Thermodynamics Question 14

Question 14 - 30 January - Shift 2

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Efficiency of a reversible heat engine will be highest at $-273^{\circ} C$ temperature of cold reservoir.

Reason R : The efficiency of Carnot’s engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as $\eta=(1-\frac{T_2}{T_1})$.

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

(1) $\mathbf{A}$ is true but $\mathbf{R}$ is false

(2) Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$

(3) $\mathbf{A}$ is false but $\mathbf{R}$ is true

(4) Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$

Show Answer

Answer: (4)

Solution:

Formula: Efficiency of Carnot engine

Both $A$ and $R$ are true and $R$ is the correct explanation of $A$