Co-efficient of performance for a reversed Carnot cycle working between temperatures T₁ and T₂ (T₁ > T₂) is

ANS:A -

The coefficient of performance (𝐶𝑂𝑃COP) for a reversed Carnot cycle, which operates between two temperature reservoirs 𝑇1T1​ and 𝑇2T2​ (where 𝑇1T1​ is the higher temperature and 𝑇2T2​ is the lower temperature), can be expressed as: 𝐶𝑂𝑃=𝑇2𝑇1−𝑇2COP=T1​−T2​T2​​ In a reversed Carnot cycle, the system acts as a refrigerator or heat pump, transferring heat from a lower-temperature reservoir (the cold reservoir at 𝑇2T2​) to a higher-temperature reservoir (the hot reservoir at 𝑇1T1​). The 𝐶𝑂𝑃COP represents the ratio of the desired effect (heat transfer from the cold reservoir) to the required work input. Therefore, the coefficient of performance for a reversed Carnot cycle is given by 𝑇2𝑇1−𝑇2T1​−T2​T2​​.