Question

As ocean waves approach shore, their velocity decreases. How does a decrease in velocity affect the frequency and wavelength of the waves
entering the shallow water?
A
frequency increases and wavelength decreases
B. frequency decreases and wavelength increases
C. frequency stays the same and wavelength increases
D.
frequency stays the same and wavelength decreases

Answer 1

As ocean waves approach shore, their velocity decreases, the frequency stays the same and the wavelength decreases.

Explanation:

The velocity, wavelength, and frequency are related by the following mathematical equation:

 Velocity = wavelength × frequency

$v=\lambda \times f$  

When the waves reach the shore with reduced velocity, the frequency of the waves can be kept constant, only by reducing the wavelength. A direct relationship is established between velocity and wavelength.  

Therefore, reduction in the velocity leads to a proportional reduction in the wavelength of the wave, keeping the frequency the same.  

Thus, option (D) is the correct answer.

Answer 2

Answer:

D .Frequency stays the same and wavelength decreases .

Explanation:

Due to friction between shore and waves ,  the velocity of waves decreases while reaching the shores . As v = fλ, either frequency or wavelength should decrease. As frequency is the property of the source , it will stay constant and wavelength only decreases .