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  4. A fixed volume of iron is drawn into a wire of length l. The extension x produced in this wire by a constant force F is proportional to:

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Q. A fixed volume of iron is drawn into a wire of length $ l. $ The extension $ x $ produced in this wire by a constant force $F$ is proportional to:

JIPMERJIPMER 2003Mechanical Properties of Solids

Solution:

$\begin{pmatrix}\text { as } V=A l \\ \text { so } A=\frac{V}{l}\end{pmatrix}$
Extension $x=\frac{F l}{A Y}$
$=\frac{F l^{2}}{V Y} \propto l^{2}$