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Longitudinal Strain

A steel wire ...

Question

A steel wire 2 m long is suspended from the ceiling. When a mass is hung at its lower end, the increase in length recorded is 1 cm. Determine the strain in the wire.

5 \times 10^{- 3}

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65 \times 10^{- 3}

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6 \times 10^{- 3}

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7 \times 10^{- 3}

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Solution

The correct option is A $5 \times 10^{- 3}$
Strain $= \frac{△ L}{L} = \frac{0.01 m}{2 m}$
$= 0.01 \times 0.5$
$= 0.005$
$= 5 \times 10^{- 3}$

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