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A metallic rod of mass per unit length 0...

A metallic rod of mass per unit length 0.5 kg `m^(-1)` is lying horizontally on a smooth inclined plane which makes an anlge 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

A

14.76 A

B

5.98 A

C

7.14 A

D

11.32 A

Text Solution

Verified by Experts

The correct Answer is:
D
To remain at rest
`I = muf rArr mulg sin 30^(@) = ilB cos 30^(@)`
`I = (mug sin 30^(@))/(B cos 30^(@))`
`=(1/2 xx 9.8 xx 1/sqrt(3))/(1/4) =11.32 A`
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