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Young's modulus of material of wire is '...

Young's modulus of material of wire is 'Y' and strain energy per unit volume is 'E', then the strain

A

`sqrt((Y)/(2E))`

B

`sqrt((E)/(Y))`

C

`sqrt((2E)/(Y))`

D

`sqrt(2EY)`

Text Solution

Verified by Experts

The correct Answer is:
C
Strain energy per unit volume
`= (1)/(2) ("stress" xx "strain")` but `Y = ("stress")/("strain")`
`E = (1)/(2) ("strain" xx Y) xx "strain" = (1)/(2)Y("strain")^(2)`
`:. ("strain")^(2) = (2E)/(Y) :. "strain" = sqrt((2E)/(Y))`
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