Answer:
The relationship between the frequency of a wave and the wavelength is an inverse relationship, therefore, if the wavelength of a wave increases and the velocity of the wave stays the same, the frequency of the wave decreases.
An example is the ocean wave, if the distance between successive wave crests, which is the wavelength, 'λ', of the wave, increases, while the velocity, 'v', of the wave coming to shore remains the same, the number of wave crest arriving at the beach in a given period of time, which is the frequency of the wave, 'f', decreases according to the following equation;
f = v/λ
Explanation:
The frequency and wavelength have inverse relationship. With increase in wavelength there has been a decrease in frequency when speed has been kept constant.
Wavelength has been defined as the distance traveled by the wave in a unit time, while frequency has been defined as the rate of the repetition of the wave in unit time.
The relationship between the wavelength and frequency has been given by;
Wavelength = [tex]\rm \dfrac{speed}{frequency}[/tex]
Since the speed has been constant, there has been an inverse relationship between the frequency and wavelength. Thereby with increase in wavelength there has been a decrease in frequency and vice versa.
For more information about wavelength and frequency, refer to the link;
https://brainly.com/question/8037854
