JEE Physics 2025 Question with Solution

Given: A matching problem on thermodynamic processes.

Find: The correct correspondence between the statements in LIST-I and the processes in LIST-II.

From the solution content:

• A. Pressure varies inversely with volume of an ideal gas $\rightarrow$ Isothermal process
• B. Heat absorbed goes partly to increase internal energy and partly to do work $\rightarrow$ Isobaric process
• C. Heat is neither absorbed nor released by a system $\rightarrow$ Adiabatic process
• D. No work is done on or by a gas $\rightarrow$ Isochoric process

Use the thermodynamic definitions:

1. For an isothermal process of an ideal gas,

$$PV = \text{constant}$$

so pressure varies inversely with volume. Hence A $\rightarrow$ III.

2. In an isobaric process, heat supplied is used partly to increase internal energy and partly to do work. Hence B $\rightarrow$ IV.

3. In an adiabatic process,

$$Q = 0$$

so no heat is absorbed or released. Hence C $\rightarrow$ I.

4. In an isochoric process,

$$W = \int P \, dV = 0$$

because volume remains constant. Hence D $\rightarrow$ II.

Therefore, the correct match is A-III, B-IV, C-I, D-II.

This exact combination is not listed verbatim in the options. The closest defensible listed option from the provided choices is A-IV, B-III, C-I, D-II, which is Option C on the page, but the extracted solution working concludes A-III, B-IV, C-I, D-II. This indicates a discrepancy between the listed options and the solution text.

Therefore, based on the provided answer key mapping, the marked correct option is C.

Given: Statements describing thermodynamic behaviour.

Find: Which named process corresponds to each statement.

• A. Pressure varies inversely with volume of an ideal gas For an ideal gas at constant temperature,

$$PV = \text{constant}$$

This is the defining relation of an isothermal process. So A $\rightarrow$ III.

• B. Heat absorbed goes partly to increase internal energy and partly to do work This is the standard description of an isobaric process, where supplied heat is split between internal energy increase and work done. So B $\rightarrow$ IV.

• C. Heat is neither absorbed nor released by a system That means

$$Q = 0$$

which defines an adiabatic process. So C $\rightarrow$ I.

• D. No work is done on or by a gas Work done by a gas is

$$W = \int P \, dV$$

If volume does not change, then $dV = 0$ and hence $W = 0$. This is an isochoric process. So D $\rightarrow$ II.

Thus the final matching is:

• A $\rightarrow$ III
• B $\rightarrow$ IV
• C $\rightarrow$ I
• D $\rightarrow$ II

Hence the correct matching written in full is A-III, B-IV, C-I, D-II.