ch35 - CHAPTER Interference and Diffraction 35 1 When...

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CHAPTER 35 Interference and Diffraction 1* · When destructive interference occurs, what happens to the energy in the light waves? The energy is distributed nonuniformly in space; in some regions the energy is below average (destructive interference), in others it is higher than average (constructive interference). 2 · Which of the following pairs of light sources are coherent: ( a ) two candles; ( b ) one point source and its image in a plane mirror; ( c ) two pinholes uniformly illuminated by the same point source; ( d ) two headlights of a car; ( e ) two images of a point source due to reflection from the front and back surfaces of a soap film. ( b ), ( c ), and ( e ) 3 · ( a ) What minimum path difference is needed to introduce a phase shift of 180 ° in light of wavelength 600 nm? ( b ) What phase shift will that path difference introduce in light of wavelength 800 nm? ( a ), ( b ) Use Equ. 35-1 ( a ) 300 nm ( b ) d = 135 o 4 · Light of wavelength 500 nm is incident normally on a film of water 10 –4 cm thick. The index of refraction of water is 1.33. ( a ) What is the wavelength of the light in the water? ( b ) How many wavelengths are contained in the distance 2 t , where t is the thickness of the film? ( c ) What is the phase difference between the wave reflected from the top of the air–water interface and the one reflected from the bottom of the water–air interface after it has traveled this distance? ( a ) ? n = ? / n ( b ) N = 2 t / ? n ( c ) d = p + 2 N p ? n = 376 nm N = 5.32 d = 6.32 p rad = 0.32 p rad 5* ·· Two coherent microwave sources that produce waves of wavelength 1.5 cm are in the xy plane, one on the

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