NEET · Physics · STD 11 - 6. system of particles and rotational motion
The ratio of radius of gyration of a solid sphere of mass \(M\) and radius \(R\) about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :-
- A \(5: 2\)
- B \(\sqrt{3}: \sqrt{5}\)
- C \(5: 3\)
- D \(2: 5\)
Answer & Solution
Correct Answer
(B) \(\sqrt{3}: \sqrt{5}\)
Step-by-step Solution
Detailed explanation
Radius of gyration \(:K=\sqrt{\frac{I}{m}}\) \(\frac{ k _{\text {solid sphere }}}{ k _{\text {hollow sphere }}}=\sqrt{\frac{2 mR ^2 / 5 m }{2 mR ^2 / 3 m }}=\sqrt{3}: \sqrt{5}\)
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