Final answer:
When the frequency of a wave increases and the speed of the wave remains constant, the distance between successive crests decreases.
Step-by-step explanation:
When the frequency of a wave increases and the speed of the wave remains constant, the distance between successive crests decreases.
In other words, as the frequency of a wave increases, the number of waves passing through a particular point in one second increases. Since the speed of the wave remains the same, the time taken for each wave to pass the point decreases. Therefore, the distance between successive crests decreases.
For example, if you have a wave with a frequency of 10 Hz and the speed of the wave is 5 m/s, the distance between successive crests would be 0.5 m. But if the frequency increases to 20 Hz while the speed remains the same, the distance between successive crests would become 0.25 m, which is half the original distance.