Match List – I with List – II
List – I List – II
A) Moment of inertia of solid sphere of radius R about any tangent.
$\frac{5}{3} {MR}^{2}$
B) Moment of inertia of hollow sphere of radius (R) about any tangent.
$\frac{7}{5} {MR}^{2}$
C) Moment of inertia of circular ring of radius (R) about its diameter
$\frac{1}{4} {MR}^{2}$
D) Moment of inertia of circular disc of radius (R) about any diameter.
$\frac{1}{2} {MR}^{2}$
Choose the correct answer from the options given below :

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A – II, B – I, C – IV, D - III

A – II, B – I, C – III, D – IV

A – I, B – II, C – III, D – IV

A – I, B – II, C – IV, D – III

answer is A.

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Detailed Solution

Sphere about tangent

$I = \frac{2}{5} {mR}^{2} {+mR}^{2} \Rightarrow = \frac{7}{5} {mR}^{2}$

Hallow sphere tangent

$I = \frac{2}{3} {mR}^{2} {+mR}^{2} \Rightarrow = \frac{5}{3} {mR}^{2}$

Ring diameter $I = \frac{{mR}^{2}}{2}$

Disc diameter $I = \frac{{mR}^{2}}{4}$

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