The load versus extension graph for 2 wires made of same material are shown here. Both wires obey Hooke's law. Both wires have same volume.

Foundation

Physics

Calculus

Forces and Types of Forces

Stress Strain and Hookes Law New

Question

The load versus extension graph for 2 wires made of same material are shown here. Both wires obey Hooke's law. Both wires have same volume.

wire A has larger radius but smaller length.

wire A has smaller radius but larger length.

wire A has larger radius as well as larger length.

wire A has smaller radius as well as smaller length.

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$\frac{F}{A} = Y \frac{Δl}{l}$
$F = \frac{Ay}{l} Δl$
Slope $= \frac{Ay}{l} = \frac{Vy}{l^{2}}$