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Question Paper (Section wise)

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

    Two magnetic dipoles X and Y are placed at a separation d, with their axes perpendicular to each other. The dipole moment of Y is twice that of X. A particle of charge q is passing through their mid-point P, at angle ? = 45° with the horizontal line as shown in the figure. What would be the magnitude of force on the particle at that instant? (d is much larger than the dimension of the dipole).

     

    1. 0

  • 2)

    A particle starts from origin O from rest and moves with a uniform acceleration along the positive x – axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time).

     

    a.

     

     

     

    b.

     

     

     

    c.

     

     

     

    d.

    1. a, b, c

    2. a

    3. b, c

    4. a, b, d

  • 3)

    The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity form the earth is closest to:

    [Boltzman’s Constant kB = 1.38 × 10-23 J/k

    Avogadro number N? = 6.02 × 1026 / kg

    Radius of Earth: 6.4 × 106 m

    Gravitation acceleration on Earth = 10 ms2]

    1. 800k

    2. 104 K

    3. 3 × 105

    4. 650 K

  • 4)

    A common emitter amplifier circuit, built using an npn transistor, is shown in the figure. Its dc current gain is 250, Rc = 1k? and Vcc = 10V. What is the minimum base current for VCE to reach saturation?

     

    1. 7 ?A

    2. 40 ?A

    3. 10 ?A

    4. 100 ?A

  • 5)

    The ratio of mass densities of nuclei of 40Ca and 16O is closed to:

    1. 0.1

    2. 5

    3. 2

    4. 1

  • 6)

    A rectangle solid box of length 0.3 m is held horizontally, with one of its sided on the edge of a platform of height 5. When released, it slips off the table in a very short time =0.01 s, remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to:

     

    1. 0.5 rad

    2. 0.6 rad

    3. 0.02 rad

    4. 0.28 rad

  • 7)

    A body of mass m1 moving with an unknown velocity of  undergoes a collinear collision with a body of mass m2 moving with a velocity  After collision m1 and m2 move with velocities of  and  respectively.

    1. v4 + v2

  • 8)

    An electric dipole is formed by two equal and opposite charges q with separation d. The charges the same mass m. It is kept in a uniform electric field E. If it slightly rotated from its equilibrium orientation, then its angular frequency ? is:

  • 9)

    The magnetic field of an electromagnetic wave is given by: 

    The associated electric field will be:

  • 10)

    In a line of sight radio communication, a distance of about 50 km is kept between the transmitting and receiving antennas. If the height of the receiving antenna is 70m, then the minimum height of the transmitting antenna should be: (Radius of the Earth = 6.4 × 106m).

    1. 32 m

    2. 40 m

    3. 51 m

    4. 20 m

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