Calculate the temperature (in degree celcius) at which the velocity of sound in air is double its velocity at $0^{\circ} C$ .

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Solution

The speed of sound in dry air is given approximately by
$V$ $=$ $331.4 + 0.6 T$
so velocity at $0$ degree $=$ $331.4 + 0$ $=$ $331.4 m / s e c$
so temperature at which velocity is double
$2 * 331.4$ $=$ $331.4 + 0.6 T$
hence $T$ $=$ $552.33 d e g r e e$

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