Question 219: Properties of Matter

Question

If $S$ is stress and $Y$ is young's modulus of material of a wire, the energy stored in the wire per unit volume is

Accepted Answer

Energy stored per unit volume of wire,
$E = {1 \over 2} 	imes \,stress\, 	imes \,strain$
$	herefore$  $E = {1 \over 2} 	imes \,stress\, 	imes \,{{stress} \over Y} = {1 \over 2}{{{S^2}} \over Y}$
[ As Young's modulus(Y) = ${{Stress} \over {Strain}}$
$	herefore$ Strain = ${{Stress} \over Y}$ ]

Answer

${{{S^2}} \over {2Y}}$

Answer

$2{S^2}Y$

Answer

${S \over {2Y}}$

Answer

${{2Y} \over {{S^2}}}$

Properties of Matter

If S is stress and Y is young's modulus of material of a wire, the energy stored in the wire per unit volume is

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