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← JEE Main 2022 · 24 Jun · Shift 1
PhysicsSingle correct+4 / -1Question 47 of 90

JEE Main 2022 · 24 Jun · Shift 1, Physics question 47

A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100% of the original efficiency ?

Choose one option
Answer and worked solution

Official answer: B

Original source. 0.25=1−300T10.25=1-\dfrac{300}{T_1}, so T1=400T_1=400 K.

Doubled efficiency. 0.5=1−300T1′0.5=1-\dfrac{300}{T_1'}, so T1′=600T_1'=600 K.

Change. The source temperature increases by 200 K, which is 200°C.

(B)