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24/04/2020 / Leave a comment

Important Instructions:

(1) There is only one correct option.

(2) Duration of Test is 1 Hour and Questions Paper Contains 45 Questions. The Max. Marks are 180.

(3) Each correct answer carries 4 marks, while 1 mark will be deducted for every wrong answer. Guessing of answer reduces your effort.

1 / 45

Angle between magnetic meridian and geographical meridian is called

2 / 45

A closed argon pipe and an open argon pipe are tuned to the same fundamental frequency. What is the ratio of their lengths?

3 / 45

Which of the following gates corresponds to the truth table given below?

A B Y1 1 01 0 10 1 10 0 1

4 / 45

A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 minutes, the rate is 1250 disintegrations per minute. Then, the decay constant (per minute) is

5 / 45

The internal energy of an ideal gas increases during an isothermal process when the gas is

6 / 45

A current carrying wire in the neighbourhood produces

7 / 45

The electric field associated with an e.m. wave in vacuum is given by E = î40 cos(kz - 6 x 10^{8}t), where E, z and t are in volt/m, meter and seconds respectively. The value of wave vector k is

8 / 45

The point charges Q and –2Q are placed at some distance apart. If the electric field at the location of Q is E. Then, the electric field at the location of –2Q will be

9 / 45

The masses of the three wires of copper are in the ratio of 1 : 3 : 5 and their lengths are in the ratio of 5 : 3 : 1. The ratio of their electrical resistance is

10 / 45

A cylindrical block of area of cross-section A and of material of density r is placed in a liquid of density one-third of density of block. The block compresses a spring and compression in the spring is one-third of the length of the block. If acceleration due to gravity is g, the spring constant of the spring is

11 / 45

In A.C. circuit in which inductance and capacitance are joined in series, current is found to be maximum when the value of inductance is 0.5 H and the value of capacitance is 8 μF. The angular frequency of applied alternating voltage will be

12 / 45

The displacement vs time of a particle executing SHM is shown in figure. The initial phase Φ

13 / 45

Consider a thermodynamic system. If ΔU represents the increase in its internal energy and W the work done by the system, which of the following statements is true ?

14 / 45

The P-V equation for a process of an ideal gas is given by

15 / 45

The radius R of the soap bubble is doubled under isothermal condition. If T be the surface tension of soap bubble, the work done in doing so is given by

16 / 45

Consider a vector F = 4 i – 3 j. Another vector that is perpendicular to F is

17 / 45

A cell of internal resistance r is connected to an external resistance R. The current will be maximum in R, if

18 / 45

The effective capacitance of combination of equal capacitors between points A and B shown in figure is

19 / 45

10 g of ice at 0ºC is mixed with 100 g of water at 50ºC. What is the resultant temperature of mixture?

20 / 45

One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W_{1} is suspended from its lower end. If s is the area of cross section of the wire, the stress in the wire at a height 3L/4 from its lower end is

21 / 45

A point charge of magnitude + 1 μC is fixed at (0, 0, 0). An isolated uncharged spherical conductor, is fixed with its center at (4, 0, 0). The potential and the induced electric field at the centre of the sphere is :

22 / 45

A vessel of depth x is half filled with oil of refractive index μ_{1} and the other half is filled with water of refractive index μ_{2}. The apparent depth of the vessel when viewed from above is

23 / 45

The moment of inertia of a regular circular disc of mass 0.4 kg and radius 100 cm about the axis perpendicular to the plane of the disc and passing through its centre is

24 / 45

The electric field at a distance r from the centre in the space between two concentric metallic spherical shells of radii r_{1} and r_{2} carrying charge Q_{1} and Q_{2} is (r_{1} < r < r_{2})

25 / 45

The angular velocities of three bodies in simple harmonic motion are ω_{1}, ω_{2}, ω_{3} with their respective amplitudes as A_{1}, A_{2}, A_{3}. If all the three bodies have same mass and velocity, then

26 / 45

Which of the following waves have the maximum wavelength ?

27 / 45

Two equal masses m_{1} and m_{2} moving along the same straight line with velocities + 3 m/s and – 5m/s respectively, collide elastically. Their velocities after the collision will be respectively

28 / 45

Light of wavelength 200 Å fall on aluminium surface. Work function of aluminium is 4.2 eV. What is the kinetic energy of the fastest emitted photoelectrons?

