JEE Advanced 2025 Physics question

The efficiency of a Carnot engine operating with a hot reservoir kept at a temperature of 1000 K is 0.4. It extracts 150 J of heat per cycle from the hot reservoir. The work extracted from this engine is being fully used to run a heat pump which has a coefficient of performance 10. The hot reservoir of the heat pump is at a temperature of 300 K. Which of the following statements is/are correct:

• (A)Work extracted from the Carnot engine in one cycle is 60 J.Correct
• (B)Temperature of the cold reservoir of the Carnot engine is 600 K.Correct
• (C)Temperature of the cold reservoir of the heat pump is 270 K.Correct
• (D)Heat supplied to the hot reservoir of the heat pump in one cycle is 540 J.