Question

Four molecule of a gas are having speeds of `1, 4, 8 and `16 ms^(-1)`. The root mean square velocity of the gas molecules is
A. `7.25 m/s`
B. `52.56 m/s`
C. `84.2m/s`
D. `9.2 m/s`

Answer 1

Correct Answer - D
`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)`.