JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyConceptual

JEE Main 25 June 2022, Shift 1, Physics Q37

Question 37 of 90 in this shift, Physics question 7 of 30, Section A.

The relation between root mean square speed (

v_{rms}

) and most probable speed (

v_p

) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :

(1) $v_{rms}=\sqrt{\frac{2}{3}}\,v_p$
(2) $v_{rms}=\sqrt{3/2}\,v_p$ Official answer
(3) $v_{rms}=v_p$
(4) $v_{rms}=\sqrt{1/3}\,v_p$

Official answer

Option 2

NTA final key.

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

Same idea in other shifts

Asked 8× in all

6 Apr 2024, Shift 1 · Q37A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample, is :EasySingle correct
1 Feb 2024, Shift 2 · Q39If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root mean square velocity of…EasySingle correct
13 Apr 2023, Shift 1 · Q39The rms speed of oxygen molecule in a vessel at particular temperature is $\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v$ , where $v$ is the…MediumSingle correct
28 Jun 2022, Shift 2 · Q39What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates…MediumSingle correct
4 Aug 2021, Shift 1 · Q26The ratio of average speed to the rms speed of oxygen molecule is $\sqrt{\frac{8}{x\pi}}$ . The value of ‘x’ is ________ .EasyNumerical value
27 Aug 2021, Shift 2 · Q8If the rms speed of oxygen molecules at $0^\circ\mathrm{C}$ is 160 m/s, find the rms speed of hydrogen molecules at $0^\circ\mathrm{C}$ .EasySingle correct
18 Mar 2021, Shift 2 · Q1Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the average velocity of…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.