a source is producing 15 waves in 3.0. s the distance between a crest and a trough is 10.0 find the frequency the wave length and the velocity of the wave

Frequency=5 Hz

Wavelength=0.2 m

Velocity=1 m/s

Explanation:

The given distance between crest and trough is 10.0cm, its units were not mentioned in the question.

Frequency=number of cycles per second.

Here, we have 15 wave cycles in 3 seconds hence for every second, frequency is

F=15/3=5 cyclea per second=5 Hz

Wavelength is the distance between two successive crests or troughs. Here, we're given the diatance between crest and trough to mean it is just halfway the full wavelength

0.5w=10cm

w=10/0.5=20cm

Converted to meters, we divide the above by 100 hence wavelength is 20/100=0.2m

Velocity of wave is product of wavelength and frequency

V=wf

V=0.2*5=1 m/s