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The moment of inertia of a solid sphere ...

The moment of inertia of a solid sphere of radius R about its diameter is same as that of a 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`

Text Solution

Verified by Experts

The correct Answer is:
A
The moment of inertia of a solid sphere of radius R about its diameter
`I_(s)=(2)/(5)M_(s)R^(2)`
The moment of inertia of a disc of radius 2R about its diameter
`I_(d)=(1)/(4)M_(d)(2R)^(2)`
Given, `I_(s)=I_(d)`
`(2)/(5)M_(s)R^(2)=(1)/(4)M_(d)(2R)^(2)`
`(M_(s))/(M_(d))=(5)/(2)`
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