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Q.

The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio 1:8 is

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a

4 :1

b

8 :1

c

1: 4

d

2:1

answer is B.

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Detailed Solution

M₁=M₂

$\frac{R_{1}^{3}}{R_{2}^{3}} = \frac{d_{2}}{d_{1}} = \frac{8}{1} R_{1} = 2 R_{2}$ $I_{sphere} = \frac{2}{5} {MR}^{2}$

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