The work done by a gas molecule in an isolated system is given by $W = \alpha \beta^{2} e^{-\frac{x^{2}}{\alpha kT}}$,where $x$ is the displacement,$k$ is the Boltzmann constant,$T$ is the temperature,and $\alpha$ and $\beta$ are constants. Then the dimension of $\beta$ will be:

  • A
    $[M L^{2} T^{-2}]$
  • B
    $[M L T^{-2}]$
  • C
    $[M^{2} L T^{2}]$
  • D
    $[M^{0} L T^{0}]$

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