Two identical rings A and B are acted upon by torques `tau_(A)` and `tau_(B)` respectively. A is rotating about an axis passing through the centre of mass and perpendicular ot the plane of the ring. B is rotating about a chord at a distance `1/(sqrt(2))` times the radius of the ring. If the angular acceleration of the ring is the same, then

Options

A. `tau_(A)=tau_(B)`
B. `tau_(A)gttau_(B)`
C. `tau_(A)lttau_(B)`
D. nothing can be said about `tau_(A)` and `tau_(B)` as data are insufficient

Answer

A

Explanation

`I'_(B)`(in new given condition)
`=1/2MR^(2)+M(R/(sqrt(2))^(2))=MR^(2)=I_(A)`
thus, `tau_(A)=tau_(B)=tau_(B)'=Ialpha`