JEE Main 2022 (28 Jul, Shift 2) Physics Q1: Consider the…

Question

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

Accepted Answer

Option 4: Dimensions of $\alpha$ is same as that of $\beta$.

Answer

Dimensions of $\beta$ is same as that of force.

Answer

Dimensions of $\alpha^{-1}x$ is same as that of energy.

Answer

Dimensions of $\eta^{-1}\sin	heta$ is same as that of $\alpha\beta$.

Answer

Dimensions of $\alpha$ is same as that of $\beta$.

JEE Main 28 July 2022, Shift 2, Physics Q1