A solid sphere of radius R has moment of inertia l about its diameter. What will be moment of inertia of a shell of same mass and same radius about its diameter?

Options

A. `(3)/(5)l`
B. `(5)/(3)l`
C. `(2)/(3)l`
D. `(2)/(5)l`

Answer

B

Explanation

For a solid sphere,
`l=(2)/(5)MR^(2)`
For a spherical shell,
`l'=(2)/(3)MR^(2)=(5)/(3)xx(2)/(5)MR^(2)=(5)/(3)l`