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

A

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

B

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

C

$$[M^0L^0T^0]$$

D

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