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Question: The moment of inertia of a solid sphere of radius R about its diameter is same as that of disc of ra...

The moment of inertia of a solid sphere of radius R about its diameter is same as that of disc of radius 2R about its diameter. The ratio of their masses is -

A

5 : 2

B

5 : 8

C

4 : 1

D

2 : 1

Answer

5 : 2

Explanation

Solution

25\frac{2}{5} MsR2 = Md(2R)24\frac{M_{d}(2R)^{2}}{4}

or MsMd\frac{M_{s}}{M_{d}} = 52\frac{5}{2}