution is possible, when metal ion in the compound contains
Formation of coloured solution is possible, when metal ion in the compound contains
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
Which of the following is an intensive property?
Which of the following is an intensive property?
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
Hofmann's bromamide reaction is to convert
Hofmann's bromamide reaction is to convert
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
IUPAC name of Na3[Co(NO2)6] is
IUPAC name of Na3[Co(NO2)6] is
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
Thermodynamic standard conditions of temperature and pressure are
Thermodynamic standard conditions of temperature and pressure are
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
How many chiral carbon atoms are present in 2, 3, 4-trichloropentane?
How many chiral carbon atoms are present in 2, 3, 4-trichloropentane?
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
The number of unidentate ligands in the complex ion is called
The number of unidentate ligands in the complex ion is called
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
2SO2(g)+O2(g)
V2O5
⇌
 is an example for
2SO2(g)+O2(g)
V2O5
⇌
 is an example for
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
The amino acid which is not optically active is
The amino acid which is not optically active is
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
For a stable molecule the value of bond order must be
For a stable molecule the value of bond order must be
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
Which one of the following is a second order reaction?
Which one of the following is a second order reaction?
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
According to Baeyer's strain theory which is highly stable?
According to Baeyer's strain theory which is highly stable?
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
The number of antibonding electron pairs in O22− molecular ion on the basis of molecular orbital theory is
[Atomic number of O is 18]
The number of antibonding electron pairs in O22− molecular ion on the basis of molecular orbital theory is
[Atomic number of O is 18]
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
Hydroxyl ion concentration of 1M‌HCl is
Hydroxyl ion concentration of 1M‌HCl is
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Geometrical isomerism is shown by
Geometrical isomerism is shown by
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
The oxidation state of iron in K4[Fe(CN)6] is,
The oxidation state of iron in K4[Fe(CN)6] is,
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
In which of the following process, a maximum increase in entropy is observed?
In which of the following process, a maximum increase in entropy is observed?
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
Decomposition of benzene diazonium chloride by using Cu2Cl2∕HCl to form chlorobenzene is
Decomposition of benzene diazonium chloride by using Cu2Cl2∕HCl to form chlorobenzene is
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
Which complex cannot ionise in solution?
Which complex cannot ionise in solution?
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
Considering the reaction, C(s)+O2(g)→CO2(g)+393.5‌kJ The signs of ∆H,∆S and ∆G respectively are
Considering the reaction, C(s)+O2(g)→CO2(g)+393.5‌kJ The signs of ∆H,∆S and ∆G respectively are
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
The product formed when hydroxylamine condenses with a carbonyl compound is called
The product formed when hydroxylamine condenses with a carbonyl compound is called
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
Which of the following forms a colourless solution in aqueous medium?
Which of the following forms a colourless solution in aqueous medium?
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
When a sulphur sol is evaporated, sulphur is obtained. On mixing with water, sulphur sol is not formed. The sol is
When a sulphur sol is evaporated, sulphur is obtained. On mixing with water, sulphur sol is not formed. The sol is
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
An alkyl halide reacts with alcoholic ammonia in a sealed tube, the product formed will be
An alkyl halide reacts with alcoholic ammonia in a sealed tube, the product formed will be
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
When conc . H2SO4 is heated with P2O5, the acid is converted into
When conc . H2SO4 is heated with P2O5, the acid is converted into
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
Entropy of the universe is
Entropy of the universe is
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Which of the following salts on being dissolved in water gives pH>7 at 25∘C ?
Which of the following salts on being dissolved in water gives pH>7 at 25∘C ?
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
The reagent used in Clemmenson's reduction is
The reagent used in Clemmenson's reduction is
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
When KBr is dissolved in water, K+ions are
When KBr is dissolved in water, K+ions are
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
The noble gas mixture is cooled in a coconut bulb at 173K. The gases that are not adsorbed are
The noble gas mixture is cooled in a coconut bulb at 173K. The gases that are not adsorbed are
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
The volume of 10N and 4N‌HCl required to make 1 litre of 7N‌HCl are
The volume of 10N and 4N‌HCl required to make 1 litre of 7N‌HCl are
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
A metal present in insulin is
A metal present in insulin is
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
Carbon forms two oxides which have different compositions. The equivalent mass of which remains constant?
