Single and Double Slit Diffraction and Interference

AI Thread Summary
The discussion revolves around understanding single and double slit diffraction and interference, specifically focusing on equations related to these phenomena. Key questions include determining which order of the two-slit interference pattern minimizes uncertainty in slit spacing and analyzing the effects of changes in slit width and spacing on interference and diffraction angles. Participants seek guidance on how to approach these problems using the provided equations. The need for clarification on the calculations and concepts involved is emphasized. Overall, the thread highlights the complexities of diffraction and interference in physics.
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I have no idea where to start with these questions. I am pretty sure I have to use these equations
1. theta = tan^-1(x/D)
2. wsintheta = nlambda
3. dsintheta = nlambda

Which order m of in the two-slit interference pattern will give the least uncertainty in the slit spacing, d?
a) m = 1 b) m = 2 c) m = 3 d) largest m available e) smallest m available

For a two-slit interference pattern, if the width of each slit is made 20% smaller, what is the change in
the angle of the first interference maximum?
a) 40% decrease b) 20% increase c) 40% increase d) 20% decrease e) no change

For an illuminated pair of slits, if the spacing between the slits is made 20% smaller, what is the change
in the angle of the first diffraction minimum?
a) 40% decrease b) 20% increase c) 40% increase d) 20% decrease e) no change

Can anyone explain how I would do these?
Thanks!
 
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