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Question Paper (Section wise)

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

    If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

    1. Time period of a simple pendulum on the Earth would decrease.

    2. Walking on the ground would become more difficult.

    3. Raindrops will fall faster.

    4. 'g' on the Earth will not change.

  • 2)

    A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

    1. Rotational kinetic energy

    2. Moment of inertia

    3. Angular velocity

    4. Angular momentum

  • 3)

    A metallic rod of mass per unit length 0.5 kg m-1 is lying horizontally on a smooth inclined plane which makes an angle of 30° with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction 0.25 T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is

    1. 14.76 A

    2. 5.98 A

    3. 7.14 A

    4. 11.32 A

  • 4)

    An inductor 20 mH, capacitor 100 μF and a resistor 50 Ω are connected in series across a source of emf, V = 10 sin 314 t. The power loss in the circuit is

    1. 2.74 W

    2. 0.43 W

    3. 0.79 W

    4. 1.13 W

  • 5)

    A thin diamagnetic rod is placed vertically between the poles of an electromagnet. When the current in the electromagnet is switched on, the diamagnetic rod is pushed up, out of the horizontal magnetic field. Hence the rod gains gravitational potential energy. The work required to do this comes from

    1. the lattice structure of the material of the rod

    2. the magnetic field

    3. the current source

    4. the induced electric field due to the changing magnetic field

  • 6)

    Current sensitivity of a moving coil galvanometer is 5 div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is 20 div/V. The resistance of the galvanometer is

    1. 250Ω

    2. 25Ω

    3. 40Ω

    4. 500Ω

  • 7)

    In the circuit shown in the figure, the input voltage Vi is 20 V, VBE = 0 and VCE = 0. The values of IB, IC and β are given by

    1. IB = 20μA, IC = 5mA, β = 250

    2. IB = 25μA, IC = 5mA, β = 200

    3. IB = 40μA, IC = 10mA, β = 250

    4. IB = 40μA, IC = 5mA, β = 125

  • 8)

    In a p-n junction diode, change in temperature due to heating

    1. does not affect resistance of p-n junction

    2. affects only forward resistance

    3. affects only reverse resistance

    4. affects the overall V – I characteristics of p-n junction.

  • 9)

    In the combination of the following gates the output Y can be written in terms of inputs A and B as

  • 10)

    Suppose the charge of a proton and an electron differ slightly. One of them is –e, the other is (e+ ∆e). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then ∆e is of the order od [Given mass of hydrogen mh = 1.67 × 10-27 kg]

    1. 10-23 C

    2. 10-37 C

    3. 10-47 C

    4. 10-20 C

  • 11)

    The resistance of a wire is ‘R’ ohm. If it is melted and stretched to ‘n’ times its original length, its new resistance will be:

    2. n2R

    4. nR

  • 12)

    The given electrical network is equivalent to:

    1. OR gate

    2. NOR gate

    3. NOT gate

    4. AND gate

  • 13)

    The de-Broglie wavelenght of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is:

  • 14)

    Which one of the following represents forward bias diode?

  • 15)

    A long solenoid of diameter 0.1 m has 2 × 104 turns per meter. At the center of the solenoid, a coli of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate of 0A form 4 A in 0.05 s. If the charge flowing through the coli during this time is:

    1. 16 μC

    2. 32 μC

    3. 16 πμC

    4. 32 πμC

  • 16)

    Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t1. On other days, If she remains stationary on the moving escalator, then the escalator takes her up in time t2. The time taken by her to walk up on the moving escalator will be:

    3. t1 – tz

  • 17)

    Young’s double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly.

    1. 1. 59

    2. 1. 69

    3. 1. 78

    4. 1. 25

  • 18)

    A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ, the spot of the light is found to move through a distance y on the scale. The angle θ is given by:

  • 19)

    Planck’s constant (h), speed of light in vacuum (c) and Newton’s gravitational constant (G) are three fundamental constant, which of the following combinations of these has the dimension of length?

  • 20)

    Two cars P and Q start from a point at the same time a straight line and their positions are represented by xp (t) = at + bt2 and xQ (t) = ft – t2. At what time do the cars have the same velocity?

  • 21)

    In the given figure, a = 15 m/s2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is

    1. 6.2 m/s

    2. 4.5 m/s

    3. 5.0 m/s

    4. 5.7 m/s

  • 22)

    A rigid ball of mass m strikes a rigid all at 60° and gets reflected without loss of speed as shown in the figure below. The value of impulse imparted by the wall on the ball will be

    2. mV

    3. 2 mV

  • 23)

    A bullet of mass 10 g moving horizontally with a velocity of 400 ms-1 strikes a wooden block of mass 2 kg which is suspended by a light inextensible string of length 5 m. As a result, the center of gravity of the block is found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be

    1. 160 ms-1

    2. 100 ms-1

    3. 80 ms-1

    4. 120 ms-1

  • 24)

    Two identically balls A and B having velocities of 0.5 m/s and -0.3 m/s respectively collide elastically in one dimension. The velocities of B and A  after the collision respectively will be

    1. 0.3 m/s and 0.5 m/s

    2. -0.5 m/s and 0.3 m/s

    3. 0.5 m/s and -0.3 m/s

    4. -0.3 m/s and 0.5 m/s

  • 25)

    A particle moves from a point  to when a force of  N is applied. How much work has been done by the force?

