Question

Derive the equation of young modulus for wire

Answer 1

Young's modulus is the ratio of stress and strain in the wire in its elastic range.

$Y = \frac{ \sigma}{ \epsilon} \\ \\ Y = \frac{F/A}{ \Delta L/L} \\ \\ Y = \frac{F}{A} \times \frac{L}{\Delta L}\\ \\ Y = \frac{F.L}{A. \Delta L}$

Answer 2

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Young's modulus is the ratio of stress and strain in the wire in its elastic range.

$Y = \frac{ \sigma}{ \epsilon} \\ \\ Y = \frac{F/A}{ \Delta L/L} \\ \\ Y = \frac{F}{A} \times \frac{L}{\Delta L}\\ \\ Y = \frac{F.L}{A. \Delta L}$

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