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Q.

The magnet of vibration magnetometer is heated so as to reduce its magnetic moment by 36%. By doing this the periodic time of the magnetometer will

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a

Increase by 36%

b

Increase by 25%

c

Decrease by 25%

d

Decrease by 64%

answer is B.

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Detailed Solution

T=2πIMBH⇒T∝1M⇒T1T2=M2M1If M1 = 100 then M2 = (100 - 36) = 64So, T1T2=64100=810⇒T2=108T1=1.25T1So % increase in time period = 25%
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The magnet of vibration magnetometer is heated so as to reduce its magnetic moment by 36%. By doing this the periodic time of the magnetometer will