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

The Correct Option is A

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)