Two flasks `A` and `B` have equal volumes. The molecules in flask `A` are moving two times faster than the molecules in flask `B`. The number of molecules in flask `A` is eight times the number of molecules in flask `B`. Which of the following is true about the number of collisions with the walls?

Options

A. The number of collisions with the walls in flask `A` is four times that in flasks `B`.
B. The number of collisions with the walls in flask `B` ia four times that in flask `A`.
C. The number of collisions with the walls in flask `A` is `16 times` that in flask `B`.
D. The number of collisions with the walls in flask `B` is `16 times` that in flask `A`.

Explanation

Number of collisions with the walls means number collisions per square cm per sec, i.e.,
`X=(1)/(4)NoverlineC`
` :. X_(A) prop N_(A)overlineC_(A)`, `X_(B) prop N_(B)overlineC_(B)`
`(X_(A))/(X_(B))=(N_(A)overlineC_(A))/(N_(B)C_(B))=8xx2=16`