Question
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
Chemistry
States of Matter
2020
JEE Advanced 2020 (Paper 1)
JEE Advanced Chemistry Question (2020) — Solution
Options
- A. 1   :   1   :   1
- B. 1   :   1   :   1 . 224
- C. 1   :   1 . 128   :   1 . 224
- D. 1   :   1 . 128   :   1
Answer
B. 1   :   1   :   1 . 224
Step-by-step solution
Due to symmetrical graph given, the average value of velocities will be at the middle, symmetrical velocity which is also most probable velocity. While calculating rms speed, we have to take average of square of speeds and its root. In square of speeds, higher speeds will give more contribution so the value will be more than the average value.
Related: Chemistry — States of Matter · All PYQ Banks