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What is the energy stored per unit volum...

What is the energy stored per unit volume in a copper wire of uniform cross section and length 1.5 m, when it is stretched to a length of 1.51 m by a stress of `3 xx 10^(2) N//m^(2)` ?

A

`0.25 J//m^(3)`

B

`0.5 J//m^(3)`

C

`0.75 J//m^(3)`

D

`1 J//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`("Energy")/("Volume") = (1)/(2) "Stress" xx "Strain"`
where strain `= (Delta L)/(L) = (0.01)/(1.5)`
`:. (E)/(V) = (1)/(2) xx 3 xx 10^(2) xx (0.01)/(1.5) = 1J//m^(3)`
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