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A small sphere is tied to one end of a string and the other end is tied to a fixed support.
\( \mathrm{P} \) The sphere is released from rest keeping the

W string horizontal and straight so that the sphere moves in a circular path in vertical plane. The angle that the string makes with vertical at - which vertical component of tension force of string becomes equal to weight of the sphere is :-
(1) \( 45^{\circ} \)
(2) \( \tan ^{-1} \sqrt{2} \)
- (3) \( \tan ^{-1}(2) \)
(4) \( \cot ^{-1}\left(\frac{1}{\sqrt{3}}\right) \)
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