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← JEE Advanced 2020 · Paper 1
ChemistrySingle correct+3 / -1Question 19 of 54

JEE Advanced 2020 · Paper 1, Chemistry question 1

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

Fraction of molecules (y-axis) against speed (x-axis) on a grid: a symmetric bell-shaped curve peaking at the middle of the speed range and falling to zero on both sides.
Choose one option
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 vmp=vˉv_{mp}=\bar v.

rms speed. Since v2‾−vˉ2\overline{v^2}-\bar v^2 is the variance, which is positive, vrms>vˉv_{rms}>\bar v.

Only 1:1:1.2241:1:1.224 has this pattern. (1:1.128:1.2241:1.128:1.224 is the ratio for the skewed Maxwell distribution, not the one drawn.)

(B)