Question

A stone is thrown in a pond. 10 full ripples are produced in 1 second. If the distance between a crest and a trough is 10 cm, calculate the wavelength and velocity of the wave.

Answer 1

The wavelength of a wave is the distance between two consecutive crests or troughs. Here, the distance between a crest and next trough is half of the wavelength.
Therefore, wavelength, $\lambda =2\times 10=20cm=0.2m$
Frequency is the number of oscillations per unit time.
So, $f=10Hz$
Now, velocity of the wave, $v=f\times \lambda =10\times 0.2=2m/s$