First slide

Elastic behaviour of solids

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

$l = \frac{FL}{AY} ∴ l \propto \frac{1}{r^{2}} (Y, L and F are constant)$
i.e. for the same load, the thickest wire will show minimum elongation. So, graph D represents the thickest wire.

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