JEE Mains · Physics · STD 11 - Thermodynamics
- JEE Mains 2022
- Hard
- MCQ
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 Boltzman constant, \(\theta\) is angular displacement and \(x\) has the dimensions of length. Then, choose the incorrect option.
Pick an option to check your answer.
Answer & Solution
Correct Answer
(D) Dimensions of \(\alpha\) is same as that of \(\beta\)
Step-by-step Solution
Detailed explanation
\([\alpha \beta]=[\eta]=[\sin \theta]=\) Dimensionless
\(\left[\eta^{-1} \sin \theta\right]=[\alpha \beta]=\text { D.L. }\)
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