29 / 45

Which one of the following is NOT a correct statement about semi-conductors?

30 / 45

The graph (fig.) below describes the motion of a ball rebounding from a horizontal surface being released from a point above the surface. Assume the ball collides each time with the floor inelastically. The quantity represented on the yaxis is the ball's (take upward direction as positive)

31 / 45

Upper part of a prism is cut. The ray diagram of a ray incident at first refracting surface is as shown in figure. The minimum deviation that can be produced by the prism is

32 / 45

The sprinkling of water reduces slightly the temperature of a closed room because

33 / 45

Heat is required to change 1 kg of ice of –20ºC into steam. Q_{1} is the heat needed to warm the ice from –20ºC to 0ºC, Q_{2} is the heat needed to melt the ice, Q_{3} is the heat needed to warm the water from 0ºC to 100ºC and Q_{4} is the heat needed to vaporize the water. Then

34 / 45

Impedance of circuit when a resistance R and an inductor of inductance L are connected in series in an A. C. circuit of frequency n, is

35 / 45

The dimensions of angular momentum, latent heat and capacitance are, respectively.

36 / 45

Heat energy absorbed by a system in going through a cycle process shown in figure is

37 / 45

Two bodies of masses m and 4m are moving with equal kinetic energies. The ratio of their linear momenta will be

38 / 45

An aeroplane flying at a constant speed releases a bomb. As the bomb moves away from the aeroplane, it will

39 / 45

If the wavelength of the first line of the Balmer series in the hydrogen spectrum is λ, then the wavelength of the first line of the Lyman series is

40 / 45

Masses of 1 kg each are placed 1 m, 2 m, 4 m, 8 m,..... from a point P. The gravitational field intensity at P due to these masses is

41 / 45

Figure shows a small mass connected to a string, which is attached to a vertical post. If the ball is released when the string is horizontal as shown, the magnitude of the total acceleration of the mass as a function of the angle q is:

42 / 45

The maximum electric field that can be held in air without producing ionisation of air is 10^{7} V/m. The maximum potential therefore, to which a conducting sphere of radius 0.10 m can be charged in air is

43 / 45

In Young’s double-slit experiment, the separation between the slits is halved and the distance between the slits and the screen is doubled. The fringe width is

44 / 45

We have a galvanometer of resistance 25 Ω . It is shunted by a 2.5 Ω wire. The part of total current that flows through the galvanometer is

45 / 45

A pulley of radius 2 m is rotated about its axis by a force F = (20t – 5t^{2}) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg-m^{2} the number of rotations made by the pulley before its direction of motion is reversed, is:

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23/04/2020 / Leave a comment

Let Ea be the electric field due to a dipole in its axial plane distant l and E_{q} be the field in the equatorial plane distant l', then the relation between E_{a} and E_{q} will be

When a wave travels in a medium the particles displacement is given by the equation y = 0.03 sin π(2t – 0.01x), where x and y are in seconds. The wavelength of the wave is

What is the acceleration of a projectile at its heighest point

The height at which the acceleration due to gravity becomes g/9 (where g = the acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth, is

A mass m is suspended from a spring of force constant k and just touches another identical spring fixed to the floor as shown in the figure. The time period of small oscillations is

A mass of 2kg is whirled in a horizontal circle by means of a string at initial speed of 5 revolution per minute. Keeping the radius constant, the tension in the string is doubled. The new speed is nearly

A uniform magnetic field acts at right angles to the direction of motion of electron. As a result, the electron moves in a circular path of radius 2 cm. If the speed of electron is doubled, then the radius of the circular path will be

A vector A is rotated by a small angle Δθ radian (Δθ << 1) to get a new vector B. In that case ∣B-A∣ is :

For the given situation as shown in the figure, the value of θ to keep the system in equilibrium will be

The oscillating electric and magnetic field vectors of electromagnetic wave are oriented along