Carbon forms two oxides which have different compositions. The equivalent mass of which remains constant?
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
Maximum number of molecules of CH3I that can react with a molecule of CH3NH2 are
Maximum number of molecules of CH3I that can react with a molecule of CH3NH2 are
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
Ellingham diagram represents a graph of
Ellingham diagram represents a graph of
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
Identify the ore not containing iron
Identify the ore not containing iron
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
72log75 is equal to
72log75 is equal to
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
In the group (G⊗15), where G={3,6,9,12}, ⊗15 is multiplication modulo 15 , the identity element is
In the group (G⊗15), where G={3,6,9,12}, ⊗15 is multiplication modulo 15 , the identity element is
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
A group (G*) has 10 elements. The minimum number of elements of G, which are their own inverses is
A group (G*) has 10 elements. The minimum number of elements of G, which are their own inverses is
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If a and b are vectors such that |a×b|=|a−b|, then the angle between a and b is
If a and b are vectors such that |a×b|=|a−b|, then the angle between a and b is
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
‌
3x2+1
x2−6x+8
 is equal to
‌
3x2+1
x2−6x+8
 is equal to
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
If a=2
^
i
+3
^
j
−
^
k
,b=
^
i
+2
^
j
−5
^
k
,c=3
^
i
+5
^
j
−
^
k
, then a vector perpendicular to a and in the plane containing b and c is
If a=2
^
i
+3
^
j
−
^
k
,b=
^
i
+2
^
j
−5
^
k
,c=3
^
i
+5
^
j
−
^
k
, then a vector perpendicular to a and in the plane containing b and c is
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
OA and BO are two vectors of magnitudes 5 and 6 respectively. If ∠BOA=60∘, then OA⋅OB is equal to
OA and BO are two vectors of magnitudes 5 and 6 respectively. If ∠BOA=60∘, then OA⋅OB is equal to
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
A vector perpendicular to the plane containing the points A(1,−1,2),B(2,0,−1),C(0,2,1) is
A vector perpendicular to the plane containing the points A(1,−1,2),B(2,0,−1),C(0,2,1) is
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
‌
1
2⋅5
+‌
1
5⋅8
+‌
1
8⋅11
+...‌
1
(3n−1)(3n+2)
=
‌
1
2⋅5
+‌
1
5⋅8
+‌
1
8⋅11
+...‌
1
(3n−1)(3n+2)
=
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
The ninth term of the expansion (3x−‌
1
2x
)8 is
The ninth term of the expansion (3x−‌
1
2x
)8 is
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
If A=[
1−11
21−3
111
],10B=[
422
−50α
1−23
] and B is the inverse of A, then the value of α is
If A=[
1−11
21−3
111
],10B=[
422
−50α
1−23
] and B is the inverse of A, then the value of α is
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
If A=[
0x16
x57
09x
] is singular, then the possible values of x are
If A=[
0x16
x57
09x
] is singular, then the possible values of x are
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
If A=[
1−22
02−3
3−24
], then A⋅adj(A) is equal to
[
500
050
005
]
If A=[
1−22
02−3
3−24
], then A⋅adj(A) is equal to
[
500
050
005
]
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
If f:R→R is defined by f(x)=|x|, then
If f:R→R is defined by f(x)=|x|, then
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
The value of |
xpq
pxq
pqx
| is
The value of |
xpq
pxq
pqx
| is
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
The number of common tangents to the circles x2+y2=4 and x2+y2−6x−8y−24=0 is,
The number of common tangents to the circles x2+y2=4 and x2+y2−6x−8y−24=0 is,
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
If 3x+y+k=0 is a tangent to the circle x2+y2=10, the values of k are
If 3x+y+k=0 is a tangent to the circle x2+y2=10, the values of k are
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
The negation of the proposition "If 2 is prime, then 3 is odd" is
The negation of the proposition "If 2 is prime, then 3 is odd" is
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
The equation to two circles which touch the Y-axis at (0,3) and make an intercept of 8 units on X-axis are
The equation to two circles which touch the Y-axis at (0,3) and make an intercept of 8 units on X-axis are
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
The orthocentre of the triangle with vertices A(0,0),B(0,3∕2),C(−5,0) is
The orthocentre of the triangle with vertices A(0,0),B(0,3∕2),C(−5,0) is
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
x2+y2−6x−6y+4=0
x2+y2−2x−4y+3=0
of the above three circles exists, then which of the following cannot be the value of k ?
