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The velocity of sound in a gas is 300 m/...

The velocity of sound in a gas is 300 m/s . The root mean square velocity of the molecules is (`gamma = 1.4`)

A

471.4 m/s

B

400 m/s

C

231 m/s

D

462 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
`C_(rms) = v sqrt((3)/(gamma)) = 330 sqrt((3)/(1.4)) = 330 sqrt((30)/(14)) = 471.4 m//s`
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