A solid sphere rolls without slipping, first horizontal and then up to a point \( X \) at height...

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A solid sphere rolls without slipping, first horizontal and then up to a point \( X \) at height \( h \) on an inclined plane before rolling down, as shown. The initial horizontal speed of the sphere is
[KVPY 2013]
(a) \( \sqrt{\frac{10 g h}{7}} \)
(b) \( \sqrt{\frac{7 g h}{5}} \)
(c) \( \sqrt{\frac{5 g h}{7}} \)
(d) \( \sqrt{2 g h} \)
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