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(C) The time period $T$ of a magnetic needle oscillating in a magnetic field is given by $T = 2\pi \sqrt{\frac{I}{MB}}$,where $I$ is the moment of ine

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The time period increases

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(C) The time period $T$ of a magnetic needle oscillating in a magnetic field is given by $T = 2\pi \sqrt{\frac{I}{MB}}$,where $I$ is the moment of inertia,$M$ is the magnetic moment,and $B$ is the magnetic field.From this relation,we see that $T \propto \frac{1}{\sqrt{M}}$.When the temperature of a magnetic material increases,its magnetic dipoles become disordered due to thermal agitation,which leads to a decrease in the magnetic moment $M$.Since $M$ decreases as the temperature increases,the time period $T$ must increase.

$A$ magnetic needle suspended by a silk thread is vibrating in the earth's magnetic field. If the temperature of the needle is increased by $500^{\circ}C$,then

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