A ladder of length \( l \) and mass \( m \) is placed against a smooth P vertical wall, but the ...

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A ladder of length \( l \) and mass \( m \) is placed against a smooth
P vertical wall, but the ground is not smooth. Coefficient of

W friction between the ground and the ladder is \( \mu \). The angle \( \theta \) at which the ladder will stay in equilibrium is
(1) \( \theta=\tan ^{-1}(\mu) \)
(2) \( \theta=\tan ^{-1}(2 \mu) \)
(3) \( \theta=\tan ^{-1}\left(\frac{\mu}{2}\right) \)
(4) none of these
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