Final answer:
The frequency of the wave is 20 hertz (Hz), which means 20 cycles occur every second. This is calculated by dividing the number of wavelengths, 100, by the time in seconds, 5.
Step-by-step explanation:
The question is asking us to calculate the frequency of a wave, given that 100 wavelengths pass a given point every 5 seconds. Frequency is defined as the number of cycles per second. To find the frequency, we would divide the number of wavelengths by the time period over which they are observed, in this case, 5 seconds.
To find the frequency, we use the formula:
Frequency (f) = Number of wavelengths (N) / Time (t)
Plugging in the given values:
f = 100 wavelengths / 5 seconds = 20 Hz
Therefore, the frequency of the wave is 20 hertz (Hz), meaning that 20 cycles happen every second.