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JEE · NEET Previous Year Question

$A carnot engine has the same efficiency between 800 K to 500 K and x K to 600 K. The value of x is$

Topic: NEET PYQ

Answer: B. Full step-by-step solution below.

A $1000 K$
B $960 K$
C $846 K$
D $754 K$

Correct answer: B

Solution

(b) In first case, (η_{1}) = 1 - \frac{500}{800} = \frac{3}{8} and in second case, (η_{2}) = 1 - \frac{600}{x} Since η_{1} = η_{2}, therefore \frac{3}{8} = 1 - \frac{600}{x} or \frac{600}{x} = 1 - \frac{3}{8} = \frac{5}{8} or x = \frac{600 \times 8}{5} = 960 K

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