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NEET 2023 · Moment of Inertia & Radius of Gyration

Moment of Inertia & Radius of Gyration question from NEET 2023

Q88NEET 2023Easy

Moment of Inertia & Radius of Gyration

The ratio of radius of gyration of a solid sphere of mass MM and radius RR about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :-

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Answer: (d)

  1. Solid sphere: I=25MR2⇒Ks=25RI = \frac{2}{5}MR^2 \Rightarrow K_s = \sqrt{\frac{2}{5}}R.
  2. Thin hollow sphere: I=23MR2⇒Kh=23RI = \frac{2}{3}MR^2 \Rightarrow K_h = \sqrt{\frac{2}{3}}R.
  3. KsKh=2/52/3=35\frac{K_s}{K_h} = \sqrt{\frac{2/5}{2/3}} = \sqrt{\frac{3}{5}}
  4. So the answer is (d) 3:5\sqrt{3} : \sqrt{5}.
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