What Happens to Double Slit Diffraction in a Ripple Tank?

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SUMMARY

The discussion centers on the principles of diffraction in a ripple tank involving two narrow slits. Key statements regarding the effects of frequency and slit distance on the angles of diffraction fringes were evaluated. The correct answers to the true or false statements were determined to be TFTT and FFTT, with the equation dsin(theta) = velocity / frequency being referenced for calculations. However, it was noted that phase velocity is not addressed by this equation, indicating a need for further clarification on the topic.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with diffraction principles
  • Knowledge of the equation dsin(theta) = velocity / frequency
  • Basic concepts of phase velocity
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  • Study the relationship between frequency and wavelength in wave mechanics
  • Learn about phase velocity and its implications in wave phenomena
  • Explore advanced diffraction patterns in multiple slit experiments
  • Investigate the effects of varying slit separation on diffraction angles
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  1. Consider diffraction in a ripple tank from two narrow slits. Answer true (T) or false (F) for each of the following statements. E.g., if the first statement is true and the rest false, enter TFFF. You have 6 tries.
    1. If the frequency of the wave source is halved, then the angle between the zeroth and first order fringes is doubled.
    2. If the frequency of the source and the space between the slits are both halved, then the angle between the zeroth and first order fringes stays the same.
    3. If the frequency of the wave source is doubled, then the phase speed of the waves doubles.
    4. If the distance between the slits is doubled, then the angle between the zeroth and first order fringes is doubled.
The attempt at a solution

TFTT
FFTT
 
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How did you get those answers?
 
mfb said:
How did you get those answers?
I used the equation dsin(theta) = velocity / frequency
 
As some of your answers are incorrect, a description for every answer could be useful.

The phase velocity is not covered by that equation.
 

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