JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 4 April 2024, Shift 2, Physics Q39

Question 39 of 90 in this shift, Physics question 9 of 30, Section A.

A sample of gas at temperature

T

is adiabatically expanded to double its volume. Adiabatic constant for the gas is

\gamma = 3/2

. The work done by the gas in the process is: (

\mu

= 1 mole)

(1) $RT\left[2-\sqrt{2}\right]$ Official answer
(2) $RT\left[\sqrt{2}-2\right]$
(3) $RT\left[2\sqrt{2}-1\right]$
(4) $RT\left[1-2\sqrt{2}\right]$

Official answer

Option 1

NTA final key.

Chapter: Thermodynamics
Topic: Thermodynamic Processes
Idea tested: Adiabatic Process Analysis

Same idea in other shifts

Asked 16× in all

6 Apr 2026, Shift 2 · Q30A cylinder with adiabatic walls is closed at both ends and is divided into two compartments by a frictionless adiabatic piston. Ideal gas…HardSingle correct
2 Apr 2025, Shift 1 · Q31In an adiabatic process, which of the following statements is true ?EasySingle correct
2 Apr 2025, Shift 2 · Q32Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in the process is…MediumOther
8 Apr 2025, Shift 2 · Q33A monoatomic gas having $\gamma = \frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to…EasySingle correct
9 Apr 2024, Shift 1 · Q38A sample of $1$ mole gas at temperature T is adiabatically expanded to double its volume. If adiabatic constant for the gas is…MediumSingle correct
9 Apr 2024, Shift 1 · Q39The volume of an ideal gas ( $\gamma=1.5$ ) is changed adiabatically from $5$ litres to $4$ litres. The ratio of initial pressure to final…EasySingle correct
10 Apr 2023, Shift 1 · Q33Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is…MediumSingle correct
10 Apr 2023, Shift 2 · Q34A gas is compressed adiabatically, which one of the following statement is NOT true.EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.