Q.

The time period of oscillation of a magnet in a vibration magnetometer is 1.5 seconds. The time period of oscillation of another magnet similar in size, shape and mass but having one-fourth magnetic moment than that of first magnet, oscillating at same place will be

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a

0.75 s

b

1.5 s

c

3 s

d

6 s

answer is C.

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Detailed Solution

T∝1M⇒T1T2=M2M1⇒1.5T2=M1/4M1=12⇒T2=3 s
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The time period of oscillation of a magnet in a vibration magnetometer is 1.5 seconds. The time period of oscillation of another magnet similar in size, shape and mass but having one-fourth magnetic moment than that of first magnet, oscillating at same place will be