Question

If the distribution of molecular speeds of 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:

• A. $1:1.128:1$
• B. $1:1.128:1.224$
• C. $1:1:1$
• D. $1:1:1.224$

Answer 1

The correct option is D $1:1:1.224$

The graph represents symmetrical distribution of speed and hence, the most probable and the average speed should be same. But the root mean square speed must be greater than the average speed. Hence, the correct option is $1:1:1.224$.