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A magnet is suspended horizontal in the earth's magnetic field. When it is displaced and then released it oscillates in a horizontal plane with a period T. If a place of wood of the same moment of inertia (about the axis of rotation) as the magnet is attached to the magnet what would the new period of oscillation of the system become?

A

`T/3`

B

`T/2`

C

`T/sqrt(2)`

D

`Tsqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

Due to wood moment of inertia of the system becomes twice but there is no change in magnetic moment of the system.
Hence by
using `T=2pisqrt(I/(MB_(H)))impliesT propsqrt(I)impliesT^(')=sqrt(2)T`
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