An expression for a dimensionless quantity P is given by P =(α)/(β) log_e (kt/(β x)); where α and β are constants, x is distance; k is Boltzmann…

An expression for a dimensionless quantity P is given by $\displaystyle \mathrm{P}=\frac{\alpha}{\beta} \log _{\mathrm{e}}\left(\frac{\mathrm{kt}}{\beta x}\right)$; where $\displaystyle \alpha$ and $\displaystyle \beta$ are constants, $\displaystyle x$ is distance; k is Boltzmann constant and t is the temperature. Then the dimensions of $\displaystyle \alpha$ will be :