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Calculate the difference in the speeds o...

Calculate the difference in the speeds of sound in air at `- 3^(@) c`,`60 cm` pressure of mercury and `30^(@) c`, `75 cm` pressure of mercury. The speed of sound in air at `0^(@)C` is `332 m//s`.

Text Solution

Verified by Experts

The correct Answer is:
A
`nu prop sqrt(T)`
`:. nu_(2) = (sqrt(T_(2)/(T_(1))))nu_(1)`
`nu_(-3^(@)C) = (sqrt(270)/(273))(332)`
`= 330.17 m//s`
`nu_(3^(@)C) = (sqrt((270 + 30)/(273 )))(332)`
`= 349.77 m//s`
The difference in these two speed is approximately `19.6 m//s`.
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