Efficiency of a Carnot engine working between temperatures T₁ and T₂ (T₁ < T₂) is

A. $$\frac{{{{\text{T}}_2} - {{\text{T}}_1}}}{{{{\text{T}}_2}}}$$

B. $$\frac{{{{\text{T}}_2} - {{\text{T}}_1}}}{{{{\text{T}}_1}}}$$

C. $$\frac{{{{\text{T}}_1} - {{\text{T}}_2}}}{{{{\text{T}}_2}}}$$

D. $$\frac{{{{\text{T}}_1} - {{\text{T}}_2}}}{{{{\text{T}}_1}}}$$

Answer: Option A

Solution(By Examveda Team)

Here the question should be read carefully given $$\left( {{T_1} < {T_2}} \right)$$
So, the hot reservoir is $${{T_2}}$$ and cold reservoir is $${{T_1}}$$ hence the efficiency will be $$\aleph = 1 - \frac{{{T_1}}}{{{T_2}}}$$