1.

The velocity of sound in air at 20 °C and 1 atm pressure is 344.2 m/s. At 40 °C and 2 atm pressure, the velocity of sound in air is approximately

Answer»

250 m/s
356 m/s
363 m/s
370 m/s

Solution :VELOCITY of sound in air, `v= sqrt((gammaRT)/M)`
For a given medium, `v PROP sqrt(T)`
`v_(1)/v_(2) = sqrt(T_(1)/T_(2))`
Here, `v_(1) = 344.2 ms^(-1), T_(1) = 20^(@) C = 293 K`
`T_(2)= 40^(@) C = 313 K`
`therefore v_(2) =v_(1) sqrt(T_(2)/T_(1)) = (344.2) xx sqrt(313/293) = 355.75 = 356 ms^(-1)`


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