JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 April 2024, Shift 1, Physics Q38

Question 38 of 90 in this shift, Physics question 8 of 30, Section A.

A sample of

1

mole gas at temperature T is adiabatically expanded to double its volume. If adiabatic constant for the gas is

\gamma=\frac{3}{2}

, then the work done by the gas in the process is :

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

Official answer

Option 1

NTA final key.

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

Same idea in other shifts

Asked 8× in all

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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
25 Jul 2022, Shift 1 · Q37A certain amount of gas of volume $V$ at $27^\circ$ C temperature and pressure $2\times10^{7}\ \mathrm{Nm^{-2}}$ expands isothermally until…MediumSingle correct
18 Mar 2021, Shift 1 · Q4The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD…MediumSingle correctHas a figure

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 42 of the 174 JEE Main shifts held from 2017 to 2026.