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 $\frac{v_q}{v_p}$ is
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 $\frac{v_q}{v_p}$ is
- [KVPY 2014]
- A
$\sqrt{\frac{3}{4}}$
- B
$\sqrt{\frac{3}{2}}$
- C
$\sqrt{\frac{2}{3}}$
- D
$\sqrt{\frac{4}{3}}$
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- [JEE MAIN 2019]
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