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Q.

A short bar magnet placed with its axis at 30° with a uniform external magnetic field of 0.16 T experiences a torque of magnitude 0.032 Nm. If the bar magnet were free to rotate, its P.E when it is in stable and unstable equilibrium are respectively:

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a

–0.064J, +0.064J

b

–0.032J, +0.032J

c

+0.064J, –0.064J

d

+0.032J, -0.032J

answer is A.

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Detailed Solution

τ=MBsin30°=0.032; MB=0.064 PE(U)=-MBcosθ stable equilibrium: θ=00, U=-0.064 J Unstable equilibrium: θ=180°,U=+0.064 J

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