Question

A source of sound produces 500 compressions and 500 rarefactions in air in 30 s. Find the (a) frequency, and (b) wavelength of sound produced. (Consider speed of sound = 330 m s⁻¹)​

Answer 1

The frequency of the sound produced is 33.33 Hz, and the wavelength is 9.91 m.

Step-by-step explanation:

To find the frequency of the sound produced, we can divide the total number of compressions and rarefactions by the time it takes.

In this case, we have 500 compressions and 500 rarefactions in 30 seconds, which gives us a total of 1000 wave cycles in 30 seconds.

Therefore, the frequency is 1000/30 = 33.33 Hz.

To find the wavelength of the sound, we can use the formula: wavelength = speed of sound / frequency.

Given that the speed of sound is 330 m/s, and the frequency is 33.33 Hz, we can substitute these values into the formula to find the wavelength.

Therefore, the wavelength is 330/33.33 = 9.91 m.