A stone is tied to a string of length \( l \) and is whirled in a vertical circle with the other...

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A stone is tied to a string of length \( l \) and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed \( u \). The magnitude of the change in velocity as it reaches a position where the string is horizontal ( \( g \) being acceleration due to gravity) is
(a) \( \sqrt{2\left(u^{2}-g l\right)} \)
(b) \( \sqrt{u^{2}-g l} \)
(c) \( u-\sqrt{u^{2}-2 g l} \)
(d) \( \sqrt{2 g l} \)
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