The moment of inertia of a solid sphere about an axis passing through its centre is `0.8kgm^2`. The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is `8` times density of first sphere, about an axis passing through its centre is

Options

A. `0.1 kgm^(2)`
B. `0.2 kgm^(2)`
C. `0.4 kgm^(2)`
D. `0.5 kgm^(2)`

Answer

B

Explanation

Mass is same and
`D prop 1/(R^(3)) , (I_(1))/(I_(2)) = ((R_(1))/R_(2))^(2) = ((D_(2))/(D_(1)))^(2//3)`