Consider the efficiency of carnot's engine is given by η=(α β)/(sin θ) log e (β x)/(k T), where α and β are constants. If T is temperature, k is…

Consider the efficiency of carnot's engine is given by $\displaystyle \eta=\frac{\alpha \beta}{\sin \theta} \log e \frac{\beta x}{k T}$, where $\displaystyle \alpha$ and $\displaystyle \beta$ are constants. If T is temperature, k is Boltzmann constant, $\displaystyle \theta$ is angular displacement and $\displaystyle x$ has the dimensions of length. Then, choose the incorrect option :