Question

# A copper wire of $$1mm$$ diameter is stretched by applying a force on $$10N$$. Find the stress in the wire.

A
1.273×107N/m2
B
1.373×107N/m2
C
1.473×107N/m2
D
1.573×107N/m2

Solution

## The correct option is A $$1.273\times 10^7N/m^2$$\begin{array}{l}\text { given diameter = 1mm }\\\qquad \begin{aligned}\Rightarrow \text { radius of wire } &=0.5 \times 10^{-3} \mathrm{~m}\\&=5\times 10^{-4} \mathrm{~m}\end{aligned}\end{array}$$\begin{array}{l}\text { Force applied }=10\mathrm{~N} \\\therefore\text { Stress }=\frac{10}{\pi \times 25 \times 10^{-8}}\\=0.1273\times 10^{8} \\\text { Stress }=1.273 \times 10^{7} \mathrm{~N} /\mathrm{m}^{2}\end{array}$$Physics

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