We have two spheres, one of which is hollow and the other solid. They have identical masses and moment of intertia about their respective diameters. The ratio of their radius is given by.

Options

A. `5:7`
B. `3:5`
C. `sqrt3: sqrt5`
D. `sqrt3: sqrt7`

Answer

C

Explanation

`I_(1)=I_(2)implies (2)/(3) MR _(1) ^(2) /(5) MR _(2)^(2)`
`implies 5R_(1)^(2) = 3R_(2)^(2) implies (R_(1))/(R_(2))=-sqrt((3)/(5))`