The ratio of most proble velocity to that of average velocity is

Options

A. `(pi)/(2)`
B. `(2)/(pi)`
C. `(sqrtpi)/(2)`
D. `(2)/(sqrtpi)`

Answer

C

Explanation

Most probable velocity
`alpha = sqrt((2RT)/(M))`
Average velocity,
`bar(v) = sqrt((8RT)/(pi M))`
`:. (alpha)/(bar(v)) = sqrt((pi)/(4)) = (sqrtpi)/(2)`