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A refrigerator, whose coefficient of performance $β$ is 4, extracts heat from the cooling compartment at the
rate of 400 J per cycle. How much work per cycle is required to operate the refrigerator?

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50 J

100 J

25 J

200 J

answer is A.

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Detailed Solution

$β = \frac{Q_{2}}{W} \Rightarrow 4 = \frac{400}{W}$

$\Rightarrow W = 100 J$

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