The masses of two uniform discs are in the ratio `1 : 2` and their diameters in the ratio `2 : 1`. The ratio of their moment, of inertia about the axis passing through their respective centres and perpendicular to their planes is

Options

A. `1:1`
B. `1:2`
C. `2:1`
D. `1:4`

Answer

C

Explanation

`(I_(1))/(I_(2))=(M_(1))/(M_(2))((R_(1))/(R_(2)))^(2)`
`= (1)/(2)xx(4)/(1)=(2)/(1)`