A uniform flexible chain of mass \( m \) and length \( l \) hangs in equilibrium over a smooth h...

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A uniform flexible chain of mass \( m \) and length \( l \) hangs in equilibrium over a smooth horizontal pin of negligible diameter. One end of the chain is given a small vertical displacement so that the chain slips over the pin. The speed of chain when it leaves pin is
(a) \( \sqrt{\frac{g l}{2}} \)
(b) \( \sqrt{g l} \)
(c) \( \sqrt{2 g l} \)
(d) \( \sqrt{3 g l} \)
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