Water waves travelling from deep to shallow water

[Barclay]

Homework Statement

What happens to the wavelength, frequency and amplitude of the water wave when it travels from deep to shallow water at an oblique angle to the normal?

Homework Equations

The Attempt at a Solution

The wavelength will decrease.

The frequency will be unchanged because the source producing the waves (ocean) will be the same.

The amplitude will increase (because there is less resistance of the wave because there is less water).

Speed will also decrease because speed = wavelength x frequency because wavelength is proportional tp speed if frequency is constant

 

[Bystander]

(because there is less resistance of the wave because there is less water).

I would take exception to this statement/assertion; other than that, looks good.

 

[Barclay]

I would take exception to this statement/assertion; other than that, looks good.

Thanks.

So I just want to get it in my head as a picture: As the deep water waves enter the shallow water the waves will appear larger in height (greater amplitude) but will travel more slowly but you will see many more peaks and troughs in a given distance (because the wavelength is smaller).

Here is where I'm confused. How can the frequency of the deep water wave be the same as the shallow water wave if I'm seeing more peaks and troughs because of the smaller wavelength. Maybe its that the waves will just be moving slowly but I will see lots of them?? I think I'm right but can someone just reinforce what I'm saying (if I'm correct) in a different way so I can lock the picture in my head. Thanks

 

[Bystander]

Yes, they WILL be moving MORE slowly.

 

[Barclay]

Thanks