The moment of inertia of a hollow sphere of mass `M` having internal and external radii `R` and `2R` about an axis passing through its centre and perpendicular to its plane is

Options

A. `3/2 MR^(2)`
B. `13/32MR^(2)`
C. `31/35 MR^(2)`
D. `62/35 MR^(2)`

Answer

D

Explanation

If `I_(1)` and `I_(2)` are moment of inertia of hollow spheres of radii `R` and `2R` respectively, then
`I=I_(2)-I_(1)` and mass `alphaR^(3)`