A semi-circular 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 about the four axes as shown . Axis 1 passes through centre and is perpendicular to plane of ring. Then , match the following.

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)`.