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Question Paper (Section wise)

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

    The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz,

  • 2)

    In free space, a particle A of of charge 1 µ C is held fixed at a point P. Another particle B of the same charge and mass 4 µg is kept at a distance of 1 mm from P. If B is released, then its velocity at a distance of 9 mm from P is

    1. 1.5 × 102 m/s

    2. 2.0 × 103 m/s

    3. 1.0 m/s

    4. 3.0 × 104 m/s

  • 3)

    A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the figure. The system is initially at rest. The constant torque, that will make the system rotate about AB at 25 rotation per second is 5 s is close to

     

    1. 2.0 × 10-5 Nm

    2. 4.0 × 10-6 Nm

    3. 1.6 × 10-5 Nm

    4. 7.9 × 10-6 Nm

  • 4)

    In Li++, electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets deexcited to the ground state in all possible ways (including intermediate emission) a total of six spectral lines are observed. What is the value of λ?

    ( Given: h = 6.63 × 1034 js; e = 3 × 108 ms–1 )

    1. 10.8 nm

    2. 11.4 nm

    3. 9.4 nm

    4. 12.3 nm

  • 5)

    Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm-2. If the surface has an area of 25 cm2, the maximum transferred to the surface in 40 min time duration will be

    1. 6.3 × 10-4 Ns

    2. 3.5 × 10-6 Ns

    3. 5.0 × 10-3 Ns

    4. 1.4 × 10-6 Ns

  • 6)

    Space between two concentric conducting spheres of radii a and b (b> a ) is filled with a medium of resistivity ρ. The resistance between the two spheres will be

  • 7)

    Water from a tap emerges vertically downwards with an initial speed of 1.0 ms-1. The cross-sectional area of the tap is 10-4m2. Assume that the pressure is constant throughout the stream of water and that flow is streamlined. The cross-sectional area of the stream, 0.15 m below the tap would be:

    ( take g = 110 ms-2 )

    1. 5 × 10-4 m2

    2. 5 × 10-5 m2

    3. 1 × 10-5 m2

    4. 2 × 10-5 m2

  • 8)

    The time dependence of the position of a particle of mass m = 2 is given by  its angular momentum with respect to the origin at time t = 2 is

  • 9)

    The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used?

  • 10)

    The formula X = 5YZ2 X and Z have dimensions of capacitance and magnetic field respectively. What are the dimensions of Y in Sl units?

    1. [M-2 L0 T-4 A-2]

    2. [M-3 L-2 T8 A-1]

    3. [M-2 L-2 T-6 A3]

    4. [M-1 L-2 T4 A2]

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