Question

which of the following is the best explanation for the relationship between the string length and wave frequency?​

Answer 1

As the string length gets shorter, wavelength decreases. The shorter a wave is the higher the wave frequency because more waves can pass in a given amount of time.

Step-by-step explanation:

The relation between the wavelength and frequency is given by the formula

λ = 1 / f meter

Where 'λ' is the wavelength and 'f' is the frequency associated with it.

The relation between frequency and length of the string is given by the formula

`f=\frac{\sqrt{(T)/(m/L)}}{2L}` Hz

Where

T - string tension

m - mass of the string

L - length of the string

Hence, from the above equations, it is evident that when the string length gets shorter, wavelength decreases. The shorter a wave is the higher the wave frequency because more waves can pass in a given amount of time.