Maximizing Diffraction of Water Waves through a Single-Slit Barrier

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Homework Help Overview

The discussion revolves around the diffraction of water waves as they pass through a single-slit barrier in a water tank. The original poster presents a scenario involving adjustments to the depth of water on either side of the slit and seeks to understand how these changes might affect the degree of diffraction.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between water depth and wavelength, with some asserting that deeper water leads to longer wavelengths and increased diffraction. Questions arise regarding the effects of adjusting the depth on only one side of the tank.

Discussion Status

Participants are actively engaging with the problem, questioning the implications of their assumptions and exploring the nature of wave behavior in relation to diffraction. There is a focus on understanding the mechanics of the wave movement and the impact of varying water depths.

Contextual Notes

Some participants express uncertainty about the effects of making only one side of the tank deeper while the other remains unchanged, indicating a need for further clarification on this aspect.

Deathnote777
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Homework Statement


Suppose a water wave is moving from left to right in a water tank. The water tank is divided to two region (left and right) by an one-slit plastic plate. Which of the following(s) adjustment can increase the degree of diffraction of the wave ?

(1) Make the water of the whole tank deeper.
(2) Make the water in the right side deeper only.
(3) Make the water in the left side deeper only.


Homework Equations


Nil


The Attempt at a Solution


I know (1) must be correct as it can increase wavelength. But I am not sure whether (2) and (3) is correct or not, please explain. Thanks
 
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Imagine you're a bit of the water just past the slit. Over time, what are you aware of wrt the movement of the water in the first half of the tank?
 
haruspex said:
Imagine you're a bit of the water just past the slit. Over time, what are you aware of wrt the movement of the water in the first half of the tank?

As far as I know, wavelength in deeper region will be longer. My teacher told me that the degree of diffraction will increase with the wavelength of waves. However, I don't know what will happen when making only 1 side deeper while another side remains unchanged.
 
you are right about the wavelength in deeper water being longer.
 
Deathnote777 said:
As far as I know, wavelength in deeper region will be longer. My teacher told me that the degree of diffraction will increase with the wavelength of waves. However, I don't know what will happen when making only 1 side deeper while another side remains unchanged.
Yes, I understand that. Did you try to answer my question?
 
haruspex said:
Yes, I understand that. Did you try to answer my question?

I don't really understand your question exactly. If I am a bit of the water and am passing through the slit, I will be diffracted, move away from the central line after passing through the slit
 
Deathnote777 said:
I don't really understand your question exactly. If I am a bit of the water and am passing through the slit, I will be diffracted, move away from the central line after passing through the slit
No, you're not passing through the slit, you're sitting on the surface just after the slit. (The wave moves, not the water.). What can you determine about the wave?
 
haruspex said:
No, you're not passing through the slit, you're sitting on the surface just after the slit. (The wave moves, not the water.). What can you determine about the wave?

The wave will diffract
 
No, you're thinking like an external observer able to see the whole thing. I'm asking you to be a microscopic observer only able to see what's going on immediately after the slit. What do you experience? What can you tell about the wave wrt frequency, amplitude and wavelength?
 

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