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Consider a solid sphere of radius r and ...

Consider a solid sphere of radius r and mass m which has a charge q distributed uniformly over its volume. The sphere is rotated about a diameter with an angular speed `omega`. The magnetic moment of the sphere is

A

`1/3 qomegar^(2)`

B

`1/5qomegar^(2)`

C

`1/7qomegar^(2)`

D

`1/9qomegar^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

Ratio of magnetic moment and angular momentum is given by `M/L=q/(2m)`
`therefore M/(2/5mr^(2)omega) = q/(2m) or M = 1/5qomegar^(2)`
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Knowledge Check

  • A thin disc of radius R has charge Q distributed uniformly on its surface. The disc is rotated about one of its diametric axis with angular velocity omega . The magnetic moment of the arrangement is

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