The efficiency of an engine is given by $\eta = \frac{\alpha\beta}{\sin\theta} \cdot \log_e\left(\frac{\beta x}{kT}\right)$, where $\alpha$ and $\beta$ are constants. If $T$ is the absolute temperature, $k$ = Boltzmann constant, $\theta$ = angular displacement and $x$ is distance, then the incorrect statement is