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Q. The load versus elongation graph of four wires of same length and of the same material is shown in figure. The thinnest wire is represented by the linePhysics Question Image

ManipalManipal 2011Mechanical Properties of Solids

Solution:

$Y=\frac{F \times l}{A \times \Delta l}$
or $\frac{F(\text { load })}{\Delta l \text { (elongation })}=\frac{Y A}{l}$
or slope $\propto A$
or slope $\propto r^{2}$
For thinnest wire slope is minimum.
ie, wire $O A$ is thinnest.