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A frictionless wire \( A B \) is fixed on a sphere of radius
P \( R \). A very small spherical ball slips on this wire. The

W time taken by this ball to slip from \( A \) to \( B \) is
(1) \( \frac{2 \sqrt{g R}}{g \cos \theta} \)
(2) \( 2 \sqrt{g R} \cdot \frac{\cos \theta}{g} \)
(3) \( 2 \sqrt{\frac{R}{g}} \)
(4) \( \frac{g R}{\sqrt{g \cos \theta}} \)
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