A gaseous mixture contains 4 molecules with a velocity of 6 cm `sec^(-1)`,5 molecules with a velocity of 2 cm `sec^(-1)` and 10 molecules with a velocity of 3 cm `sec^(-1)`. What is the rms speed of the gas:

Options

A. 2.5 cm `sec^(-1)`
B. 1.9 cm `sec^(-1)`
C. 3.6 cm `sec^(-1)`
D. 4.6 cm `sec^(-1)`

Answer

c

Explanation

(c) `U_("ms")=sqrt((4xx(6)^(2)+5(2)^(2)+10(3)^(2))/(19)`
`=3.6cm//sec.`