Question

With a standard rectangular bar magnet, the time period in a vibration magneto meter is 4 sec. The bar magnet is cut parallel to its length into 4 equal pieces. The time period in vibration magnetometer when the piece is used (in sec)(bar magnet breadth is small)

A
16
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B
8
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C
4
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D
2
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Solution

The correct option is C 4Time period of vibration: T∝√IM where I is the moment of inertia and M is the magnetic moment∴ T1T2=√I1M2I2M1When the magnet is cut into 4 pieces parallel to its length, magnetic moment remains same since the breadth is very small..∴M1=M2Moment of inertial also does not change.I2=I1∴T1T2=√I1M2I2×M1=1∴T2=T1=4

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