Magnetism Question 87

Question: A magnetic needle is made to vibrate in uniform field H, then its time period is T. If it vibrates in the field of intensity 4H, its time period will be

[MP Board 1988; MP PMT 1992; MH CET (Med.) 1999]

Options:

A) $ 2T $

B) $ T/2 $

C) $ 2/T $

D) $ T $

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Answer:

Correct Answer: B

Solution:

$ T=2\pi \sqrt{\frac{I}{MB_H}}\Rightarrow \frac{T_1}{T_2}=\sqrt{\frac{(B_H)_2}{(B_H)_1}} $

$ \Rightarrow T _{2}=T\sqrt{\frac{(BH)_1}{(BH)_2}}=\frac{T}{2}\ \ \ ( \because (B_H)_2=4(B_H)_1) $