A semicircular ring has mass m and radius R as shown in figure. Let...

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 inertias of the four axes as shown in figure. 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)	\tfrac{mR^2}{2}
(B)	I_2	(a)	\tfrac{3}{2} mR^2
(C)	I_3	(c)	mR^2
(D)	I_4	(s)	Data is insufficient

)

Options

Aa-p b-r c-s d-q
Ba-r b-p c-p d-q
Ca-q b-r c-s d-q
Da-q b-p c-s d-r

Correct answer

B. a-r b-p c-p d-q

Step-by-step solution

First find I for complete ring, by doubling the given mass. Then, the desired value is half the calculated value.

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