In a compound microscope, the intermediate image is

Solar radiation emitted by sun resembles that emitted by a black body at a temperature of 6000 K. Maximum intensity is emitted at a wavelength of about 4800 Å. If the sun were to cool down from 6000 K to 3000K, then the peak intensity would occur at a wavelength

Two spherical conductors A and B of radii a and b (b>a) are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is

If unit of length and force are increased 4 times.The unit of energy

A body of mass 3 kg is under a constant force which causes a displacement s in meter in it, given by the relation s = 1/3 t^{2} , where t is in second. Work done by the force in 2 second is

Under a constant torque the angular momentum of a body changes from A to 4A in 4 second. The torque on the body will be

A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

When an electron jumps from the fourth orbit to the second orbit, one gets the

Two flat circular coils have a common center, but their planes are at right angles to each other.The inner coil has 150 turns and radius of π cm.The outer coil has 400 turns and a radius of 2π cm. The magnitude of the resultant magnetic induction at the common centers of the coils when a current of 200 mA is sent through each of them is

Two point dipoles of dipole moment p_{1} and p_{2 }are at a distance x from each other and p_{1}‖ p_{2 }The force between the dipoles is :

Two identical galvanometers are taken, one is to be converted into an ammeter and other into a milliammeter. Shunt of milliammeter compared to ammeter is

The cathode of a photoelectric cell is changed such that the work function changes from W_{1} to W_{2} (W_{2} > W_{1}). If the current before and after changes are I1 and I2, all other conditions remaining unchanged, then (assuming hv > W_{2})

The meniscus of a liquid contained in one of the limbs of a narrow U-tube is held in an electromagnet with the meniscus in line with the field. The liquid is seen to rise. This indicates that the liquid is

The specific heat capacity of a metal at low temperature (T) is given as Cp(kJK^{-1}Kg^{-1}) = 32(T/400)^{3 }.A 100 g vessel of this metal is to be cooled from 20 K to 4 K by a special refrigerator operating at room temperature (27°C). The amount of work required to cool in vessel is

Two coherent monochromatic light beams of intensities I and 4 I are superimposed. The maximum and minimum possible intensities in the resulting beam are

A photoelectric cell is illuminated by a point source of light 1 m away. When the source is shifted to 2 m, then

Two wires of same material and length but crosssections in the ratio 1 : 2 are used to suspend the same loads. The extensions in them will be in the ratio of

An electric bulb marked 40 W and 200V, is used in a circuit of supply voltage 100V. Now its power is

The Bulk modulus for an incompressible liquid is

The kinetic theory of gases

The moment of inertia of a disc of mass m and radius R about an axis, which is tangential to the circumference of the disc and parallel to its diameter is

In a two dimensional motion, instantaneous speed v_{0} is a positive constant. Then which of the following is necessarily true?

A transformer is employed to

A sphere of radius R has uniform volume charge density. The electric potential at a point (r < R) is

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency w. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

A particle starting from rest falls from a certain height. Assuming that the acceleration due to gravity remain the same throughout the motion, its displacements in three successive half second intervals are S_{1}, S_{2} and S_{3} then

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (Take G = 6.67× 10^{–11}Nm^{2}/kg^{2})

A particle is moving in a circle of radius r under the action of a force F = αr^{2} which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy = 0 for r = 0) :

When a p-n junction diode is reverse biased the flow of current across the junction is mainly due to

The current I drawn from the 5 volt source will be

A ball of mass 150 g, moving with an acceleration 20 m/s^{2}, is hit by a force, which acts on it for 0.1 sec. The impulsive force is

An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62°C, its efficiency is doubled. Temperature of the source is

A man is watching two trains, one leaving and the other coming with equal speed of 4 m/s. If they sound their whistles each of frequency 240 Hz, the number of beats heard by man (velocity of sound in air = 320 m/s) will be equal to

The coefficient of self inductance of a solenoid is 0.18 mH. If a core of soft iron of relative permeability 900 is inserted, then the coefficient of self inductance will become nearly

Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is

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13/04/2020 / Leave a comment

A particle of mass m_{1} is moving with a velocity v_{1} and another particle of mass m_{2} is moving with a velocity v_{2}. Both of them have the same momentum but different kinetic energies are E_{1} and E_{2} respectively. If m_{1} > m_{2} then

When a ray of light enters a glass slab from air,

How many electrons make up a charge of 20 μC?

