Physics · Thermodynamics

JEE Main 2025 — 29 January, Evening Shift — Question 18

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)

Assertion (A): With the increase in the pressure of an ideal gas, the volume falls off more rapidly in an isothermal process in comparison to the adiabatic process.

Reason (R): In isothermal process, PV = constant, while in adiabatic process PVγ=\mathrm{PV}^{\gamma}= constant. Here γ\gamma is the ratio of specific heats, P is the pressure and V is the volume of the ideal gas.

In the light of the above statements, choose the correct answer from the options given below

  1. Option A:

    Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

  2. Option B:

    (A) is true but ( R\mathbf{R} ) is false

  3. Option C:

    Both (A) and (R) are true and (R) is the correct explanation of (A).

  4. Option D:

    (A) is false but (R) is true

    Correct

Answer: D

Step-by-step solution

(dPdV)Adiabatic >(dPdV)Isothermal \left(\frac{\mathrm{dP}}{\mathrm{dV}}\right)_{\text {Adiabatic }}>\left(\frac{\mathrm{dP}}{\mathrm{dV}}\right)_{\text {Isothermal }}
Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Thermodynamics
Topic
Different Thermodynamic Processes
Given below are two statements: One is labelled as Assertion (A) and… | JEE Main 2025 PYQ with Solution · DhiX AI