Question

a musician increases the wavelenght of the sound waves she produces without changing their speed. What must be happening to their frequency of the waves?

Answer 1

the frequency of the waves decrease

Answer 2

The frequency of the waves must decrease when the musician increases the wavelength without changing their speed.

Step-by-step explanation:

Wavelength
`(λ)` is the distance over which the wave's shape repeats, as can be seen in the attached figure:

The speed (v), refers to the rate at which the wave propagates in space.

The frequency (f) is the number of waves that pass a given point in an amount of time. It could be defined mathematically as follows:

`f=(speed)/(wavelength)=(v)/(λ)`

As we can see in the previews equation, the frequency is inversely proportional to the wavelength, thus if we increase the wavelength with a constant speed, we obtain a reduction in the frequency