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Question 1
Positive Marks: 4 / Negative Marks: 1
  • 1)

    The ratio of the accelerations for a solid sphere (mass ‘m’ and radius ‘R’) rolling down an incline of angle ‘θ’ without slipping and slipping down the incline without rolling is:

    1. 5 : 7

    2. 2 : 3

    3. 2 : 5

    4. 7 : 5

  • 2)

    A black hole is an object whose gravitational fields is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 × 1024 kg) have to be compressed to be a black hole?

    1. 10-9 m

    2. 10-6 m

    3. 10-2 m

    4. 100 m

  • 3)

    Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by : -

  • 4)

    Copper of fixed volume V; is drawn into wire of length ‘l. When this wire is subjected to a constant force ‘F’, the extension produced in the wire is ∆l. Which of the following graphs is a straight line?

    2. Δl versus l2

    4. Δl versus l

  • 5)

    A certain number of spherical drops of a liquid of radius ‘r’ coalesce to form a single drop of radius ‘R’ and volume ‘V’. If ‘T’ is the surface tension of the liquid, then:

    4. Energy is neither released nor absorbed

  • 6)

    Steam at 100° C is passed into 20 g of water at 10°C. When water acquires a temperature of 80°C, the mass of water present will be: [Take specific heat of water = 1 cal g-1 °C-1 and latent heat of steam = 540 cal g-1]

    1. 24 g

    2. 31.5 g

    3. 42.5 g

    4. 22.5 g

  • 7)

    Certain quantity of water cools from 70° C to 60° C in the first 5 minutes and to 54°C in the next 5 minutes. The temperature of the surroundings is :-

    1. 45°C

    2. 20°C

    3. 42°C

    4. 10°C

  • 8)

    A monoatomic gas at a pressure p, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is :

    1. 64P

    2. 32P

    4. 16P

  • 9)

    A thermodynamic system undergoes cyclic process ABCDA as shown in fig. The work done by the system in the cycle is:

    1. P0 V0

    2. 2P0 V0

    4. zero

  • 10)

    The wavelength λe of an electron and λp of a photon of same energy E are related by:

    3. λp ∞ λe

  • 11)

    Ratio of longest wavelength corresponding to Lyman and Balmer series in hydrogen spectrum is-

  • 12)

    A current loop in a magnetic field

    1. Can be in equilibrium in two orientations, one stable while the other is unstable.

    2. Experiences a torque whether the field is uniform or non-uniform in all orientation

    3. Can be in equilibrium in one orientation

    4. Can be equilibrium in two orientations, both the equilibrium states are unstable

  • 13)

    A, B and C are three points in a uniform electric field. The electric potential is-

    1. Same at all the three points A, B and C

    2. Maximum at A

    3. Maximum at B

    4. Maximum at C

  • 14)

    A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is-

    3. g/L

    4. 2g/L

  • 15)

    A wire of resistance 4Ω is stretched to twice its original length. The resistance of stretched wire would be-

    1. 16 Ω

    2. 2 Ω

    3. 4 Ω

    4. 8 Ω

  • 16)

    The velocity of a projectile at the initial point A is  m/s. It’s velocity (in m/s) at point B is-

  • 17)

    A body of mass ‘m’ is taken from the earth’s surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be –

    2. mg2R

    4. 3 mgR

  • 18)

    A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is-

    1. h1 = h2 = h3

    2. h1 =2h2 = 3h2

    4. h2 = 3h1 and h3 = 3h2

  • 19)

    ABC is an equilateral triangle with O as its centre. represent three forces acting along the sides AB BC and AC respectively. If the total torque about O is zero then the magnitude of  is:

    2. 2(F1 + F2)

    3. F1 + F2

    4. F1 - F2

  • 20)

    When a mass is rotating in a plane about a fixed point, its angular momentum is directed along:-

    1. the radius

    2. the tangent to the orbit

    3. A line perpendicular to the plane of rotation.

    4. The line making an angle of 45° to the plane of rotation.

  • 21)

    A spherical planet has a mass Mp and Diameter Dp. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to:

    1. GMp/Dp2

    2. 4GMpm/Dp2

    3. 4GMp/Dp2

    4. GMp/Dp2

  • 22)

    A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is:-

    3. 5

    4. 10

  • 23)

    The height at which the weight of a body becomes 1/16th , its weight on the surface of earth (radius R), is:-

    1. 3R

    2. 4R

    3. 5R

    4. 15R

  • 24)

    Two sources of sound placed closed to each other, are emitting progressive waves given by

    Y1 = 4 sin 600 πl and y2 = 5 sin 608 πt

    An observer located near these two sources ration sound will near.

