A metallic thin wire has uniform thickness. From this wire, two circular loops of radii `r`, `2r` are made. If moment of inertia of `2^(nd)` loop about its natural axis is `n` times moment of inertia of `1st` loop about its natural axis. The value of `n` is

Options

A. `2`
B. `4`
C. `2sqrt(2)`
D. `8`

Answer

D

Explanation

`IpropMR^(2)` and `MpropLpropR :. IpropR^(3)` and `(I_(2))/(I_(1))=((R_(2))/(R_(1)))^(3)`