Which of the following expresses the correct relation between the coefficient of…

PHYSICS · Single correct · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

Which of the following expresses the correct relation between the coefficient of performance of a heat pump (

\text{COP}_{\mathrm{HP}}

) and that of a refrigerator (

\text{COP}_{\mathrm{ref}}

) working between the same two temperature reservoirs? (a)

\text{COP}_{\mathrm{HP}} = \dfrac{1}{\text{COP}_{\mathrm{ref}}}

(b)

\text{COP}_{\mathrm{HP}} = \text{COP}_{\mathrm{ref}} - 1

(c)

\text{COP}_{\mathrm{HP}} = \text{COP}_{\mathrm{ref}} + 1

(d)

\text{COP}_{\mathrm{HP}} = \text{COP}_{\mathrm{ref}}