JEE Mains · Physics · STD 11 - Kinetic theory of gases
- JEE Mains 2024
- Hard
- MCQ
Two thermodynamical process are shown in the figure. The molar heat capacity for process \(A\) and \(B\) are \(C_A\) and \(C_B\). The molar heat capacity at constant pressure and constant volume are represented by \(C_P\) and \(C_V\), respectively. Choose the correct statement.

Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(C_P>C_B>C_A>C_v\)
Step-by-step Solution
Detailed explanation
For process \(\mathrm{A}\)
\( \log P=\gamma \log \mathrm{V} \Rightarrow \mathrm{P}=\mathrm{V}^\gamma,(\gamma>1) \)
\( P V^{-\gamma}=\text { Constant } \)
\( C_A=C_V+\frac{R}{1+\gamma} \ldots . \text { (i) }\)
Likewise for process \(\mathrm{B} \rightarrow P V^{-1}=\) \(Cons\) \(\tan t\)
\(C_B\) \( =C_v+\frac{R}{1+1} \)
\(C_B\) \( =C_v+\frac{R}{2} \) \(.............(ii)\)
\(C_P\) \(=C_v+R\) \(...........(iii)\)
By \((i)\), \((ii)\) & \((iii)\) \(C_P>C_B>C_A>C_v\) [No answer matching]
\( \log P=\gamma \log \mathrm{V} \Rightarrow \mathrm{P}=\mathrm{V}^\gamma,(\gamma>1) \)
\( P V^{-\gamma}=\text { Constant } \)
\( C_A=C_V+\frac{R}{1+\gamma} \ldots . \text { (i) }\)
Likewise for process \(\mathrm{B} \rightarrow P V^{-1}=\) \(Cons\) \(\tan t\)
\(C_B\) \( =C_v+\frac{R}{1+1} \)
\(C_B\) \( =C_v+\frac{R}{2} \) \(.............(ii)\)
\(C_P\) \(=C_v+R\) \(...........(iii)\)
By \((i)\), \((ii)\) & \((iii)\) \(C_P>C_B>C_A>C_v\) [No answer matching]
More questions from Physics
- A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius orbit of planet is _______. (Given \(=\) Radius of geo-stationary orbit for earth is \(4.2 \times 10^4 \mathrm{~km}\) )JEE Mains 2024 Hard
- The magnetic moments associated with two closely wound circular coils \(A\) and \(B\) of radius \(r_A=10 cm\) and \(r_B=20 cm\) respectively are equal if: (Where \(N _A, I _{ A }\) and \(N _B, I _{ B }\) are number of turn and current of \(A\) and \(B\) respectively)JEE Mains 2023 Medium
- Water of volume \(2\, L\) in a closed container is heated with a coil of \(1\,kW\). While water is heated, the container loses energy at a rate of \(160\, J/s\) . In how much time will the temperature of water rise from \(27\,^oC\) to \(77\,^oC\) ? (Specific heat of water is \(4.2\, kJ/kg\) and that of the container is negligible)JEE Mains 2014 Hard
- The dimension of mutual inductance is ............JEE Mains 2022 Medium
- A cylinder with adiabatic walls is closed at both ends and is divided into two compartments by a frictionless adiabatic piston. Ideal gas is filled in both (left and right) the compartments at same \(P, V, T\). Heating is started from left side until pressure changes to \(\dfrac{27P}{8}\). If initial volume of each compartment was \(9\) litres then the final volume in right-hand side compartment is __________ litres. (for this ideal gas \(C_P/C_V = 1.5\))JEE Mains 2026 Hard
- The magnitude of magnetic induction at mid-point \(O\) due to current arrangement as shown in Fig will be
JEE Mains 2023 Medium
More PYQs from JEE Mains
- Two engines pass each other moving in opposite directions with uniform speed of \(30\,m/s\) . One of them is blowing a whistle of frequency \(540\,Hz.\) Calculate the frequency heard by driver of second engine before they pass each other ... \(Hz\). Speed of sound is \(330\,m/sec\)JEE Mains 2016 Easy
- For a uniformly charged ring of radius \(R\), the electric field on its axis has the largest magnitude at a distance \(h\) from its centre. Then value of \(h\) isJEE Mains 2019 Hard