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A bar magnet has a magnetic moment equal...

A bar magnet has a magnetic moment equal to `65xx10^(-5)` wever `x` metre. It is suspended in a magnetic field which has a magnetic induction `(B)` equal to `8pixx10^(-4)` tesla. The magnet vibrates with a period of vibration equal to `15`seconds. The moment of inertia of the magnet is:

A

`22.5 kg- m^(2)`

B

`11.25 kg- m^(2)`

C

`5.62 kg- m^(2)`

D

`7.16 xx 10^(-7) kg- m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`T= 2pi sqrt((I)/(MB))`
`rArr I= (T^(2) MB)/(4pi^(2))= ((15)^(2) xx 8pi xx 10^(-4) xx 5 xx 10^(-5))/(4pi^(2))`
`=7.16 xx 10^(-7) kg m^(2)`
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