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A system undergoes a cyclic process in which it absorbs $Q_{1}$ heat and gives out $Q_{2}$ heat. The efficiency of the process is $η$ and the work done is W. Which of the following is false

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W= $Q_{1} - {Q_{2}}_{}$

$η = \frac{W}{Q_{1}}$

$η = {(\frac{Q_{2}}{Q_{1}})}^{γ - 1}$

$η = 1 - \frac{Q_{2}}{Q_{1}}$

answer is C.

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Detailed Solution

The equation $η = {(\frac{Q_{2}}{Q_{1}})}^{γ - 1} is not the efficency equation but all other equations are correct .$ is an incomplete equation hence does not make any sense other three equations are correct

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