MCQ
A current carrying coil is placed with its axis perpendicular to $ N-S $ direction. Let horizontal component of earth's magnetic field be $H_o$ and magnetic field inside the loop is $H$. If a magnet is suspended inside the loop, it makes angle $\theta $ with $H$. Then $\theta $$=$
  • ${\tan ^{ - 1}}\left( {\frac{{{H_0}}}{H}} \right)$
  • B
    ${\tan ^{ - 1}}\left( {\frac{H}{{{H_0}}}} \right)$
  • C
    $cosec^{ - 1}\left( {\frac{H}{{{H_0}}}} \right)$
  • D
    ${\cot ^{ - 1}}\left( {\frac{{{H_0}}}{H}} \right)$

Answer

Correct option: A.
${\tan ^{ - 1}}\left( {\frac{{{H_0}}}{H}} \right)$
a
(a)In given case $H $ and $ H_0$ are perpendicular to each other.
From figure $\tan \theta = \frac{{{H_0}}}{H}$
$==>$ $\theta = {\tan ^{ - 1}}\left( {\frac{{{H_0}}}{H}} \right)$

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