Q.

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

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a

2 s

b

23s

c

23s

d

23s

answer is B.

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Detailed Solution

Initially, the time period of the magnetT=2=2πIMB     ......(i)For each part, its moment of inertia =I27 and  magnetic moment = M3∴ Moment of inertia of system, Is=I27 x 3=I9Magnetic moment of system,  Ms=M3 x 3=MTime period of system, Ts=2πIsMsB=13 x 2πIMB=T3=23s
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