The separation between two consecutive crests in a transverse wave is 100 m. If wave velocity is 20 m s^-1, find the frequency of wave.

Given,

wavelength (λ) = 100 m

wave velocity (V)= 20 m s^-1

Frequency (f) = ?

As we know,

Wave velocity (V) = Frequency (f) x Wavelength (λ)

Substituting the values, we get,

$20 = f \times 100 \\[0.5em] \Rightarrow f = \dfrac{20}{100} \\[0.5em] f = 0.2 \text{ Hz}$

Hence, f = 0.2 Hz