Easy MCQ +4 / -1 PYQ · JEE Mains 2023

Given below are two statements: one is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$

Assertion A: Efficiency of a reversible heat engine will be highest at $-273^{\circ} \mathrm{C}$ temperature of cold reservoir.

Reason R: The efficiency of Carnot's engine depends not only on the temperature of the cold reservoir but it depends on the temperature of the hot reservoir too and is given as $\eta=\left(1-\frac{T_{2}}{T_{1}}\right)$

In the light of the above statements, choose the correct answer from the options given below

  1. A Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$ Correct answer
  2. B Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$
  3. C A is false but $\mathbf{R}$ is true
  4. D A is true but $\mathbf{R}$ is false

Solution

<p>$\eta = 1 - {{{T_{\mathrm{cold}}}} \over {{T_{\mathrm{hot}}}}}$</p> <p>${T_{\mathrm{cold}}} = \mathrm{OK} \Rightarrow \eta = 1$ (max)</p> <p>A is correct.</p> <p>R is also correct and explains A.</p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

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