The workdone 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 and $T$ is the temperature, $\alpha$ and $\beta$ are constants. Then the dimension of $\beta$ will be

  • [JEE MAIN 2021]
  • A

    $\left[ M L ^{2} T ^{-2}\right]$

  • B

    $\left[ M L T ^{-2}\right]$

  • C

    $\left[ M ^{2} L T ^{2}\right]$

  • D

    $\left[ M ^{0} L T ^{0}\right]$

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