Magnetism Question 92
Question: 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
[MP PET 1990; MP PMT 1990]
Options:
A) $ \frac{1}{2} $
B) $ 2 $
C) $ 4 $
D) $ 1/4 $
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Answer:
Correct Answer: C
Solution:
$ T=2\pi \sqrt{\frac{I}{MB _{H}}}\Rightarrow T\propto \frac{1}{\sqrt{M}}\Rightarrow \frac{M _{A}}{M _{B}}={{( \frac{T _{B}}{T _{A}} )}^{2}}=\frac{4}{1} $
BETA
