1.

The velocity of sound air N.T.P. is 331 ms-1. Find its velocity when the temperature rises to 91ºC and its pressure is doubled.

Answer»

Here, v0 = 331 ms-1

Rise in temperature, t = 91ºC

Since velocity of sound is not affected by the change in pressure, therefore we have to see the effect of temperature alone.

As v1 = \(v_0\sqrt{\frac{273+t}{273}}= 331\sqrt{\frac{273+91}{273}}\)

= 331\(\sqrt{1+\frac{91}{273}}\) = 331\(\sqrt{1+\frac{1}{3}}\)

= 331 × \(\frac{2}{\sqrt 3}\) = 382.2 ms-1



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