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When a wire is stretched by a force the ...

When a wire is stretched by a force the strain produced in the wire is `2 xx 10^(-4)`. If the energy stored per unit volume of the wire is `4 xx 10^(4) "joule"//m^(3)` then the Young's modulus of the material of the wire will be,

A

`1 xx 10^(12) N//m^(2)`

B

`1.5 xx 10^(12) N//m^(2)`

C

`2 xx 10^(12) N//m^(2)`

D

`2.5 xx 10^(12) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(E)/(V) = (1)/(2) Y ("Strain")^(2)`
`:. 4 xx 10^(4) = (1)/(2) Y (2 xx 10^(-4))^(2)`
`:. Y = 2 xx 10^(12) N//m^(2)`
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