A bob of mass \( m \) is suspended by a light string of length \( L \). It is imparted a horizon...

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A bob of mass \( m \) is suspended by a light string of length \( L \). It is imparted a horizontal velocity \( v_{0} \) at the lowest point \( A \) such that it completes a semi-circular trajectory in the vertical plane. The string becomes slack only on reaching the topmost point \( C \) as shown in figure. Then, the speed of bob \( \left(v_{0}\right) \) at point \( A \) is
(a) \( \sqrt{5 g L} \)
(b) \( \sqrt{2 g L} \)
(c) \( \sqrt{3 g L} \)
(d) \( \sqrt{7 g L} \)
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