Q118 / 180 · NEET 2018 · Physics

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 30o 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

  • A
    14.76 A
  • B
    5.98 A
  • C
    7.14 A
  • Correct answer
    D
    11.32 A

Solution

For equilibrium of conductor

Figure
ilBcos⁡θ=mgsin⁡θ

i=mglBtan⁡θ=mlgtan⁡θB 

i=0.5×9.80.25×13=11.3 A.

Hence, the correct answer is option: 'D'.

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