x2+y2−6x−6y+4=0
x2+y2−2x−4y+3=0
of the above three circles exists, then which of the following cannot be the value of k ?
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
If the circles x2+y2−2x−2y−7=0 and x2+y2+4x+2y+k=0 cut orthogonally, then the length of the common chord of the circles is
If the circles x2+y2−2x−2y−7=0 and x2+y2+4x+2y+k=0 cut orthogonally, then the length of the common chord of the circles is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
The coordinates of the foot of the perpendicular drawn from the point (3,4) on the line 2x+y−7=0 is
The coordinates of the foot of the perpendicular drawn from the point (3,4) on the line 2x+y−7=0 is
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
The area enclosed by the pair of lines xy=0, the line x−4=0 and y+5=0 is
The area enclosed by the pair of lines xy=0, the line x−4=0 and y+5=0 is
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
If the area of the auxillary circle of the ellipse ‌
x2
a2
+‌
y2
b2
=1(a>b) is twice the area of the ellipse, then the eccentricity of the ellipse is
If the area of the auxillary circle of the ellipse ‌
x2
a2
+‌
y2
b2
=1(a>b) is twice the area of the ellipse, then the eccentricity of the ellipse is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
A graph G has m vertices of odd degree and ' n ' vertices of even degree . Then which of the following statements is necessarily true?
A graph G has m vertices of odd degree and ' n ' vertices of even degree . Then which of the following statements is necessarily true?
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
If p is any point on the ellipse ‌
x2
36
+‌
y2
16
=1, and S and S′ are the foci, then PS+PS′=
If p is any point on the ellipse ‌
x2
36
+‌
y2
16
=1, and S and S′ are the foci, then PS+PS′=
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
The value of sin‌[2cos−1‌
√5
3
] is
The value of sin‌[2cos−1‌
√5
3
] is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
If ‌
x2
36
−‌
y2
k2
=1 is a hyperbola, then which of the following statements can be true?
If ‌
x2
36
−‌
y2
k2
=1 is a hyperbola, then which of the following statements can be true?
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
The focus of the parabola is
The focus of the parabola is
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
The solution of tan−1x+2cot−1x=‌
2π
3
 is
The solution of tan−1x+2cot−1x=‌
2π
3
 is
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
sin‌217.5∘+sin‌272.5∘ is equal to
sin‌217.5∘+sin‌272.5∘ is equal to
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
The conjugate of the complex number ‌
(1+i)2
1−i
 is
The conjugate of the complex number ‌
(1+i)2
1−i
 is
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
ABC is a triangle with ∠A=30∘ and BC=10‌cm. The area of the circum circle of the triangle is
ABC is a triangle with ∠A=30∘ and BC=10‌cm. The area of the circum circle of the triangle is
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
If sin‌3θ=sin‌θ, how many solutions exist such that −2π<θ<2π ?
If sin‌3θ=sin‌θ, how many solutions exist such that −2π<θ<2π ?
