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