A semicircular ring has mass m and radius R as shown in figure. Let `I_(1),I_(2),I_(3) and I_(4)` be the moments of inertia of the four axes as shown. Axis 1 passes through centre and is perpendicular to plane of ring. Then, match the following columns.

`{:(,"Column-I",,"Column-II"),("(A)",I_(1),"(p)",(mR^(2))/(2)),("(B)",I_(2),"(q)",(3//2)mR^(2)),("(C)",I_(3),"(r)",mR^(2)),("(D)",I_(4),"(s)","Data is insufficient"):}`

Answer

`(A rarr r,B rarr p,C rarr p,D rarr q)`

Explanation

Moment of inertia of a ring about an axis perpendicular and passing through the centre of ring is `MR^(2)`. Moment of inertia of a ring about diameter is `MR^(2)//2`. From parallel axes theorem,
`I_(4)=(MR^(2))/(2)+MR^(2)=(3)/(2)MR^(2)`.