A hollow sphere and solid sphere of the same radius rotate about their diameters with the same angular velocity and angular momentum. Then the ratio of their masses is

Options

A. `3:8`
B. `5:8`
C. `3:5`
D. `5:3`

Answer

C

Explanation

`(I_(1))/(I_(2))=((2)/(3)m_(1)R_(1)^(2))/((2)/(5)m_(2)R_(2)^(2))=(5m_(1))/(3m_(2)) " " therefore (m_(1))/(m_(2))=(3)/(5)`