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Question

A magnetised wire of magnetic moment M and length l is bent in the form of one-fourth of a circle of radius r. Then its new magnetic moment is.

A
Mπ
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B
2Mπ
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C
2Mπ
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D
22Mπ
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Solution

The correct option is D 22Mπ


After, bending the wire into one-fourth of a circle of radius r. Then it's new magnetic momentM becomes,

M=2Msin(θ2)θ

Where, θ is angle subtended at the center.

Here, θ=π2=90

M=2Msin(902)π2

=4Mπ×sin45=4Mπ×12

M=22Mπ

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (D) is the correct answer.

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