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Q.

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

A – II, B – I, C – IV, D - III

b

A – II, B – I, C – III, D – IV

c

A – I, B – II, C – III, D – IV

d

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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Match List – I with List – IIList – I List – IIA) Moment of inertia of solid sphere of radius R about any tangent.53MR2B) Moment of inertia of hollow sphere of radius (R) about any tangent.75MR2C) Moment of inertia of circular ring of radius (R) about its diameter14MR2D) Moment of inertia of circular disc of radius (R) about any diameter.12MR2Choose the correct answer from the options given below :