On all the six surfaces of a unit cube, equal tensile force of $F$ is applied. The increase in length of each side will be ($Y =$ Young's modulus, $\sigma $= Poission's ratio)

  • A

    $\frac{F}{{Y(1 - \sigma )}}$

  • B

    $\frac{F}{{Y(1 + \sigma )}}$

  • C

    $\frac{{F(1 - 2\sigma )}}{Y}$

  • D

    $\frac{F}{{Y(1 + 2\sigma )}}$

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