The ratio among most probable velocity, mean velocity and root mean velocity is given by

Options

A. `sqrt2:sqrt(8//pi):sqrt3`
B. `sqrt2:sqrt3:sqrt(8//pi)`
C. `1:2:3`
D. `1:sqrt2:sqrt3`

Answer

A

Explanation

Most probable velocity`=sqrt((2RT)/M)`
Average velocity=`sqrt((8RT)/(piM))`
Root mean square velocity = `sqrt((3RT)/M)`
`therefore` Most probable velocity : Average velocity : Root mean square velocity
`=sqrt((2RT)/M):sqrt((8RT)/(piM)):sqrt((3RT)/M)=sqrt2:sqrt(8/pi):sqrt3`