JEE Mains · Physics · STD 11 - 11. thermodynamics
Two Carnot engines \(A\) and \(B\) are operated in series. The first one, \(A,\) receives heat at \(T_1(= 600\,K)\) and rejects to a reservoir at temperature \(T_2.\) The second engine \(B\) receives heat rejected by the first engine and, in turns, rejects to a heat reservoir at \(T_3 (=400\,K).\) Calculate the temperature \(T_2\) if the work outputs of the two engines are equal ..... \(K\)
- A \(600\)
- B \(400\)
- C \(300\)
- D \(500\)
Answer & Solution
Correct Answer
(D) \(500\)
Step-by-step Solution
Detailed explanation
\(W_1 = W_2\) \(\Rightarrow \,\,\,600-T_2\,=\,T_2\,-\,400\) \(\Rightarrow T_2\,=\,500\,K\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A charge \(q\) is placed at the center of one of the surface of a cube. The flux linked with the cube is _______.JEE Mains 2024 Hard
- An massless equilateral triangle \(EFG\) of side \('a'\) (As shown in figure) has three particles of mass \(m\) situated at its vertices. The moment of intertia of the system about the line \(EX\) perpendicular to \(EG\) in the plane of \(EFG\) is \(\frac{ N }{20}\, ma ^{2}\) where \(N\) is an integer. The value of \(N\) is
JEE Mains 2020 Medium - Two cells of emf \(2\, E\) and \(E\) with internal resistance \(r _{1}\) and \(r _{2}\) respectively are connected in series to an external resistor \(R\) (see \(figure\)). The value of \(R ,\) at which the potential difference across the terminals of the first cell becomes zero is
JEE Mains 2021 Hard - A uniform magnetic field \(B\) exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of \(4\, mm\) and a total length of \(30\, cm\) The magnetic field changes with time at a steady rate \(dB / dt =0.032\, Ts ^{-1} .\) The induced current in the \(100 p\) is close to \(....A\) (Resistivity of the metal wire is \(\left.1.23 \times 10^{-8}\, \Omega m \right)\)JEE Mains 2020 Hard
- Solid sphere \(A\) is rotating about an axis \(PQ\). If the radius of the sphere is \(5\,cm\) then its radius of gyration about \(P Q\) will be \(\sqrt{x} \;cm\). The value of \(x\) is \(................\).
JEE Mains 2023 Medium - Identify the valid statements relevant to the given circuit at the instant when the key is closed.

A. There will be no current through resistor \(R\).
B. There will be maximum current in the connecting wires.
C. Potential difference between the capacitor plates A and B is minimum.
D. Charge on the capacitor plates is minimum.
Choose the correct answer from the options given below:JEE Mains 2025 Easy
More PYQs from JEE Mains
- If one wants to remove all the mass of the earth to infinity in order to break it up completely. The amount of energy that needs to be supplied will be \(\frac{x}{5}\, \frac{ GM ^{2}}{ R }\) where \(x\) is \(\quad\,..........\) (Round off to the Nearest Integer) (\(M\) is the mass of earth, \(R\) is the radius of earth, \(G\) is the gravitational constant)JEE Mains 2021 Hard
- A plane passing through the points \((0, -1, 0)\) and \((0, 0, 1)\) and making an angle \(\frac {\pi }{4}\) with plane \(y -z + 5 = 0,\) also passes through the pointJEE Mains 2019 Hard
- If \(e ^{\left(\cos ^{2} x+\cos ^{4} x+\cos ^{6} x+\ldots \ldots \infty\right) \log _{e} 2}\) satisfies the equation \(t ^{2}-9 t +8=0,\) then the value of \(\frac{2 \sin x}{\sin x+\sqrt{3} \cos x}\left(0 < x < \frac{\pi}{2}\right)\) isJEE Mains 2021 Hard
- If \(\int {\frac{{dx}}{{{{\cos }^3}\,x\sqrt {2\,\sin \,2x} }} = {{(\tan \,\,x)}^A} + C{{(\tan \,\,x)}^B} + k,} \) where \(k\) is a constant of integration, then \(A+ B + C\) equalsJEE Mains 2016 Hard
- The lengths of the sides of a triangle are \(10+ x ^{2}\), \(10+ x ^{2}\) and \(20-2 x ^{2}\). If for \(x = k\), the area of the triangle is maximum, then \(3 K ^{2}\) is equal toJEE Mains 2022 Hard
- Let \(A = \left[ {\begin{array}{*{20}{c}}
2&b&1 \\
b&{{b^2} + 1}&b \\
1&b&2
\end{array}} \right]\) where \(b > 0\). Then the minimum value of \(\frac{{\det \left( A \right)}}{b}\) isJEE Mains 2019 Hard