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Set 11 of 11 · Questions 301-319 of 319

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JEE Main Physics · Electromagnetic Induction · Set 11 (Q301-319)

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  1. 301.
    A thin strip 10 cm long is on U shaped wire of negligible resistance and it is connected to a spring of spring constant  (see figure). The assembly is kept in a uniform magnetic field of 0.1 T. If the strip is pulled from its equilibrium position and released, the number of oscillation it performs before its amplitude decreases by a factor of  is N. If the mass of the strip is 50 grams, its resistance  and air drag negligible, N will be close to
    1. (1)1000
    2. (2)50000
    3. (3)5000
    4. (4)10000
  2. 302.
    In an A.C. circuit, and are related as
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  3. 303.
    An infinitely long, straight wire carrying current I, one side opened rectangular loop and a conductor with a sliding connector are located in the same plane, as shown, in the figure. The connector has length and resistance . It slides to the right with a velocity . The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation between the connector and the straight wire is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  4. 304.
    The self-inductance of a coil depends on
    1. (1)number of turns of the coil only
    2. (2)size of the coil only
    3. (3)shape of the coil only
    4. (4)size, shape of the coil and number of turns in it
  5. 305.
    Faraday’s laws are consequence of conservation of
    1. (1)energy
    2. (2)energy and magnetic field
    3. (3)charge
    4. (4)magnetic field
  6. 306.
    The energy stored in an inductor of self inductance henry carrying a current of ampere is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  7. 307.
    Two coils and are placed in a circuit. When current in the coil changes by the magnetic flux in coil changes by . The mutual inductance between the coils is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  8. 308.
    The working of magnetic braking of trains is based on
    1. (1)steady current
    2. (2)eddy current
    3. (3)alternating current
    4. (4)pulsating current
  9. 309.
    As a result of change in the magnetic flux linked to the closed loop as shown in the figure, an e.m.f. volt is induced in the loop. The work done (joule) in taking a charge coulomb once along the loop is
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  10. 310.
    A horizontal straight wire 20 m long extending from east to west falling with a speed of 5.0 m\s, at right angle with the horizontal component of the earth’s magnetic field 0.30 × Wb \ . The instantaneous Value of the e.m. f. induced in the wire will be:
    1. (1)3 mV
    2. (2)4.5 mV
    3. (3)1.5 mV
    4. (4)6.0 mV
  11. 311.
    Two insulated circular loop and radius ' ' carrying a current of ' ' in the anti clockwise direction as shown in figure. The magnitude of the magnetic induction at the centre will be:
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  12. 312.
    An ac generator converts
    1. (1)electrical energy into mechanical energy.
    2. (2)electrical energy into magnetic energy.
    3. (3)mechanical energy into magnetic energy.
    4. (4)mechanical energy into electrical energy.
  13. 313.
    Self inductance of solenoid is
    1. (1)directly proportional to current flowing through the coil.
    2. (2)directly proportional to the length.
    3. (3)directly proportional to its area of cross-section.
    4. (4)inversely proportional to the area of cross-section
  14. 314.
    The Lenz law is associated with
    1. (1)law of conservation of charge.
    2. (2)law of conservation of mass.
    3. (3)law of conservation of angular momentum
    4. (4)law of conservation of energy.
  15. 315.
    The self induction produced by solenoid oflength ' ' having ' ' number of turns and cross sectional area ' ' is given by the formula ( magnetic flux, permeability of vacuum)
    1. (1)
    2. (2)
    3. (3)
    4. (4)
  16. 316.
    A constant magnetic field of 1T is applied in the x > 0 region. A metallic circular ring of radius 1m is moving with a constant velocity of 1m/s along the x-axis. At t = 0 s, the center of O of the ring is at x = -1m.
    What will be the value of the induced emf in the ring at t = 1 s? (Assume the velocity of the ring does not change.)
    1. (1)1V
    2. (2)
    3. (3)2V
    4. (4)0V
  17. 317.
    An inductor may store energy in
    1. (1)its electric field
    2. (2)its coils
    3. (3)its magnetic field
    4. (4)both in electric and magnetic fields
  18. 318.
    A conducting bar of length is free to slide on two parallel conducting rails as shown in the figure

    Two resistors and are connected across the ends of the rails. There is a uniform magnetic field pointing into the page. An external agent pulls the bar to the left at a constant speed
    The correct statement about the directions of induced currents and flowing through and respectively is:
    1. (1)Both and are in anticlockwise direction
    2. (2)Both and are in clockwise direction
    3. (3) in clockwise direction and is in anticlockwise direction
    4. (4) is in anticlockwise direction and is in clockwise direction
  19. 319.
    A rectangular loop of sides and , with its sides parallel to the -axis and -axis respectively moves with a velocity of in the positive axis direction, in a space containing a variable magnetic field in the positive direction. The field has a gradient of along the negative direction and it is decreasing with time at the rate of . If the resistance of the loop is , the power dissipated by the loop as heat is___ .