Chapter 12, Problem 11TE

If the speed of sound depended on frequency, how would distant music sound?

Solution

To determine:

The distant music sound when speed of sound dependand on frequency.

Answer:

The distant music sound can be heard by lowering the value of frequency.

Explanation:

Sound needs time to move from one location to another. The speed of sound dependent on the wind conditions, temperature, as well as humidity, but it is independent of loudness or the sound's frequency.

But, if the speed of sound dependant on frequency, then we know that sound travels in the form of waves.

Write the expression for the speed of the sound.

$v=f\times \lambda$

Here,

f is frequency

$\lambda$ is the wavelength or distance between source and listener

By lowering the value of frequency, the speed of sound increases, which can be listened up to a much larger distance.

Conclusion:

Therefore, the distant music sound can be heard by lowering the value of frequency.