Q.

The efficiency of carnot's heat engine is 0.5 when the temperature of the source is T1 and that of sink is T2. The efficiency of another Carnot's heat engine is also 0.5. The temperature of source and sink of the second engine are respectively ...................

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a

T1+5, T2−5

b

T1+10, T2−10

c

2T1, 2T2

d

2T1, T22

answer is C.

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Detailed Solution

Given,  η=0.5=1−T1T2=1−2T22T1
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The efficiency of carnot's heat engine is 0.5 when the temperature of the source is T1 and that of sink is T2. The efficiency of another Carnot's heat engine is also 0.5. The temperature of source and sink of the second engine are respectively ...................