Question

A wave with a frequency of 1.1 Hz travels through deep water at a speed of 5.7 m/s. When the wave enters shallow water, its speed slows to 3.2 m/s. What is the wavelength of the wave in the shallow water?

Answer 1

The wavelength of the wave in shallow water is 2.91 m.

Step-by-step explanation:

Given;

frequency of the wave, f = 1.1 Hz

speed of the wave in deep water, v₁ = 5.7 m/s

speed of the wave in shallow water, v₂ = 3.2 m/s

The wavelength of the wave in the deep water is calculated as;

λ₁ = v₁/f

λ₁ = 5.7 / 1.1

λ₁ = 5.18 m

The wavelength of the wave in the shallow water is calculated as;

λ₂ = v₂/f

λ₂ = 3.2 / 1.1

λ₂ = 2.91 m

Therefore, the wavelength of the wave in shallow water is 2.91 m.