Explanation:
The relation between the frequency and the wavelength of a wave is given by :
[tex]v=f\times \lambda[/tex]
[tex]f=\dfrac{v}{\lambda}[/tex]..............(1)
Where
f is the frequency
[tex]\lambda[/tex] is the wavelength of the wave
v is the speed of the wave
We know that the distance between successive crests is called the wavelength of the wave.
It is clear from equation (1) that if the frequency of a wave increases, its wavelength decreases. If the speed of the wave remains constant, on increasing the frequency, the distance between successive crests i.e. wavelength decreases.