1.

If x longitudinal strain is produced in a wire of Young's modulus Y, then potential energy stored in a material of the wire per unit volume is ..........

Answer»

`YX ^(2)`
`2Yx ^(2)`
`(Y^(2) x )/(2)`
`(Yx ^(2))/(2)`

Solution :POTENTIAL energy stred in a wire per UNIT volume
`U =1/2 xx ` stress `xx` strain
`=1/2 xx Yxx` strain `xx` strain `[ because Y= ("Stress")/("Strain") ]`
`= (Yxx ("strain") ^(2))/(2)`
`= (Yx ^(2))/(2)`


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