Consider the efficiency of carnot's engine is given by …, where … and … are constants. If T is temperature, k is Boltzmann constant, … is angular displacement and x has the dimensions of length. Then, choose the incorrect option :

Option D. Since, dimensions trigonometric function and logarithmic function are dimensionless quantities.

Units and Measurements

JEE Main 2022 · 28 Jul, Evening shift · Q8262

PhysicsMedium156×since 2002Q8262

Consider the efficiency of carnot's engine is given by

\eta=\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 :