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Q.

A square current carrying loop made of thin wire and having a mass m = 10 g can rotate without friction with respect to the vertical axis OO1 , passing through the centre of the loop at right angles to two opposite sides of the loop. The loop is placed in a homogeneous magnetic field with an induction B=101T directed at right angles to the plane of the drawing. A current I = 2A is flowing in the loop. Find the period (in sec) of small oscillations that the loop performs about its position of stable equilibrium. (Round off your answer to nearest integer)
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Detailed Solution

T=2πIMB

here I=m4l212×2+m4l24×2=ml26

and

M=l2i

T=2πIMB=2πm6iB=2π0.016×2×0.1=0.57s

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