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If in a wire of Young's moduls Y, longit...

If in a wire of Young's moduls `Y`, longitudinal strain `X` is produced then the potential energy stored in its unit volume will be:

A

`Y alpha^(2)`

B

`2 Y alpha^(2)`

C

`Y alpha^(2)//2`

D

`Y^(2)alpha//2`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If in a wier of Young's modulus Y, longitudinal strain X is produced, then the value of potential energy stored in its unit volume will be

    A
    `0.5 YX^(2)`
    B
    `0.5 Y^(2) X`
    C
    `2 YX^(2)`
    D
    `YX^(2)`

  • On stretching a wire, the elastic energy stored pre unit volume is

    A
    `Fl//2AL`
    B
    `FA//2L`
    C
    `FL//2A`
    D
    `FL//2`

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

    A
    `yx^(2)`
    B
    `2yx^(2)`
    C
    `(1)/(2)y^(2)x`
    D
    `(1)/(2)yx^(2)`

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