Question

Match List-I with List-II.

| List - I| | List - II
---|---|---|---
A. | Moment of inertia of solid sphere of Radius R about any tangent | i.| $\frac{5}{3}MR^2$
B.| Moment of inertia of hollow sphere of radius (R) about any tangent| ii.| $\frac{7}{5}MR^2$
C.| Moment of inertia of circular ring of radius (R) about its diameter| iii.| $\frac{1}{4}MR^2$
D.| Moment of inertia of circular disc of radius (R) about any diameter| iv.| $\frac{1}{2}MR^2$

Choose the correct answer from the options given below.

• A. A-II, B-I, C-IV, D-III
• B. A-I, B-II, C-IV, D-III
• C. A-II, B-I, C-III, D-IV
• D. A-I, B-II, C-III, D-IV

Answer 1

Answer: (A)

A-II, B-I, C-IV, D-III

Answer 2

The correct answer is (A) : A-II, B-I, C-IV, D-III
(A) Moment of inertia of solid sphere of radius R about a tangent
$= \frac{2}{5} MR² + MR² = \frac{7}{5} MR²$
⇒ A – (II)
(B) Moment of inertia of hollow sphere of radius R about a tangent
$= \frac{2}{3} MR² + MR² = \frac{5}{3} MR²$
⇒ B – (I)
(C) Moment of inertia of circular ring of radius (R) about its diameter
= $\frac{(MR²) }{ 2}$
⇒ C – (IV)
(D) Moment of inertia of circular ring of radius (R) about any diameter
= $\frac{\frac{MR²}{2} }{2} = \frac{MR²}{4}$
⇒ D – (III)