Question

Efficiency of a heat engine working between a given source and sink is $\mathrm{0.5.}$ Coefficient of performance of the refrigerator working between the same source and the sink will be

• A. $1$
• B. $0.5$
• C. $1.5$
• D. $2$

Answer 1

The correct option is A $1$

Efficiency, E =0.5

We know that efficiency and coefficient of performance is given by,

Coefficient of performance $\beta =\frac{1-E}{E}$

$\Rightarrow \beta =\frac{1-0.5}{0.5}$

Therefore, $\beta =1$

Hence, A is the correct option.