The wave propagates in an elastic medium at a speed of 100 m / s. The smallest distance between points

The wave propagates in an elastic medium at a speed of 100 m / s. The smallest distance between points of the medium, the phases of which are opposite, is 1.0 m. Determine the vibration frequency.

The smallest distance between the points at which the phases of the wave oscillations coincide is equal to the wavelength λ.

The distance between the points at which the phases are opposite is equal to half the wavelength:

λ / 2 = 1 m.

λ = 2 m.

Wave velocity V:

V = λν, where ν is the vibration frequency.

ν = V / λ = (100 m / s) / (2 m) = 50 s ^ (- 1) = 50 Hz.

Answer: 50 Hz.