The speed of water waves decreases as the water becomes shallower. Suppose waves travel across the surface of a lake with a speed of 20 m/s and a wavelength of 15 m. When these waves move into a shallower part of the lake, their speed decreases to l6 m/s, though their frequency remains the same. Find the wavelength of the waves in the shallower water.

Pader6u

Pader6u

Open question

2022-08-17

The speed of water waves decreases as the water becomes shallower. Suppose waves travel across the surface of a lake with a speed of 20 m/s and a wavelength of 15 m. When these waves move into a shallower part of the lake, their speed decreases to l6 m/s, though their frequency remains the same. Find the wavelength of the waves in the shallower water.

Answer & Explanation

afinat4s

afinat4s

Beginner2022-08-18Added 13 answers

At surface of lake : speed of wave, v_{1}=(2.0)m/sWavelength, λ 1 = ( 1.5 ) m
At shallower part of lake: speed of wave, v 2 = ( 1.6 ) m / s
Wavelength, λ 2 =?
Frequency of waves remain the same.
So, as v = λ ν and ν is constant:
v 1 λ 1 = v 2 λ 2 λ 2 = λ 1 ( v 2 v 1 ) = [ ( 1.5 ) ( 1.6 2.6 ) ] m
λ 2 = ( 1.2 ) m

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?