Three Carnot engines operate in series... | Thermodynamics | JEE Main 2019

JEE Main 2019

10-01-2019 S1

Question

Three Carnot engines operate in series between a heat source at a temperature $T_1$ and a heat sink at temperature $T_4$ (see figure). There are two other reservoirs at temperature $T_2$ and $T_3$, as shown, with $T_1>T_2> T_3>T_4$. The three engines are equally efficient if

Select the correct option:

A

$\mathrm{T}_2=\left(\mathrm{T}_1 \mathrm{~T}_4^2\right)^{1 / 3} ; \mathrm{T}_3=\left(\mathrm{T}_1^2 \mathrm{~T}_4\right)^{1 / 3}$

B

$\mathrm{T}_2=\left(\mathrm{T}_1^3 \mathrm{~T}_4\right)^{1 / 4} ; \mathrm{T}_3=\left(\mathrm{T}_1 \mathrm{~T}_4^3\right)^{1 / 4}$

C

$\mathrm{T}_2=\left(\mathrm{T}_1 \mathrm{~T}_4\right)^{1 / 2} ; \mathrm{T}_3=\left(\mathrm{T}_1^2 \mathrm{~T}_4\right)^{1 / 3}$

D

$T_2=\left(T_1^2 T_4\right)^{1 / 3} ; T_3=\left(T_1 T_4^2\right)^{1 / 3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Hard

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