Two uniform spheres A (Hollow) and B (solid) of same radius R (

Options

A. `(MR^(2))/(4) iftheta =0^(@)`
B. `(MR^(2))/(2) if theta =0^(@)`
C. `(MR^(2))/(2)if theta =` any angle
D. `(MR^(2))/(2) if theta=90^(@)`

Answer

C

Explanation

If we complete the ring, its mass become 2m
. `:. I_("whole ring")=(1)/(2)(2M)(R^(2))=MR^(2)`
`(I_("whole ring") = MI "about any diameter")`
`:. I_("Half ring")=(1)/(2)(MR^(2))`
This value is independent of angle `theta`.