Magnetism Question 90

Question: The time period of oscillation of a magnet in a vibration magnetometer is 1.5 seconds. The time period of oscillation of another magnet similar in size, shape and mass but having one-fourth magnetic moment than that of first magnet, oscillating at same place will be

[MP PMT 1991; MP PMT 2002]

Options:

A) 0.75 sec

B) 1.5 sec

C) 3 sec

D) 6 sec

Show Answer

Answer:

Correct Answer: C

Solution:

$ T\propto \frac{1}{\sqrt{M}}\Rightarrow \frac{T _{1}}{T _{2}}=\sqrt{\frac{M _{2}}{M _{1}}}\Rightarrow \frac{1.5}{T _{2}}=\sqrt{\frac{M _{1}/4}{M _{1}}}=\frac{1}{2} $
$ \Rightarrow T _{2}=3\sec $