JEE Main 2019 — Physics solution | Fundamenthol

JEE Main2019Physics

Q.

Three Carnot engines operate in series between a heat source at a temperature T₁ and a heat sink at temperature T₄ (see figure). There are two other reservoirs at temperature T₂, and T₃, as shown, with T₁ > T₂ > T₃ > T₄. The three engines are equally efficient if:

A
$T_{2} = (T_{1}^{2} T_{4})^{1/3}; T_{3} = (T_{1} T_{4}^{2})^{1/3}$
B
$T_{2} = (T_{1} T_{4}^{2})^{1/3}; T_{3} = (T_{1}^{2} T_{4})^{1/3}$
C
$T_{2} = (T_{1}^{3} T_{4})^{1/4}; T_{3} = (T_{1} T_{4}^{3})^{1/4}$
D
$T_{2} = (T_{1} T_{4})^{1/2}; T_{3} = (T_{1}^{2} T_{4})^{1/3}$

Solution

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