In a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of longitudinal strain σ and modulus of elasticity Y is

Question

In a wire stretched by hanging a weight from its end, the elastic potential energy per unit volume in terms of longitudinal strain σ and modulus of elasticity Y is, Y σ 2 2, Y σ 2, 2 Y σ 2 2, Y 2 σ 2

MARKS App · Accepted Answer

E n e r g y d e n s i t y = 1 2 × s t r e s s × s t r a i n , Y = s t r e s s σ or s t r e s s = Y σ , ∴ E n e r g y d e n s i t y = 1 2 Y σ × σ = Y σ 2 2

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