The M.I. of two spheres of equal masses about their diameters are equal. If one of them is solid and other is hollow, the ratio of their radius is

Options

A. `sqrt(3):sqrt(5)`
B. `3:5`
C. `sqrt(5):sqrt(3)`
D. `5:3`

Answer

C

Explanation

`I_(s)=(2)/(5)MR_(s)^(2)` and `I_(h)=(2)/(3)MR_(h)^(2)`
As `I_(s)=I_(h) therefore (2)/(5)MR_(s)^(2) = (2)/(3)MR_(h)^(2)`
`therefore (R_(s))/(R_(h))=(sqrt(5))/(sqrt(3))`