Q111 / 199 · NEET 2008 (Mains) · Physics

The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is

  • A
    $\sqrt{2}: \sqrt{3}$
  • B
    $\sqrt{3}: \sqrt{2}$
  • Correct answer
    C
    $1: \sqrt{2}$
  • D
    $\sqrt{2}: 1$

Solution

$$ \begin{aligned} & \frac{l_{\text {diso }}}{l_{\text {ring }}}=\frac{M R^2 / 2}{M R^2}=\frac{M K_{\text {disc }}^2}{M K_{\text {ring }}^2} \\ & \Rightarrow \frac{K_{\text {dise }}}{K_{\text {ring }}}=\frac{1}{\sqrt{2}} \end{aligned} $$

Hence, the correct answer is option: 'C'.

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