AIIMS2018Physics-Thermodynamics

AIIMS 2018 Physics Refrigeration Cycles MCQ Question

Type: MCQ-numerical-Medium-Class 11

If the coefficient of performance of a refrigerator is β\beta and the heat given to the surroundings is Q2Q_2, then what is the heat absorbed?

A

Q2(β1)β\frac{Q_2(\beta-1)}{\beta}

B

Q2(β+1)β\frac{Q_2(\beta+1)}{\beta}

C

β+1βQ2\frac{\beta+1}{\beta Q_2}

D

β1βQ2\frac{\beta-1}{\beta Q_2}

Correct Answer

Option A

Detailed Explanation

The equation derived from the efficiency of a refrigerator, β = Q₂/(Q₂ - Q₁), leads to the expression Q₁ = Q₂(β - 1)/β, which accurately represents the relationship between the heat absorbed (Q₂) and the heat rejected (Q₁) in a refrigeration cycle. This demonstrates how the cooling effect (Q₂) and work input relate to the efficiency of the refrigerator. Since the other options are labeled as N/A, they do not provide any relevant information or alternative answers, making option A the only valid choice in this context. Understanding this relationship is crucial for analyzing the performance of refrigeration systems in thermodynamics.

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