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A solid sphere of mass M and radius R ha...

A solid sphere of mass M and radius R having tmoment of inertia I about its diameter is recast into a solid dise of radius r and thickness t. The moment of inertia of the disc about an axis passing the edge and perpendicular to the plane remains I. Then R and r are related as

A

`(2)/(sqrt(15))R`

B

`(2)/(sqrt(15))R`

C

`(3)/(sqrt(15))R`

D

`(sqrt(3))/(sqrt(15))R`

Text Solution

Verified by Experts

The correct Answer is:
A
`(2)/(5)MR^(2) =(1)/(2) Mr^(2) +Mr^(2)`
or `(2)/(3) MR^(2) =(3)/(2) Mr^(2)`
`:.r=(2)/(sqrt(15))R`
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