Match List-I with List-II
| List-I | List-II | ||
|---|---|---|---|
| (A) | Moment of inertia of solid sphere of radius R about any tangent. | (I) | ${5 \over 3}M{R^2}$ |
| (B) | Moment of inertia of hollow sphere of radius (R) about any tangent. | (II) | ${7 \over 5}M{R^2}$ |
| (C) | Moment of inertia of circular ring of radius (R) about its diameter. | (III) | ${1 \over 4}M{R^2}$ |
| (D) | Moment of inertia of circular disc of radius (R) about any diameter. | (IV) | ${1 \over 2}M{R^2}$ |
Choose the correct answer from the options given below :
Solution
<p>(A) Moment of inertia of solid sphere of radius R about a tangent $= {2 \over 5}M{R^2} + M{R^2} = {7 \over 5}M{R^2}$</p>
<p>$\Rightarrow$ A $-$ (II)</p>
<p>(B) Moment of inertia of hollow sphere of radius R about a tangent $= {2 \over 3}M{R^2} + M{R^2} = {5 \over 3}M{R^2}$</p>
<p>$\Rightarrow$ B $-$ (I)</p>
<p>(C) Moment of inertia of circular ring of radius (R) about its diameter = ${{\left( {M{R^2}} \right)} \over 2}$</p>
<p>$\Rightarrow$ C $-$ (IV)</p>
<p>(D) Moment of inertia of circular disc of radius (R) about any diameter</p>
<p>$= {{M{R^2}/2} \over 2} = {{M{R^2}} \over 4}$</p>
<p>$\Rightarrow$ D $-$ (III)</p>
About this question
Subject: Physics · Chapter: Rotational Motion · Topic: Centre of Mass
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