JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 28 July 2022, Shift 2, Physics Q8

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

A vessel contains 14 g of nitrogen gas at a temperature of

27^\circ

C. The amount of heat to be transferred to the gas to double the r.m.s speed of its molecules will be : Take R = 8.32 J

\mathrm{mol^{-1}\,k^{-1}}

(1)2229 J
(2)5616 J
(3)9360 JOfficial answer
(4)13,104 J

Official answer

Option 3

NTA final key.

Chapter: Kinetic Theory
Topic: Kinetic Theory of Gases
Idea tested: Molecular Speed Types

Same idea in other shifts

Asked 12× in all

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11 Apr 2023, Shift 1 · Q43Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second…EasySingle correct
11 Apr 2023, Shift 2 · Q32The root mean square speed of molecules of nitrogen gas at $27^\circ\mathrm{C}$ is approximately : (Given mass of a nitrogen molecule =…EasySingle correct
12 Apr 2023, Shift 1 · Q39If the r. m. s speed of chlorine molecule is 490 m/s at $27^\circ$ C, the r. m. s speed of argon molecules at the same temperature will be…EasySingle correct
27 Jul 2022, Shift 1 · Q39Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1:4, then A. The…EasyOther
28 Jul 2022, Shift 1 · Q38Given below are two statements : Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.…MediumTwo statements
29 Jul 2022, Shift 2 · Q49The root mean square speed of smoke particles of mass $5\times10^{-17}$ kg in their Brownian motion in air at NTP is approximately. [Given…EasySingle correct
30 Jul 2022, Shift 2 · Q8If the r.m.s speed of oxygen at room temperature is $\sqrt{56}\ \mathrm{m/s}$ . The r.m.s speed of nitrogen at the same temperature is…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.