A uniform ring of radius \( R \) is moving on a horizontal surface with speed \( v \) and then c...

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A uniform ring of radius \( R \) is moving on a horizontal surface with speed \( v \) and then climbs up a ramp of inclination \( 30^{\circ} \) to a height \( h \). There is no slipping in the entire motion. The \( h \) is
[KVPY 2016]
(a) \( v^{2} / 2 g \)
(b) \( v^{2} / g \)
(c) \( 3 v^{2} / 2 g \)
(d) \( 2 v^{2} / g \)
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