λ=v/f
λ=wavelength; v=speed; f=frequency
λ=20cm (convert to m) 0.2m; v=10m/s; f=?
v/λ=f
10/0.2=f; f=50Hz
Explanation:
It is known that rleation between wave speed, wavelength and frequency is as follows.
[tex]\nu = f \times \lambda[/tex]
where, [tex]\nu[/tex] = wave speed
f = frequency
[tex]\lambda[/tex] = wavelength
Therefore, putting the given values into the above formula and calculate the frequency as follows.
[tex]\nu = f \times \lambda[/tex]
[tex]10 m/s = f \times 0.2 m[/tex] (as 1 cm = 0.01 m)
f = 50 per second
Thus, we can conclude that frequency of given wave is 50 per second.
