A solid sphere and solid cylinder of identical radii approach an incline with the same linear ve...

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A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights \( h_{s p h} \) and \( h_{c y l} \) on the incline. The ratio \( \frac{h_{s p h}}{h_{c y l}} \) is given by
[JEE (Main) 2019]
(a) \( \frac{4}{5} \)
(b) \( \frac{2}{\sqrt{5}} \)
(c) 1
(d) \( \frac{14}{15} \)
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