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Question

Two magnets of equal masses are joined at right angles to each other as shown in the diagram. Magnet-1 has a magnetic moment three times that of magnet-2. This arrangement is pivoted so that it is free to rotate in the horizontal plane. Under equilibrium, what angle will the magent-1 subtend with the magnetic meridian?





A
tan1(12)
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B
tan1(13)
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C
tan1(1)
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D
0
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Solution

The correct option is B tan1(13)
Let M1 and M2 be the magnetic moments of the two magnets. Then,

M1=3 M2

Also, Bnet is in the direction of magnetic meridian.



Components of M1 and M2, in the direction perpendicular to magnetic meridian, must be cancelled.

From the diagram,

M1sinθ=M2cosθ

tanθ=M2M1=13

θ=tan1(13)

Hence, option (B) is the correct answer.

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