Q. Two magnets $A$ and $B$ are identical in mass, length and breadth but have different magnetic moments. In a vibration magnetometer, if the time period of $B$ is twice the time period of $A$. The ratio of the magnetic moments $M_{A}/M_{B}$ of the magnets will be

A) 1/2
B) 2
C) 4
D) 1/4
Explanation

(c) $T = 2\pi\sqrt{\frac{1}{MB_{H}}} \Rightarrow T \propto \frac{1}{\sqrt{M}} \Rightarrow \frac{M_{A}}{M_{B}} = \left( \frac{T_{B}}{T_{A}} \right)^{2} = \frac{4}{1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.