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 change in its velocity, as it reaches a position where the string is horizontal, is \( \sqrt{x\left(u^{2}-g L\right)} \). The value of \( x \) is
(a) 3
(b) 2
(c) 1
(d) 5
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