Magnetism Question 71

Question: Two bar magnets with magnetic moments 2 M and M are fastened together at right angles to each other at their centres to form a crossed system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth’s magnetic field with magnet having magnetic moment 2M making and angle q with the magnetic meridian such that

[AFMC 1999]

Options:

A) $ \theta ={{\tan }^{-1}}( \frac{1}{\sqrt{3}} ) $

B) $ \theta ={{\tan }^{-1}}( \sqrt{3} ) $

C) $ \theta ={{\tan }^{-1}}( \frac{1}{2} ) $

D) $ \theta ={{\tan }^{-1}}( \frac{3}{4} ) $

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Answer:

Correct Answer: C

Solution:

$ \Rightarrow \tan \theta =\frac{M}{2M}=\frac{1}{2}\Rightarrow \theta ={{\tan }^{-1}}=\frac{1}{2} $