A boat is sent across a river with a velocity of 8 km/h. If the resultant velocity of boat is 10 km/h , then the velocity of the river is

If Q, E and W denote respectively the heat added, change in internal energy and the work done in a closed cyclic process, then

The basic magnetization curve for a ferromagnetic material is shown in figure. Then, the value of relative permeability is highest for the point

An ideal gas A and a real gas B have their volumes increased from V to 2V under isothermal conditions. The increase in internal energy

Which one is possible?

An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy E_{0}. Its potential energy is

Monochromatic light of frequency 6.0 × 10^{14} Hz is produced by a laser. The power emitted is 2 × 10^{-3} W. The number of photons emitted, on the average, by the source per second is

Yellow light is used in a single slit diffraction experiment with slit width of 0.6 mm. If yellow light is replaced by X– rays, then the observed pattern will reveal,

A shunt of resistance 1 Ω is connected across a galvanometer of 120 Ω resistance. A current of 5.5 ampere gives full scale deflection in the galvanometer. The current that will give full scale deflection in the absence of the shunt is nearly :

10 cm is a wavelength corresponding to the spectrum of

A fully charged capacitor C with initial charge Q_{0} is connected to a coil of self inductance L at t = 0. The time at which the energy is stored equally between the electric and the magnetic field is

Two coherent plane light waves of equal amplitude makes a small angle α (< < 1) with each other. They fall almost normally on a screen. If λ is the wavelength of light waves, the fringe width Δx of interference patterns of the two sets of waves on the screen is

The magnetic lines of force inside a bar magnet

An open U-tube contains mercury. When 11.2 cm of water is poured into one of the arms of the tube, how high does the mercury rise in the other arm from its initial level?

Of the various series of the hydrogen spectrum, the one which lies wholly in the ultraviolet region is

If a spherical ball rolls on a table without slipping the fraction of its total energy associated with rotational energy is

The electrostatic potential inside a charged spherical ball is given by Φ = ar^{2} + b where r is the distance from the centre and a, b are constants.Then the charge density inside the ball is:

The pressure P of an ideal gas and its mean K.E. per unit volume are related as

In the network shown, each resistance is equal to R. The equivalent resistance between adjacent corners A and D is

Three straight parallel current carrying conductors are shown in the figure. The force experienced by the middle conductor of length 25 cm is:

A steel wire of length 20 cm and uniform crosssection 1 mm^{2} is tied rigidly at both the ends.The temperature of the wire is altered from 40ºC to 20ºC. Coefficient of linear expansion for steel α = 1.1 × 10^{-5}/ºC and Y for steel is 2.0 × 10^{11} N/m^{2}. The change in tension of the wire is

A conducting square frame of side ‘a’ and a long staight wire carrying current I are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity ‘V’.The emf induced in the frame will be proportional to

Which one of the following statements is false ?

A metal sample carrying a current along X-axis with density J_{x} is subjected to a magnetic field B_{z} (along z-axis). The electric field E_{y} developed along Y-axis is directly proportional to Jx as well as B_{z}. The constant of proportionality has SI unit.

The effective acceleration of a body when thrown upwards with acceleration a is

The equation of plane wave is given by y=2sinπ(200t-x/15) where displacement y is given in cm and time t in second, then the velocity of the wave is

A small ball of mass m starts at a point A with speed v_{0} and moves along a frictionless track AB as shown. The track BC has coefficient of friction μ . The ball comes to stop at C after travelling a distance L which is:

A telescope has an objective lens of focal length150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ , then θ is close to :

The transformer voltage induced in the secondary coil of a transformer is mainly due to

The distance travelled by a body moving along a line in time t is proportional to t_{3}. The acceleration-time (a, t) graph for the motion of the body will be

A body cools from 50.0°C to 48°C in 5s. How long will it take to cool from 40.0°C to 39°C? Assume the temperature of surroundings to be 30.0°C and Newton's law of cooling to be valid.

