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Question
The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is ______.
Options
`sqrt(2/7)`
`sqrt(1/7)`
`sqrt3/5`
`sqrt6/5`
MCQ
Fill in the Blanks
Solution
The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300 K is `underlinebb(sqrt3/5)`.
Explanation:
v = `sqrt("rRT"/"M")`
`"v"_("N2")/"v"_"He"=(sqrt((7/5"RT")/14))/(sqrt((5/3"RT")/4))`
= `sqrt(7/5"R"/28)xxsqrt(3/5 4/"RT")`
= `sqrt3/5`
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The Speed of Travelling Waves
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