An elastic material with a Young modulus is subjected to a tensile stress

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

An elastic material with a Young modulus

E

is subjected to a tensile stress

S

. Hooke's Law is obeyed. What is the expression for the elastic energy stored per unit volume of the material? (A)

\frac{S^2}{2E}

(B)

\frac{S^2}{E}

(C)

\frac{E}{2S^2}

(D)

\frac{2E}{S^2}