A motor car is travelling at 30 m/s on a circular road of radius 500 m. It is increasing in speed at the rate of 2 m/s^{2}. Then the acceleration of the car will be

A body of mass 5 kg under the action of constant force F=F_{x}i+F_{y}j (where i and j are unit vector in x and y direction) has velocity at t=0 s as V=6i-2j m/s and at t=10 s as V = +6J m/s. The for force F is?

A primary cell has an e.m.f. of 1.5 volt. When short-circuited it gives a current of 3 ampere. The internal resistance of the cell is

The angles which the vector A = 3ˆi + 6ˆj + 2kˆ makes with the co-ordinate axes are

In the Bohr’s model of hydrogen-like atom the force between the nucleus and the electron is modified as F=e^{2}/4πε_{0}(1/r^{2}+β/r^{3}) where β is a constant. For this atom, the radius of the n^{th} orbit in terms of the Bohr radius (a_{0}=ε_{0}h^{2}mπe^{2}) is

The escape velocity for a body projected vertically upwards from the surface of a planet ‘X’ is 22 km/s. If the body is projected at an angle of 45°with the vertical, the escape velocity will be

The moment of inertia of disc about a tangent axis in its plane is

The figure shows a combination of two NOT gates and a NOR gate

The combination is equivalent to a

An electric fan and a heater are marked as 100 W, 220 V and 1000 W, 220 V respectively. The resistnace of heater is

When sound waves travel from air to water, which one of the following remains constant?

A charged particle q is placed at the centre O of cube of length L (A B C D E F G H). Another same charge q is placed at a distance L from O.Then the electric flux through ABCD is

The average score is 23%

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When light of wavelength 300 nm (nanometre) falls on a photoelectric emitter, photoelectrons are liberated. For another emitter, however, light of 600 nm wavelength is sufficient for creating photoemission. What is the ratio of the work functions of the two emitters?

The correct statement of the law of equipartition of energy is

Equipotential surfaces associated with an electric field which is increasing in magnitude along the x-direction are

A tuning fork of frequency 392 Hz, resonates with 50 cm length of a string under tension (T).If length of the string is decreased by 2%, keeping the tension constant, the number ofbeats heard when the string and the tuning fork made to vibrate simultaneously is

A doubly ionised Li atom is excited from its ground state(n = 1) to n = 3 state. The wavelengths of the spectral lines are given by λ_{32} , λ_{31} and λ_{21}. The ratio λ_{32} / λ_{31 }and λ_{21} / λ_{31 }are, respectively.

Thermal capacity of 40 g of aluminium (s = 0.2 cal/g K) is

The turn ratio in a step up transformer is 1 : 2 if a Lechlanche cell of 1.5 V is connected across the input, then the voltage across the output will be

In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertically below point A, then BC/AB is close to :

The Fraunhoffer ‘diffraction’ pattern of a single slit is formed in the focal plane of a lens of focal length 1 m. The width of slit is 0.3 mm. If third minimum is formed at a distance of 5 mm from central maximum, then wavelength of light will be

In thermodynamic processes, which of the following statements is not true?

A simple pendulum of length l has a maximum angular displacement θ . The maximum kinetic energy of the bob is

An electric dipole placed in a non-uniform electric field experiences

The linear velocity of a rotating body is given by

V=ω x r

If ω = i -2j+2k , r = 4j-3k then the magnitude of v is

Light enters at an angle of incidence in a transparent rod of refractive index n. For what value of the refractive index of the material of the rod the light once entered into it will notleave it through its lateral face whatsoever be the value of angle of incidence?

Magnetic flux f in weber in a closed circuit of resistance 10W varies with time f (sec) as f = 6t^{2}– 5t + 1. The magnitude of induced current at t = 0.25s is

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 km s^{-1}, the escape velocity from the surface of the planet would be

What is the work done in blowing a soap bubble of radius 0.2 m ? (The surface tension of soap solution is 0.06 N/m)

Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field B_{1}, at its centre when a current I passes through it. The ratio B_{1} : B_{2} is:

The transfer ratio β of a transistor is 50. The input resistance of the transistor when used in the common emitter configuration is 1kW . The peak value of the collector A.C. current for an A.C. input voltage of 0.01 V, is

Two parallel large thin metal sheets have equal surface charge densities (σ = 26.4 × 10^{-12} c/m^{2}) of opposite signs. The electric field between these sheets is

