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

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.

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

                                         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.