Question:

Mean velocity, most probable velocity and root mean square velocity of gas molecules are approximately in the ratio:

Show Hint

Recall vmp : vavg : vrms = 1 : 1.128 : 1.225, then reorder to match the question.
Updated On: Jul 3, 2026
  • 1.13 : 1 : 1.23
  • 1.23 : 1 : 1.13
  • 1.23 : 1.13 : 1
  • 1 : 1.13 : 1.23
Show Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

Step 1: vp=sqrt(2RT/M)=1.414, vavg=sqrt(8RT/piM)=1.596, vrms=sqrt(3RT/M)=1.732 (in units of sqrt(RT/M)).
Step 2: Dividing by vp: 1:1.128:1.225.
Step 3: Question order is mean:most probable:rms = 1.128:1:1.225 ≈ 1.13:1:1.23.
\[\boxed{1.13 : 1 : 1.23}\]
Was this answer helpful?
0
0