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

The binding energy of deuteron (_{1}H^{2} ) is 1.15 MeV per nucleon and an alpha particle (_{2}He^{4} ) has a binding energy of 7.1 MeV per nucleon.Then in the reaction

_{1}H^{2}+_{1}H^{2}→_{2}He^{4} + Q

the energy released Q is

A man weighing 80 kg, stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of 5m/s^{2}. What would be the reading on the scale ? (g = 10 m/s^{2})

The molar specific heat at constant pressure of an ideal gas is (7/2) R. The ratio of specific heat at constant pressure to that at constant volume is

A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position ofthe iamge of the air bubble made by the mirror is seen :

The condition for an achromatic doublet, is ( f_{1} and f_{2} are the focal lengths of individual lenses)

Steam at 100ºC is passed into 1.1 kg of water contained in a calorimeter of water equivalent 0.02 kg at 15ºC till the temperature of the calorimeter and its contents rises to 80ºC. The mass of the steam condensed in kg is

In figure a system of four capacitors connected across a 10 V battery is shown. Charge that will flow from switch S when it is closed is :

A conical pendulum of length 1 m makes an angle θ = 45° w.r.t. Z-axis and moves in a circle in the XY plane.The radius of the circle is 0.4 m and its centre is vertically below O. The speed of the pendulum, in its circular path, will be : (Take g = 10 ms^{-2})

In the network shown below, the ring has zero resistance. The equivalent resistance between the point A and B is

A body falls on the ground from a height of 10 m and rebounds to a height of 2.5 m. Then the ratio of velocities of the body just before and just after the collision will be

The pressure of an ideal gas varies with volume as P = α V, where α is a constant. One mole of the gas is allowed to undergo expansion such that its volume becomes ‘m’ times its initial volume. The work done by the gas in the process is

The initial speed of a bullet fired from a rifle is 630 m/s. The rifle is fired at the centre of a target 700 m away at the same level as the target. How far above the centre of the target ?

If yellow light emitted by sodium lamp in Young’s double slit experiment is replaced by a monochromatic blue light of the same intensity

A body is initially at rest. It undergoes onedimensional motion with constant acceleration. The power delivered to it at time t is proportional to :

The mid points of two small magnetic dipoles of length d in end-on positions, are separated by a distance x, (x > > d). The force between them is proportional to x–n where n is:

A piece of copper and another of germanium are cooled from room temperature to 80° K. The resistance of

A cord is wound round the circumference of the wheel of radius r. The axis of the wheel is horizontal and the moment of inertia about its centre is I. A weight mg is attached to the cord at the end. The weight falls from rest. After falling through a distance h, the angular velocity of the wheel will be

A stone tied to one end of string of 1m long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 sec, the magnitude of the acceleration of the stone is

Two bodies moving towards each other collide and move away in opposite direction. There is some rise in temperature of bodies because a part of the kinetic energy is converted into

Magnetic flux through a coil of resistance 10 W is changed by ΔΦ in 0.1 s. The resulting current in the coil varies with time as shown in the figure.Then |ΔΦ| is equal to (in weber)

If an AC main supply is given to be 220 V. The average emf during a positive half cycle will be

A student when discussing the properties of a medium (except vacuum) writes : Velocity of light in vacuum = velocity of light in medium. This formula is

Two bullets are fired horizontally with different velocities from the same height. Which will reach the ground first?

The average score is 24%

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Let np and ne be the number of holes and conduction electrons in an intrinsic semiconductor.Then

The tuning circuit of a radio receiver has a resistance of 50 Ω, an inductance of 10 mH and a variable capacitance C. A 1 MHz radio wave produces a potential difference of 0.1 mV. The value of capacitance to produce the resonance will be

In Young’s expt., the distance between two slits is d/3 and the distance between the screen and the slit is 3 D. The number of fringes in 1/3m on the screen, formed by monochromatic light of wavelength 3λ, will be

In the electric network shown, when no current flows through the 4Ω resistor in the arm EB, the potential difference between the points A and D will be :

Energy of simple harmonic motion depends upon

If the momentum of a particle is doubled, then its de-Broglie wavelength will become

What will happen when a 40 watt, 220 volt lamp and 100 watt, 220 volt lamp are connected in series across 40 volt supply?

