One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about diameters are respectively `I_(A)andI_(B)` such that…………..

Options

A. `I_(A)=I_(B)`
B. `I_(A)gtI_(B)`
C. `I_(A)ltI_(B)`
D. `(I_(A))/(I_(B))=(d_(A))/(d_(B))`

Answer

C

Explanation

The moment of inertia of solid sphere
`I_(A)=(2)/(5)MR^(2)=0.4MR^(2)`
and moment of inertia of hollow sphere
`I_(B)=(2)/(3)MR^(2)=0.67MR^(2)`
`therefore I_(A)ltI_(B)`