A current carrying coil is placed with its axis perpendicular to \( \mathrm{N}-\mathrm{S} \) dir...

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A current carrying coil is placed with its axis perpendicular to \( \mathrm{N}-\mathrm{S} \) direction. Let horizontal component of earth's magnetic field be \( H_{0} \) and magnetic field inside the loop is \( H \). If a magnet is suspended inside the loop, it makes angle \( \theta \) with \( H \). Then \( \theta= \)
(1) \( \tan ^{-1}\left(\frac{H_{0}}{H}\right) \)
(2) \( \tan ^{-1}\left(\frac{H}{H_{0}}\right) \)
(3) \( \operatorname{cosec}^{-1}\left(\frac{H}{H_{0}}\right) \)
(4) \( \cot ^{-1}\left(\frac{H_{0}}{H}\right) \)
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