Answer:
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
[tex]f=\frac{\sqrt{\frac{T}{m/L}}}{2L}[/tex] 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.
