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 $