Four molecules of a gas are having speeds of `1, 4, 8` and `16 ms^(-1)`. The root mean square velocity of the gas molecules is

Options

A. `7.25 m//s`
B. `52.56 m//s`
C. `84.2m//s`
D. `9.2 m//s`

Answer

D

Explanation

`C = sqrt((1^(2)+4^(2)+8^(2)+16^(2))/(4))ms^(-1)`
`=sqrt((1+16+64+256)/(4))ms^(-1)`
`=sqrt(84.25) ms^(-1)=9.2 ms^(-1)`.