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
The imaginary part of ii is
The imaginary part of ii is
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
The amplitude of (1+i)5 is
The amplitude of (1+i)5 is
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
ABC is a triangle, G is the centroid, D is the mid-point of BC. If A=(2,3) and G=(7,5), then the point D is
ABC is a triangle, G is the centroid, D is the mid-point of BC. If A=(2,3) and G=(7,5), then the point D is
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
lim
x→1
‌
tan(x2−1)
x−1
 is equal to
lim
x→1
‌
tan(x2−1)
x−1
 is equal to
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
If y=2log‌x, then ‌
dy
dx
 is
If y=2log‌x, then ‌
dy
dx
 is
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
If sec−1(‌
1+x
1−y
)=a, then ‌
dy
dx
 is
If sec−1(‌
1+x
1−y
)=a, then ‌
dy
dx
 is
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
If y=cos2‌
3x
2
−sin‌2‌
3x
2
, then ‌
d2y
dx2
 is
If y=cos2‌
3x
2
−sin‌2‌
3x
2
, then ‌
d2y
dx2
 is
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
If the function f(x)={
‌
1−cos‌x
x2
‌‌ for ‌x≠0
k‌‌ for ‌x=0
. continuous at x=0, then the value of k is
If the function f(x)={
‌
1−cos‌x
x2
‌‌ for ‌x≠0
k‌‌ for ‌x=0
. continuous at x=0, then the value of k is
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
If 1,ω,ω2 are the cube roots of unity, then (1+ω)(1+ω2)(1+ω4)(1+ω8) is equal to
If 1,ω,ω2 are the cube roots of unity, then (1+ω)(1+ω2)(1+ω4)(1+ω8) is equal to
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
If xx=yy, then ‌
dy
dx
 is
If xx=yy, then ‌
dy
dx
 is
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
The point on the curve y2=x, the tangent at which makes an angle 45∘ with X-axis is
The point on the curve y2=x, the tangent at which makes an angle 45∘ with X-axis is
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
The length of the subtangent to the curve x2y2=a4 at (−a,a) is
The length of the subtangent to the curve x2y2=a4 at (−a,a) is
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
The number of positive divisors of 252 is
The number of positive divisors of 252 is
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
The remainder obtained when 5124 is divided by 124 is
The remainder obtained when 5124 is divided by 124 is
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
Which of the following is not a group with respect to the given operation?
Which of the following is not a group with respect to the given operation?
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
The range in which y=−x2+6x−3 is increasing, is
The range in which y=−x2+6x−3 is increasing, is
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
The value of the integral
π∕2
∫
0
(sin‌100x−cos100x)‌dx is
The value of the integral
π∕2
∫
0
(sin‌100x−cos100x)‌dx is
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
OA and OB are two roads enclosing an angle of 120∘.X and Y start from O at the same time . X travels along OA with a speed of 4‌km∕h and Y travels along OB with a speed of 3‌km∕h. The rate at which the shortest distance between X and Y is increasing after 1 hour is
OA and OB are two roads enclosing an angle of 120∘.X and Y start from O at the same time . X travels along OA with a speed of 4‌km∕h and Y travels along OB with a speed of 3‌km∕h. The rate at which the shortest distance between X and Y is increasing after 1 hour is
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
If k‌
1
∫
0
x⋅f(3x)‌dx=
3
∫
0
t⋅f(t)‌dt, then the value of k is
If k‌
1
∫
0
x⋅f(3x)‌dx=
3
∫
0
t⋅f(t)‌dt, then the value of k is
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
The value of ∫‌
1
1+cos‌8‌x
‌dx is
The value of ∫‌
1
1+cos‌8‌x
‌dx is
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
The value of ∫ex(x5+5x4+1)⋅dx is
The value of ∫ex(x5+5x4+1)⋅dx is
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
The value of ∫‌
x2+1
x2−1
‌dx is
The value of ∫‌
x2+1
x2−1
‌dx is
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
The area bounded by the curve x=4−y2 and the Y-axis is
The area bounded by the curve x=4−y2 and the Y-axis is
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
The differential equation of the family of straight lines whose slope is equal to y-intercept is
The differential equation of the family of straight lines whose slope is equal to y-intercept is
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
The order and degree of the differential equation [1+(‌
dy
dx
)5]‌
1
3
=‌
d2y
dx2
 are respectively
The order and degree of the differential equation [1+(‌
dy
dx
)5]‌
1
3
=‌
d2y
dx2
 are respectively
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