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

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A stone tied to a string of length \( L \) is whirled in a vertical circle with the other end of the string at 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 its velocity as it reaches a position where the string is horizontal is
(a) \( \sqrt{u^{2}-2 g L} \)
(b) \( \sqrt{u^{2}-g L} \)
(c) \( \sqrt{2\left(u^{2}-g L\right)} \)
(d) \( \sqrt{2 g L} \)
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