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Moving Charges and Magnetism · Question 26

NEET 2018MCQMedium📈 Topic in 12% papers+4−1
1

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. 7.14 A
  2. 5.98 A
  3. 14.76 A
  4. 11.32 A

Answer

(4) 11.32 A

Solution

The rod is horizontal and B is vertical, so the magnetic force F = IlB is horizontal.

For equilibrium, components along the incline balance:

IlB 30 = mg 30

I = (m/l) g 30 B

= 0.5 9.8 1 30.25

= 11.32 A

Answer: (4)

NEET 2018

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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

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  1. nB
  2. n2B
  3. 2nB
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  1. 1 GHz
  2. 100 MHz
  3. 62.8 MHz
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  1. 2 A
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  1. 1.5 MeV
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A rectangular coil of length 0.12 m and width 0.1 m having 50 turns of wire is suspended vertically in a uniform magnetic field of strength 0.2 weber/m2. The coil carries a current of 2 A. If the plane of the coil is inclined at an angle of 30 with the direction of the field, the torque required to keep the coil in stable equilibrium will be

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