If the capacitance of a capacitor is measured in terms of a unit ‘u’ made by combining the electric charge ‘e’ Bohr radius ‘a_{0}’ Planck’s constant ‘h’ and speed of light ‘c’ then:

If ‘S’ is stress and ‘Y’ is young’s modulus of material of a wire, the energy stored in the wire per unit volume is

A bar magnet of length 6 cm has a magnetic moment of 4 J T^{-1}. Find the strength of magnetic field at a distance of 200 cm from the centre of the magnet along its equatorial line.

If a current increases from zero to one ampere in 0.1 second in a coil of 5 mH, then the magnitude of the induced e.m.f. will be

A coil in the shape of an equilateral triangle of side l is suspended between the pole pieces of a permanent magnet such that B is in plane of the coil. If due to a current i in the triangle a torque τ acts on it, the side l of the triangle is

Weightlessness in satellite is due to

Two deuterons undergo nuclear fusion to form a Helium nucleus. Energy released in this process is : (given binding energy per nucleon for deuteron=1.1 MeV and for helium=7.0 MeV)

The minimum energy required to eject an electron, from the metal surface is called

A particle of mass 2 kg is moving such that at time t, its position, in meter, is given by r(t) = 5ˆi - 2t^{2} ˆj . The angular momentum of the particle at t = 2s about the origin in kg m^{-2} s^{-1} is :

A point object is 24 cm above the surface of water (μ = 4/3) in lake. A fish inside the water will observe the image to be at a point

A projectile is fired from the surface of the earth with a velocity of 5 ms^{-1} and angle q with the horizontal. Another projectile fired from another planet with a velocity of 3 ms^{-1} at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms^{-2}) given g = 9.8 m/s^{2}

A charge of total amount Q is distributed over two concentric hollow spheres of radii r and R (R > r) such that the surface charge densities on the two spheres are equal. The electric potential at the common centre is

A fixed mass of gas at constant pressure occupies a volume V. The gas undergoes a rise in temperature so that the root mean square velocity of its molecules is doubled. The new volume will be

A capillary tube is immersed vertically in water and the height of the water column is x. When this arrangement is taken into a mine of depth d, the height of the water column is y. If R is the radius of earth, the ratio x/y is:

When the amount of work done is 300 J and change in internal energy is 100 J, then the heat supplied is

A gun is aimed at a horizontal target. It takes 1/2 s for the bullet to reach the target. The bullet hits the target x metre below the aim. Then, x is equal to

Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr’s atomic model?

The sky appears blue, because

Current gain in common emitter configuration is more than 1 because

Three positive charges of equal value q are placed at vertices of an equilateral triangle. The resulting lines of force should be sketched as in

If microwaves, X rays, infrared, gamma rays, ultra-violet, radio waves and visible parts of the electromagnetic spectrum are denoted by M, X, I, G, U, R and V then which of the following is the arrangement in ascending order of wavelength ?

A monkey is accelerating down a string whose breaking strength is two third of his weight. The minimum acceleration of the monkey should be

A steel rod of radius R = 10 mm and length L= 100 cm is stretched along its length by a force F = 6.28 × 10^{4} N. If the Young’s modulus of steel is Y = 2 ×10^{11} N/m^{2}, the percentage elongation in the length of the rod is

In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq. A good estimate for q is:

A Carnot engine is working between 127°C and 27°C. The increase in efficiency will be maximum when the temperature of

A force of 10 N acts on a body of mass 20 kg for 10 seconds. Change in its momentum is

When the current in an ac circuit is wattless, the phase difference between the applied voltage and circuit current will be

A crane is used to lift 1000 kg of coal from a mine 100 m deep. The time taken by the crane is 1 hour. The efficiency of the crane is 80%. If g = 10 ms^{-2}, then the power of the crane is

The magnitude of the average electric field normally present in the atmosphere just above the surface of the Earth is about 150 N/C, directed inward towards the center of the Earth. This gives the total net surface charge carried by the Earth to be: [Given ε_{0} = 8.85 × 10^{-12} C^{2}/N-m^{2}, R_{E} = 6.37 × 10^{6 }m]

