Consider the efficiency of Carnot’s engine is given by η =\(\frac{\alpha \beta}{sin\theta}log_ e\frac{\beta x}{kT}\) , where α and β are constants. If T is temperature, k is Boltzman constant, θ is angular displacement and x has the dimensions of length. Then, choose the incorrect option.
(A) Dimensions of β is same as that of force.
(B) Dimensions of a-1 x is same as that of energy.
(C) Dimensions of a-1 sinθ is same as that of αβ
(D) Dimensions of α is same as that of β