Question

Work done per unit volume in stretching a wire is equal to

Answer 1

Question :----- Work done per unit volume in stretching a wire is equal to ???

Solution :-----

Stretching wire = $\huge{\frac{work\:done}{Volume}}$

Now,

we find volume of wire,,

We know that volume of wire = Area × length

So,

work done = $\huge{\frac{F.I}{2}}$

WOrk done = $\huge{\frac{F.I}{2AL}}$

WOrk done = (1/2)×(F/A)×(l/L)

So,

W = (1/2) × stress × strain ....

Answer 2

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The work done by external applied force during stretching is stored as potential energy (U) in the wire and is called as strain energy in the wire. Dividing both sides above equation by AL, the volume of the wire.

Hence,

W = (1/2) × stress × strain