Potentiometer measures potential more accurately because

The relation between B, H and I in S.I. units is

If the number of turns per unit length of a coil of a solenoid is doubled, the self inductance of the solenoid will

Two waves whose intensities are 9 and 16 are made to interfere. The ratio of maximum and minimum intensities in the interference pattern is

Two holes of unequal diameter d_{1} and d_{2} (d_{1} >d_{2}) are cut in a metal sheet. If the sheet is heated

Which of the following option correctly describes the variation of the speed v and acceleration 'a' of a point mass falling vertically in a viscous medium that applies a force F = –kv,where 'k' is a constant, on the body? (Graphs are schematic and not drawn to scale)

A letter 'A' is constructed of a uniform wire with resistance 1.0 Ω per cm, The sides of the letter are 20 cm and the cross piece in the middle is 10 cm long. The apex angle is 60 . The resistance between the ends of the legs is close to:

A mass of 1 kg is suspended by a thread.

It is (i) lifted with an acceleration 4.9 m/s^{2}

(ii) lowered with an acceleration 4.9 m/s^{2}.

The ratio of the tension is

The graph of an object’s motion (along the x-axis) is shown in the figure. The instantaneous velocity of the object at points A and B are v_{A} and v_{B} respectively. Then

The average score is 26%

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(2) Duration of Test is 1 Hour and Questions Paper Contains 90 Questions. The Max. Marks are 360.

1 / 90

During Na^{+} – K^{+} pump

2 / 90

Barr body in mammals represents

3 / 90

cDNA probes are copied from the messenger RNA molecules with the help of –

4 / 90

A person likely to develop tetanus is immunised by administering

5 / 90

The technique of obtaining large number of plantlets by tissue culture method is called

6 / 90

Which one of the following statements is correct with respect to salt water balance inside the body of living organisms?

7 / 90

Select the incorrect statement from the following:

8 / 90

CML (Chronic Myeloid Leukaemia) is due to

9 / 90

Deficiency of molybdenum (Mo) causes

10 / 90

An example of a holocrine gland is

11 / 90

Antidiuretic hormone

12 / 90

The technique used for estimation of minute amounts of hormones and drugs is called

13 / 90

Housefly possesses

14 / 90

Primary precursor of IAA is

15 / 90

A population of genetically identical individuals, obtained from asexual reproduction is

16 / 90

Fertilization occurs in, human, rabbit and other placental mammals in –

17 / 90

Sour taste of vinegar is due to

18 / 90

In increasing order of organizational complexity, which one of the following is the correct sequence?

19 / 90

The ‘Earth Summit’ held at Rio de Janerio in 1992 resulted into

20 / 90

Apical dominance in plants is caused by

21 / 90

Which one of the following statements about Mycoplasma is wrong ?

22 / 90

Which one of the following is a matching pair of a substrate and its particular digestive enzyme?

23 / 90

Biometric genetics deals with :

24 / 90

In a cereal grain the single cotyledon of embryo is represented by

25 / 90

Tying up or removing a small part of fallopian duct is called

26 / 90

In which one of the following habitats does the diurnal temperature of soil surface vary most?

27 / 90

What happens during fertilisation in humans after many sperms reach close to the ovum?

28 / 90

What base is responsible for hot spots for spontaneous point mutations?

29 / 90

A major component of gobar gas is –

30 / 90

Silencing of mRNA has been used in producing transgenic plants resistant to:

31 / 90

Chromosome duplication without nuclear division refers to

32 / 90

Which one of the following structural formulae of two organic compounds is correctly identified along with its related function ?

33 / 90

Cell elongation in internodal regions of the green plants takes place due to

34 / 90

A tylose is formed form :

35 / 90

Expression vectors are different from other vectors because they

36 / 90

Muscle A and muscle B are the same size, but muscle A is capable of much finer control than muscle B. Which one of the following is likely to be true of muscle A?

37 / 90

Pulses belong to the family

38 / 90

Chloramphenicol and erythromycin (broad spectrum antibiotics) are produced by

39 / 90

Cyclosporine is used as :

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