Find the moment of inortia of ring of mass m and radius R about an axis passing through its centre and making an angle of `45^(@)` with its plane:

Options

A. `(MR^(2))/4`
B. `(MR^(2))/2`
C. `3/4MR^(2)`
D. `MR^(2)`

Answer

C

Explanation

Assume 3 perpendicular axis `I_(x),I_(y) and I_(z)` is diameter of the ring and `I_(x)=I_(y)`
`2I+(MR^(2))/2 = 2MR^(2)`
`I=3/4MR^(2)`