An expression of energy density is given by $u=\frac{\alpha}{\beta} \sin \left(\frac{\alpha x}{k t}\right)$, where $\alpha, \beta$ are constants, $x$ is displacement, $k$ is Boltzmann constant and $t$ is the temperature. The dimensions of $\beta$ will be.

  • [JEE MAIN 2022]
  • A

    $\left[ ML ^{2} T ^{-2} \theta^{-1}\right]$

  • B

    $\left[ M ^{0} L ^{2} T ^{-2}\right]$

  • C

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

  • D

    $\left[ M ^{0} L ^{2} T ^{0}\right]$

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