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When an elastic material with Young's mo...

When an elastic material with Young's modulus Y is subjected to stretching stress S, elastic energy stored per unit volume of the material is :

A

`(YS)/(2)`

B

`(S ^(2)Y)/(2)`

C

`(S ^(2))/(2Y)`

D

`(S)/(2Y)`

Text Solution

Verified by Experts

The correct Answer is:
C
Energy stored per unit volume
`=1/2 xx ` stress `xx` strain
`=1/2xx` stress `xx (("stress")/("Young.s modulus"))`
`=1//2 xx (("stress") ^(2))/("Young .s modulus") = (S ^(2))/( 2Y)`
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