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AIIMS2019Physics-Thermodynamics

AIIMS 2019 Physics Heat Engines MCQ Question

Type: MCQ-numerical-Medium-Class 11

Determine coefficient of performance of given temperature limit.

T1=27∘C [outside fridge]T_1 = 27^\circ\text{C}\ \text{[outside fridge]}

T2=−23∘C [inside fridge]T_2 = -23^\circ\text{C}\ \text{[inside fridge]}

A

4

B

5

C

6

D

7

Correct Answer

Option B

Detailed Explanation

The coefficient of performance (COP) is a measure of the efficiency of a heat pump or refrigeration cycle, defined as COP = Q₁ / (Q₁ + Q₂), where Q₁ is the heat extracted from the cold reservoir and Q₂ is the heat rejected to the hot reservoir. In the provided calculation, COP is determined as 250 / (300 - 250) = 5, indicating that for every unit of work input, the system can transfer five units of heat. Since option B is marked as correct, it likely corresponds to a specific context or condition that validates this calculation, while the other options, being marked as N/A, do not provide relevant alternative scenarios or values for comparison. Understanding COP is crucial for evaluating the performance of thermal systems, such as those involving H₂O or CO₂ as working fluids.

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