1.

In a mixture of gases, the average number of degrees of freedom per molecule is 6. the rms speed of the molecules of the gas is C. the velocity of sound in the gas isA. CB. `(2C)/(3)`C. `(3C)/(4)`D. `(2C)/(sqrt(3))`

Answer» Correct Answer - B
`upsilon_(rms) = sqrt((3RT)/(M)) and upsilon_(sound) = sqrt((gamma RT)/(M))`
`:. (upsilon_(sound))/(upsilon_(rms)) = sqrt((gamma)/(3))`
As, `gamma = 1+2/n= 1+ 2/6 = 4/3`
`:. upsilon_(sound) = upsilon_(rms)sqrt((gamma)/(3)) = Csqrt((4//3)/(3)) = (2C)/(3)`.


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