?Suppose that the two waves in Fig. 35-4 have wavelength \(\lambda=500 \mathrm{nm}\) in

Chapter 35, Problem 11

(choose chapter or problem)

Suppose that the two waves in Fig. 35-4 have wavelength \(\lambda=500 \mathrm{nm}\) in air. What multiple of \(\lambda\) gives their phase difference when they emerge if (a) \(n_{1}=1.50\), \(n_{2}=1.60\), and \(L=8.50 \mu \mathrm{m}\); (b) \(n_{1}=1.62\), \(n_{2}=1.72\), and \(L=8.50 \mu \mathrm{m}\); and (c) \(n_{1}=1.59\), \(n_{2}=1.79\), and \(L=3.25 \mu \mathrm{m}\)? (d) Suppose that in each of these three situations the waves arrive at a common point (with the same amplitude) after emerging. Rank the situations according to the brightness the waves produce at the common point.

                                                    

Text Transcription:

lambda=500 mathrm nm

lambda

n_1 =1.50

n_2 =1.60

L=8.50 mu mathrm m

n_1 =1.62

n_2 =1.72

L=8.50 mu mathrm m

n_1 =1.59

n_2 =1.79

L=3.25 mu mathrm m