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Select and write the corrcet answer :
The elastic potential energy per unit volume in a copper wire `(Y = 1.2 xx 10^(11) Pa)` stretched by ` 0.5 %` of its length is

A

`1.5 xx 10^(10) J//m^(3)`

B

`1.5 xx 10^(8) J//m^(3)`

C

`1.5 xx 10^(7) J//m^(3)`

D

`1.5 xx 10^(6) J//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`(triangle L)/L = 0.5 % = (0.5)/100 = 1/2 xx 10^(-2)`
Elastic energy per unit volume, `u = Y/2 ("strain")^(2)`
` = 1/2 (1.2 xx 10^(11))(1/4 xx 10^(-4)) = 0.15 xx 10^(7) = 1.5 xx 10^(6) J//m^(3)`
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