Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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When a Metal Wire is Stretched by a Load, the Fractional Change in Its Volume ∆V/V Is Proportional to - Physics

MCQ

When a metal wire is stretched by a load, the fractional change in its volume ∆V/V is proportional to

Options

  • \[\frac{∆ \text{l}}{\text{ l }}\]

  • \[\left( \frac{∆ \text{ l }}{\text{ l }} \right)^2\]

  • \[\sqrt{∆ \text{ l / l}}\]

  • none of these

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Solution

\[\frac{∆ \text{l}}{\text{ l }}\]

\[\text{ C . S . A . = A }\]

\[\text{ Length = l}\]

\[\text{ Volume of the wire V = Al }\]

\[\text{ Assuming no lateral strain when longitudinal strain occurs: }\]

\[\text{ Increase in volume: ∆ V = A ∆ l }\]

\[ \Rightarrow \frac{∆ V}{V} = \frac{A ∆ \text{ l }}{\text{ Al }} = \frac{∆ \text{ l }}{\text{ l }}\]

\[\text{ So,} \frac{∆ V}{V} \text{ is directly proportional to } \frac{∆ \text{l}}{\text{ l }}\] .

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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 14 Some Mechanical Properties of Matter
MCQ | Q 7 | Page 298
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