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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

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(D) Dimensions of α is same as that of β

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