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

Question

If S is stress and Y is Young's modulus of the material of a wire, the energy stored in the wire per unit volume is, 2 S 2 Y, S 2 2 Y, 2 Y S 2, S 2 Y

MARKS App · Accepted Answer

Energy stored in the wire = 1 2 s t r e s s × s t r a i n × v o l u m e and Y o u n g ′ s m o d u l u s = S t r e s s S t r a i n ⟹ s t r a i n = S Y E n e r g y s t o r e d i n w i r e V o l u m e = 1 2 × s t r e s s × s t r a i n = 1 2 S × S Y = S 2 2 Y

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