Question

# The length of a magnet is large compared to its width and breath. The time period of its oscillation in a vibration magnetometer is 2 s. The magnet is cut along its length into three equal parts and three parts are then placed on other with their like poles together. The time period of this combination will be

A
2 s
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B
2/3 s
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C
23 s
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D
2/3 s
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Solution

## The correct option is C 2/3 sinitially the time period of the magnet T=2=2π√IMB......(i)For each part , its moment of inertia =I27 and magnetic moment =M3∴ moment of inertia of system Is=I27×3=I9Magnetic moment of system Ms=M3×=MTime period of system Ts=2π√IsMsB=13×2π√IMB=T3=23sec

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