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A particle of mass \( m \) is attached to one end of
the light inextensible string and other end of
the string is fixed in vertical plane as shown.
Particle is given the horizontal velocity
\[
u=\sqrt{\frac{5}{2}} g l \text {. }
\]
The maximum angle made by the particle with downward vertical is
(1) \( \cos ^{-1}\left(\frac{1}{4}\right) \)
(2) \( \sin ^{-1}\left(\frac{1}{4}\right) \)
(3) \( \frac{\pi}{2}+\cos ^{-1}\left(\frac{1}{4}\right) \)
(4) \( \pi-\cos ^{-1}\left(\frac{1}{4}\right) \)
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