If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average, and the root mean square speeds, respectively, is
← JEE Advanced 2020 · Paper 1
ChemistrySingle correct+3 / -1Question 19 of 54
JEE Advanced 2020 · Paper 1, Chemistry question 1

Answer and worked solution
Official answer: B
The plotted distribution is symmetric about its peak.
Most probable vs average. For a symmetric distribution the mean lies at the peak, so .
rms speed. Since is the variance, which is positive, .
Only has this pattern. ( is the ratio for the skewed Maxwell distribution, not the one drawn.)
(B)
Topics:Kinetic theory of gases