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Q.

The radius of gyration of a hollow sphere about a tangent is

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a

$R \sqrt{\frac{7}{5}}$

b

$R \sqrt{\frac{2}{5}}$

c

$R \sqrt{\frac{2}{3}}$

d

$R \sqrt{\frac{5}{3}}$

answer is D.

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Detailed Solution

Moment of inertia of a hollow sphere about a tangent, $I = \frac{5}{3} M R^{2}$ $M K^{2} = \frac{5}{3} M R^{2} K = \sqrt{\frac{5}{3}} R$

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