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5.Magnetism and Matter
medium
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 $ \theta $ with the magnetic meridian such that
A
$\theta = {\tan ^{ - 1}}\left( {\frac{1}{{\sqrt 3 }}} \right)$
B
$\theta = {\tan ^{ - 1}}\left( {\sqrt 3 } \right)$
C
$\theta = {\tan ^{ - 1}}\left( {\frac{1}{2}} \right)$
D
$\theta = {\tan ^{ - 1}}\left( {\frac{3}{4}} \right)$
Solution

(c)$ \Rightarrow \tan \theta = \frac{M}{{2M}} = \frac{1}{2} \Rightarrow \theta = {\tan ^{ – 1}} = \frac{1}{2}$
Standard 12
Physics