The maximum elongation of a steel wire of 1 m length, if the elastic limit of steel and its Young's modulus are respectively 8 imes 10^{8}\ \mathrm{N\,m^{-2}} and 2 imes 10^{11}\ \mathrm{N\,m^{-2}

Question

The maximum elongation of a steel wire of 1 m length, if the elastic limit of steel and its Young's modulus are respectively 8 	imes 10^{8}\ \mathrm{N\,m^{-2}} and 2 	imes 10^{11}\ \mathrm{N\,m^{-2}}, is:

Vishal Gupta · Accepted Answer

D. At the elastic limit, strain = \frac{	ext{stress}}{Y} = \frac{8	imes10^8}{2	imes10^{11}} = 4	imes10^{-3}. Elongation = 	ext{strain} 	imes L = 4	imes10^{-3} 	imes 1 m = 4 mm.

Mechanical Properties of Solids

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