Q. The time period of a vibration magnetometer is $T_{0}$. 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) $3T_{0}$
B) $T_{0}$
C) $T_{0}/\sqrt{3}$
D) $T_{0}/3$
Explanation
(a) $T = 2\pi\sqrt{\frac{1}{MB_{H}}};I \rightarrow 3$ times and $M \rightarrow \frac{1}{3}$ times
So $T \rightarrow 3$ times, $i.e.,\ T^{'} = 3T_{0}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.