Load versus strain graph for four wires of same material is shown in figure. thickest wire is repres

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8.Mechanical Properties of Solids

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The load versus strain graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line

A

$OB$

B

$OA$

C

$OD$

D

$OC$

Solution

If $\mathrm{F}, \mathrm{L}, \mathrm{Y}$ are constant then $\ell \propto(1 / \mathrm{A})$

i.e. $\ell \propto\left(1 / r^{2}\right)$

i.e. for same load, thickest wire (radius is more) will show minimum elongation.

From the graph, minimum elongation is shown by graph $OD.$

Hence OD must be thickness wire's graph.

Standard 11

Physics

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