Two circular loops `A` and `B` are made of the same wire and their radii are in the ratio `1:n`. Their moments of inertia about the axis passing through the centre and perpendicular to their planes are in the ratio `1:m`. The relation between `m` and `n` is

Options

A. m = n
B. `m=n^(2)`
C. `m=n^(3)`
D. `m=n(4)`

Answer

C

Explanation

`(I_(1))/(I_(2)) = (M_(1)R_(1)^(2))/(M_(2)R_(2)^(2))` for a corcular loop , `Malpha R `
` :. (I_(1))/(I_(2)) = (R_(1)^(3))/(R_(2)^(3))`