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Question

A magnet of moment 4.0 Am2 is held in a uniform magnetic field 5.0×104 Tesla with the magnetic moment vector making an angle of 30 with the field. The work done in increasing the angle from 30 to 45 is nearly

A
3.18×104 J
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B
4.3×104 J
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C
7.3×104 J
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D
Zero
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Solution

The correct option is A 3.18×104 J
Work done as angle changes from θ1 to θ2 is
W=MB(cosθ2cos θ1)
W=4×5×104[cos 30cos 45]
W=20×104[3212]
W=3.18×104 J


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