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The speed of sound through a gaseous med...

The speed of sound through a gaseous medium bears a constant ratio with the rms speed of its molecules. This constant ratio is

A

`gamma`

B

`sqrt((2 gamma)/(3))`

C

`gamma -1`

D

`sqrt((gamma)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(rms) = sqrt((3P)/(R )) and V_(s) = sqrt((gammaP)/(R ))`
`:. (V_(s))/(V_(rms s)), = sqrt((gamma)/(3))`
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