A solid cylinder \( P \) rolls without slipping from rest down an inclined plane attaining a spe...
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A solid cylinder \( P \) rolls without slipping from rest down an inclined plane attaining a speed \( V_{p} \) at the bottom. Another smooth solid cylinder \( Q \) of same mass and dimensions slides without friction from rest down the inclined plane attaining a speed \( V_{q} \) at the bottom. The ratio of the speeds \( \left(\frac{V_{p}}{V_{q}}\right) \) is
[KVPY 2014]
(a) \( \left(\sqrt{\frac{3}{4}}\right) \)
(b) \( \left(\sqrt{\frac{3}{2}}\right) \)
(c) \( \left(\sqrt{\frac{2}{3}}\right) \)
(d) \( \left(\sqrt{\frac{4}{3}}\right) \)
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