List-I shows four planar structures made of uniform solid rods each of mass m and length l. In List-II the possible moments of inertia of these structures about an axis OCO′, which lies in the plane of the structures, are given. Choose the option that describes the correct match between the entries in List-I to those in List-II. Image
List 1
(P)
I
(Q)
(R)
(S)
.
List 2
1. (5/4)ml²
2. (1/6)ml²
3. (1/12)ml²
4. (2/3)ml²
5. (1/3)ml²
Options

Question

List-I shows four planar structures made of uniform solid rods each of mass m and length l. In List-II the possible moments of inertia of these structures about an axis OCO′, which lies in the plane of the structures, are given. Choose the option that describes the correct match between the entries in List-I to those in List-II. Image

List 1

(P)
I
(Q)
(R)
(S)
.

List 2

1. 1. (5/4)ml²
1. 2. (1/6)ml²
1. 3. (1/12)ml²
1. 4. (2/3)ml²
1. 5. (1/3)ml²

Options

G1 Physics · Accepted Answer

Using the moment of inertia of a uniform rod about its centre and end, together with the parallel-axis theorem for the displaced rods, the four configurations match as P→5, Q→1, R→4 and S→2. Hence option A.