JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 1 February 2024, Shift 1, Physics Q38

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

The pressure and volume of an ideal gas are related as

PV^{\frac{3}{2}} = K

(Constant). The work done when the gas is taken from state A (

P_1, V_1, T_1

) to state B (

P_2, V_2, T_2

) is :

(1) $2\,(P_2V_2 - P_1V_1)$
(2) $2\left(P_2\sqrt{V_2} - P_1\sqrt{V_1}\right)$
(3) $2\,(P_1V_1 - P_2V_2)$ Official answer
(4) $2\left(\sqrt{P_1}V_1 - \sqrt{P_2}V_2\right)$

Official answer

Option 3

NTA final key.

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

Same idea in other shifts

Asked 5× in all

30 Jan 2024, Shift 1 · Q38Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $C_A$ and $C_B$ . The molar heat…HardDiagram basedHas a figure
25 Feb 2021, Shift 1 · Q29In a certain thermodynamical process, the pressure of a gas depends on its volume as $kV^{3}$ . The work done when the temperature changes…MediumNumerical value
25 Feb 2021, Shift 2 · Q5Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If $V_2 = 2V_1$ then the ratio of temperature…EasyDiagram basedHas a figure
26 Feb 2021, Shift 2 · Q23The volume V of a given mass of monoatomic gas changes with temperature T according to the relation V = K $T^{\frac{2}{3}}$ . The workdone…MediumNumerical value

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.