I just want to ask what formulas prove that slit width and slit separation will make the intensity of the waves changed when it passes through the double slit.

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Use the simulation at https://phet.colorado.edu/sims/html/wave-interference/latest/wave-interference_en.html and click the “Slits” window.

Play with the simulation to see what you can adjust and how it works. When you’ve figured out how everything works, select the “Light Generator” (rather than water or sound). Choose “Two Slits” and click the “Screen” and “Intensity” boxes. Once you have a clearly-visible interference pattern showing on your screen,

Please answer questions 1 and 3. You don't need to do the simulation and show the observation. I just gave the introduction to these questions to give the background to the question. I just want to ask what formulas prove that slit width and slit separation will make the intensity of the waves changed when it passes through the double slit. 

1. Adjust the “Slit Separation” and describe—in detail—what you observe when you make the slit separation bigger and smaller.

2. Now use the formula we derived in the lecture to explain why your observations in #1 make sense.

3. Adjust the “Slit Width” and describe—in detail—what you observe when you make the slit width bigger and smaller.

4. Now use the formula we derived in the lecture to explain why your observations in #1 make sense.

 

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