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Coherent red light is incident on a mask with four narrow slits a distance d apa

ID: 1633231 • Letter: C

Question

Coherent red light is incident on a mask with four narrow slits a distance d apart. a. What is the smallest value of Delta s_adj that would correspond to a minimum for this case? b. Which integer multiples of this value of Delta s_adj would correspond to other minima? Which would not? c. Which values of Delta s_adj would correspond to principal maxima? d. How many minima would there be between adjacent principal maxima? Generalize your results from the 2-slit and 3-slit cases (in tutorial), and the 4-slit case (question 3 above) to determine the smallest value of Delta s_adj that would correspond to a minimum for the case of N identical, evenly-spaced slits. Which integer multiplies of this value of Delta s_adj would correspond to other minima? Which would not? How many minima would there be between adjacent principal maxima?

Explanation / Answer

3a. sadj = /4
3b sadj = m /4 except m=0,4,8.....
3c sadj = m as before m= 0,1,.......
3d. 3 minima


4a. sadj = /N
4b. sadj = m. /N except m=0,N,2N ...
4c. N-1 Minima