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Q.

When a bar magnet is placed at 90o to a uniform magnetic field, it is acted upon by a couple which is maximum. For the couple to be half of the value, the magnet should be inclined to the magnetic field at an angle of

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a

45o

b

30o

c

15o

d

0o

answer is B.

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Detailed Solution

τ=MBsin⁡θ or τ∝sin⁡θ τ1/τ2=sin⁡θ1/sin⁡θ2  or τ×2τ1=1sin⁡θ2 or sin⁡θ2=1/2 ∴θ2=30∘
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When a bar magnet is placed at 90o to a uniform magnetic field, it is acted upon by a couple which is maximum. For the couple to be half of the value, the magnet should be inclined to the magnetic field at an angle of