Match List I with List II :
| LIST I |
LIST II |
||
|---|---|---|---|
| A. | A force that restores an elastic body of unit area to its original state | I. | Bulk modulus |
| B. | Two equal and opposite forces parallel to opposite faces | II. | Young's modulus |
| C. | Forces perpendicular everywhere to the surface per unit area same everywhere | III. | Stress |
| D. | Two equal and opposite forces perpendicular to opposite faces Choose the correct answer from the options given below : | IV. | Shear modulus |
Choose the correct answer from the options given below :
Solution
<p>To match List I with List II, we must understand the definitions or concepts described in List I and associate them with the correct terms in List II.</p>
<ul>
<li><strong>A. A force that restores an elastic body of unit area to its original state:</strong> This definition describes <strong>Stress</strong>, as stress is the force applied over a unit area of a material that results in a deformation. Stress is involved in restoring the body to its original state.</li>
<li><strong>B. Two equal and opposite forces parallel to opposite faces:</strong> This is a description of <strong>Shear Modulus (also known as Modulus of Rigidity)</strong>, which measures the material's response to shear stress (like forces applied parallel to one of its faces).</li>
<li><strong>C. Forces perpendicular everywhere to the surface per unit area same everywhere:</strong> This definition resembles the concept of <strong>Bulk Modulus</strong>, which is concerned with uniform pressure applied in all directions at points on the surface of a body and relates to volume change.</li>
<li><strong>D. Two equal and opposite forces perpendicular to opposite faces:</strong> This describes <strong>Young's Modulus (also known as Modulus of Elasticity)</strong>, which involves tensile stress (force applied perpendicularly) leading to changes in length of a material.</li>
</ul>
<p>Therefore, matching the lists results in the following:</p>
<ul>
<li>(A)-(III), because stress is the general concept applicable to the force per unit area described in restoring the body to its original state.</li>
<li>(B)-(IV), because shear modulus is specifically related to parallel forces applied on opposite faces.</li>
<li>(C)-(I), because bulk modulus deals with situations where force is applied uniformly over the surface of an object, affecting its volume.</li>
<li>(D)-(II), because Young's modulus applies to forces perpendicular to the faces, affecting the length of a material.</li>
</ul>
<p>Hence, the correct option is <strong>Option B (A)-(III), (B)-(IV), (C)-(I), (D)-(II)</strong>.</p>
About this question
Subject: Physics · Chapter: Properties of Solids and Liquids · Topic: Elasticity
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