Question

How does the sonic velocity in air at stp condition change with altitude in the standard atmosphere in meters per sec?

Answer 1

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Answer 2

Concept introduction:

The distance a sound wave covers in one unit of time when travelling through an elastic medium is referred to as the speed of sound. At $20$ °C ($68$ °F), the speed of sound in air is approximately $343 m/s$, or $2.9 s$ for a kilometer and $4.7 s$ for a mile. The medium through which a sound wave travels as well as temperature have a significant impact. Approximately $331 m/s$ is the speed of sound at $0$°C ($32$°F).

Explanation:

Given that, sonic velocity in air at STP condition change with altitude in the standard atmosphere in meters per sec.

We have to find, how does sonic velocity in air changes with altitude.

According to the question,

As the altitude increases temperature decreases and hence the sound travel slower although with altitude density of also decreases which is supposed to increase speed of sound but effect of temperature is more than the density.

Final Answer:

As the altitude increases temperature decreases and hence the sound travel slower and sonic velocity decreases.

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