The root mean square velocity of the gas molecule is 300 m/s. what will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?

Options

A. 300 m/s
B. 150 m/s
C. 600 m/s
D. 75 m/s

Answer

B

Explanation

`(C_(2))/(C_(1))=sqrt((T_(2))/(T_(1))xx(M_(1))/(M_(2)))=sqrt((2T)/(T)xx(M)/(2M))`
`C_(2)=C_(1)=300`
`C_(2)=300m//s`.