1.

The ratio of most probable velocity to that of average velocity isA. `pi//2`B. `sqrt(pi)//2`C. `2//sqrt(pi)`D. `2//pi`

Answer» Correct Answer - B
According to the kinetic molecular theory of gases , we have
`u_(mp) : u_(aV) = sqrt((2 RT)/(M)) : sqrt((8 RT)/(pi M))`
` = (sqrt(2))/(sqrt(8//pi))`
` = (sqrt(2pi))/(sqrt(8)) = (sqrt(2 pi))/(sqrt(4.2))`
`= (sqrt(2 pi))/(2 sqrt(2)) = (sqrt(pi))/(2)`


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