In the relation $P = \frac{\alpha }{\beta }{e^{ - \frac{{\alpha Z}}{{k\theta }}}}$ $P$ is pressure, $Z$ is the distance, $k$ is Boltzmann constant and $\theta$ is the temperature. The dimensional formula of $\beta$ will be

  • [IIT 2004]
  • A

    $[{M^0}{L^2}{T^0}]$

  • B

    $[{M^1}{L^2}{T^1}]$

  • C

    $[{M^1}{L^0}{T^{ - 1}}]$

  • D

    $[{M^0}{L^2}{T^{ - 1}}]$

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