Coherent red light is incident on a mask with four narrow slits a distance d apa
ID: 2077217 • 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 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 multiples 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? The diagram at right illustrates the pattern that appears on a distant screen when coherent red light is incident on a mask with two identical, very narrow slits. The two slits are separated a by a distance d.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