    1. 8 beats per sound with intensity ratio 81 : 1 between waxing and waning

    2. 4 beats per sound with intensity ratio 81 : 1 between waxing and waning

    3. 4 beats per sound with intensity ratio 25 ; 16 between waxing and waning

    4. 8 beats per sound with intensity ratio 25 : 16 between waxing and waning

  • 25)

    When a string is divided into three segments of length 𝓁1, 𝓁2 and 𝓁3 the fundamental frequencies of these three segments are V1, V2 and V3 respectively. The original fundamental frequency (V) of the string is:

    4. v = v1 + v2 + v3

  • 26)

    One mole of an ideal gas goes from an initial state A to final state B via two processes. It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct P-V diagram representing the two processes is:

  • 27)

    A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected by the during the cycle is;-

    2. PV

    3. 2PV

    4. 4PV

  • 28)

    The input resistance of a silicon transistor is 100 Ω. Base current is changed by 40 µA which results in a change in collector current by2mA. This transistor is used as a common emitter amplifier with a load resistance of 4 KΩ. The voltage gain of the amplifier is-

    1. 4000

    2. 1000

    3. 2000

    4. 3000

  • 29)

    A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is –

    2. ε0 EAD

    4. E2 Ad/ ε0

  • 30)

    If ve is escape velocity and v0 is orbital velocity of a satellite for orbit close to the earth’s surface, then these are related by:

    4. V0 = Ve

  • 31)

    In a coil of resistance 10 Ω, the induced current developed by changing magnetic flux through it. Is shown in figure as a function of time. The magnitude of change in flux through the coil in Weber is –

    1. 6

    2. 4

    3. 8

    4. 2

  • 32)

    A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an α – particle to describe a circle of same radius in the same field?

    1. 0.5 MeV

    2. 4 MeV

    3. 2 MeV

    4. 1 MeV

  • 33)

    To get an output Y = 1 in given circuit which of the following input will be correct:

  • 34)

    The equation of a simple harmonic wave is given by:

    Where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is –

    1. 3 π

    3. 2 π

  • 35)

    The dimensions of  (μ0ε0)-1/2 are

    1. [LT-1]

    2. [L1/2T1/2]

    3. [L1/2T-1/2]

    4. [L-1T]

  • 36)

    A train moving at a speed of 220 ms-1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is:

    (speed of sound in air is 330 ms-1)

    1. 5000 Hz

    2. 3000 Hz

    3. 3500 Hz

    4. 4000 Hz

  • 37)

    The rate of increases of thermos e.m.f. with temperature at the neutral temperature of a thermocouple-

    1. Is negative

    2. Is positive

    3. Is zero

    4. Depend upon the choice of the two materials of the thremocouple

  • 38)

    A current carrying closed loop in the form of a right angle isosceles triangle ABC is place in a uniform magnetic field acting along AB. If the magnetic force on the arm BC  is  , the force on the arm AC is-

  • 39)

    The power obtained in a reactor using U235 disintegration 100 kW. The mass decay of U235 per hour is-

    1. 1 microgram

    2. 10 microgram

    3. 20 microgram

    4. 40 microgram

  • 40)

    There are four light-weight-rod samples, A, B, C, D separately suspended by threads. A bar magnet is slowly brought near each sample and the following observations are noted-

    A is feebly repelled

    B is feebly attracted

    C is strongly attracted

    D remains unaffected

    Which one of the following is true?

    1. A is of a non-magnetic material

    2. B is of a paramagnetic material

    3. C is of a diamagnetic material

    4. D is of a ferromagnetic material

  • 41)

    The electric and the magnetic field, associated with an e.m. wave, propagating along the +z-axis, can be represented by-

  • 42)

    A uniform electric field and a uniform magnetic field are acting along the same direction in certain region. In an electron is projected in the region such that its velocity is pointed along direction of fields, then the electron

    1. Will turn towards left of direction of motion

    2. Will turn towards right of direction of motion

    3. Speed will decreases

    4. Speed will increases

  • 43)

    The current I in a coil varies with as shown in the figure. The variation of induced emf with time would

  • 44)

    In an ac circuit an alternating voltage  sin100t volts is connected to capacitor of capacity 1μF. The r.m.s. value of the current in the circuit is-

    1. 20 mA

    2. 10 mA

    3. 100 mA

    4. 200 mA

  • 45)

    An ac voltage is applied to a resistance R and inductor L in series. If R and inductive reactance are both equal to 3Ω, the phase difference between the applied voltage and the current in the circuit is-

    1. Zero

    2. π/6

    3. π/4

    4. π/2

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