    1. 2 J

    2. 8 J

    3. 11 j

    4. 5 J

  • 26)

    Two rotating bodies A and B of masses m and 2 m with moments of inertia IA and IB (IB > IA) have equal kinetic energy of rotation. If LA and LB be be their angular momenta respectively, then

    1. LA > LB

    3. LA = 2LB

    4. LB > LA

  • 27)

    A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere the ratio of their kinetic energies of rotation (Esphere / Ecylinder) will be

    1. 3:1

    2. 2:3

    3. 1:5

    4. 1:4

  • 28)

    A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of mass m2 is attached to the free end of the rope. A transverse pulse of wavelength λ1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the ropes is λ2. The ratio λ2/ λ1 is:

  • 29)

    A refrigerator works between 4°C and 30°C. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is: (Take 1 cal = 4.2 Joules)

    1. 2.365 W

    2. 23.65W

    3. 236.5W

    4. 2365W

  • 30)

    An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm, the next larger length of the column resonating with the same tuning fork is:

    1. 66.7 cm

    2. 100 cm

    3. 150 cm

    4. 200 cm

  • 31)

    Consider the junction diode as ideal. The value of current flowing through AB is:

    1. 0 A

    2. 10-2 A

    3. 10-1 A

    4. 10-3 A

  • 32)

    The charge flowing through a resistance R varies with time t as Q = at – bt2, where a and b are positive constants. The total heat produced in R is:

  • 33)

    A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3. Wien’s constant, b = 2.88 × 106 nmK. Which of the following is correct?

    1. U1 = 0

    2. U3 = 0

    3. U1 > U2

    4. U2 > U1

  • 34)

    Coefficient of linear expansion of brass and steel rods are α1 and α2. Length of brass and steel rods are l1 and l2 respectively. If (l2–l1) is maintained same at all temperatures, which one of the following relations holds good?

    1. α1l2= α2l1

    4. α1 l1 = α2 l2

  • 35)

    A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of 800 Ω is connected in the collector circuit and the voltage drop across it is 0.8V. If the current amplification factor is 0.96 and the input resistance of the circuit is 192Ω, the voltage gain and the power gain of the amplifier will respectively be:

    1. 4, 3.84

    2. 3.69, 3.84

    3. 4, 4

    4. 4, 3.69

  • 36)

    The intensity at the maximum in a Young’s double slit experiment is I0. Distance between two slits is d = 5λ, where λ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D = 10 d?

  • 37)

    4.0 g of a gas occupies 22.4 litres at NTP, The specific heat capacity of the gas at constant volume is 5.0 JK-1. If the speed of sound in this gas at NTP is 952 ms-1, then the heat capacity at constant pressure is- (Take gas constant r = 8.3 JK-1 mo-1)

    1. 8.0 JK-1 mol-1

    2. 705 JK-1 mol-1

    3. 7.0 JK-1 mol-1

    4. 8.5 JK-1 mol-1

  • 38)

    If vectors  are functions of time, then the value of t at which they are orthogonal to each other is-

    4. t = 0

  • 39)

    In the given figure, a diode D is connected to an external resistance R = 100 Ω and an e. m. f. of 3.5 V. If the barrier potential developed across the diode is 0.5 V, the current in the circuit will be-

    1. 30 mA

    2. 40 mA

    3. 20 mA

    4. 35 mA

  • 40)

    If potential (in volts) in a region is expressed as V(x, y ,z) = 6xy – y + 2yz, the electric field (in N/C) at point (1, 1, 0) is-

  • 41)

    A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25 × 106m above the surface of earth. If earth’s radius is 6.38 × 106m and g = 9.8 ms-1, then the orbital speed of the satellite is-

    1. 7.76 kms-1

    2. 8.56 kms-1

    3. 9.13 kms-1

    4. 6.67 kms-1

  • 42)

    Two metal wires of identical dimensions are connected in series. If σ1 and σ2 are the conductivities of the metal wires respectively, the effective conductivity of the combination is

  • 43)

    A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compare to the satellite is very small compare to the mass of the earth. Then,

    1. The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant

    2. The total mechanical energy of S varies periodically with time.

    3. The linear momentum of S remains constant in magnitude

    4. The acceleration of S is always directed towards the center of the earth

  • 44)

    Two particles A and B, move with constant velocities At the initial momentum their position vectors are respectively. The condition for particles and B for their collision is-

  • 45)

    Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius r/2 and the lighter one is radius r. The tangential speed of lighter stone is an times that of the value of heavier stone when they experience same centripetal forces. The value of n is-

    1. 2

    2. 3

    3. 4

    4. 1

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