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.

  • A
    $[ML^{2}T^{-2}\theta^{-1}]$
  • B
    $[M^{0}L^{2}T^{-2}]$
  • C
    $[M^{0}L^{0}T^{0}]$
  • D
    $[M^{0}L^{2}T^{0}]$

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