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The radius of a solid sphere is R and it...

The radius of a solid sphere is `R` and its density `D`. When it is made to rotate about an axis passing through any diameter of sphere, expression for its moment of inertia is

A

`8/7 piDR^(5)`

B

`8/15 piDR^(5)`

C

`28/15 piDR^(5)`

D

`28/5 piDR^(5)`

Text Solution

Verified by Experts

The correct Answer is:
B

`I=2/5MR^(2)=2/5[4/3][iR^(3)]DR^(2)=8/15 piDR^(5)`
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