R.M.S. velocity of oxygen molecules at N.T.P. is 0.5 Km/s. The R.M.S. velocity of he hydrogen molecule at N.T.P. is

Options

A. 4 km/s
B. 2km/s
C. 3 km/s
D. 1 km/s

Explanation

RMS velocity of molecules at NTP
`v_(ms) = sqrt((3RT)/(M))`
RMS velocity of oxygen molecules at NTP
`(v_(1)) = sqrt((3RT)/(M_(1)) = 0.5 km//s`
RMS velocity of hydrogen molecules at NTP
`(v_(2)) = sqrt((3RT)/(M_(2))`
`therefore " " (v_(1))/(v_(2)) = sqrt((M_(2))/(M_(1))`
`rArr " " (0.5)/(v_(2)) = sqrt((2)/(32))`
`rArr " " (0.5)/(v_(2)) = (1)/(4)`
`rArr = v_(2) = 2km//s`