First slide

Elastic Modulie

Question

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

Moderate

A

OD
B

OC
C

OB
D

OA

Solution

Elongation of the wire, $Δ l = \frac{F L}{A Y}$
$∴ Δ l \propto \frac{1}{r^{2}}$ (If Y, L and F are constants)
i.e. For the same load, thickest wire will show minimum elongation. So, line OD represents the thickest wire.

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