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Question: The time period of a vibration magnetometer is T<sub>0</sub>. Its magnet is replaced by another magn...

The time period of a vibration magnetometer is T0. Its magnet is replaced by another magnet whose moment of inertia is 3 times and magnetic moment is 1/3 of the initial magnet. The time period now will be

A

3T0

B

T0

C

T0/3T _ { 0 } / \sqrt { 3 }

D

T0/3

Answer

3T0

Explanation

Solution

T=2πIMBH;I3T = 2 \pi \sqrt { \frac { I } { M B _ { H } } } ; I \rightarrow 3 times and M13M \rightarrow \frac { 1 } { 3 }times

So T3T \rightarrow 3 times i.e. T=3T0T ^ { \prime } = 3 T _ { 0 }