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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Rotational Motion

NEET 2008 · Physics · Rotational Motion

The ratio of the radii of gyration of a circular disc to that of a...

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

Options

  1. A2:3\sqrt{2}: \sqrt{3}
  2. B3:2\sqrt{3}: \sqrt{2}
  3. C1:21: \sqrt{2}
  4. D2:1\sqrt{2}: 1

Correct answer

C. 1:21: \sqrt{2}

Step-by-step solution

ldiso lring =MR2/2MR2=MKdisc 2MKring 2⇒Kdise Kring =12\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}
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