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6) Consider the interference pattern produced by two parallel slits of width "a" and separation "d", in which d = 3a. The screen is 1m away from the slits and the slits are 1mm apart from each other. The slits are illuminated by normally incident light of wavelength 632nm. (a) (b) (c) First we ignore diffraction effects due to the slit width. Find the positions of the first 4 interference maxima on either side of the central interference maximum on the screen. Now let's include the effects of diffraction. Using the width of the individual slits, find the width of the central diffraction maximum. Finally, draw a diagram of intensity vs. position on the screen including both interference and diffraction effects. {Hint: You will use information from parts (a) and (b) for this but your intensity peaks will be qualitative ie. their relative heights should be meaningful but you do not have a way to find their numerical values.}

6) Consider the interference pattern produced by two parallel slits of width "a" and separation "d", in which d = 3a. The screen is 1m away from the slits and the slits are 1mm apart from each other. The slits are illuminated by normally incident light of wavelength 632nm. (a) (b) (c) First we ignore diffraction effects due to the slit width. Find the positions of the first 4 interference maxima on either side of the central interference maximum on the screen. Now let's include the effects of diffraction. Using the width of the individual slits, find the width of the central diffraction maximum. Finally, draw a diagram of intensity vs. position on the screen including both interference and diffraction effects. {Hint: You will use information from parts (a) and (b) for this but your intensity peaks will be qualitative ie. their relative heights should be meaningful but you do not have a way to find their numerical values.}

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6) Consider the interference pattern produced by two parallel slits of width “a” and separation “d”, where d = 3a. The screen is 1m away from the slits, and the slits are 1mm apart from each other. The slits are illuminated by normally incident light of wavelength 632nm. (a) First we ignore diffraction effects due to the slit width. Find the positions of the first 4 interference maxima on either side of the central interference maximum on the screen. (b) Now let’s include the effects of diffraction. Using the width of the individual slits, find the width of the central diffraction maximum. (c) Finally, draw a diagram of intensity vs. position on the screen including both interference and diffraction effects. {Hint: You will use information from parts (a) and (b) for this but your intensity peaks will be qualitative, i.e., their relative heights should be meaningful but you do not have a way to find their numerical values.}
Transcribed Image Text:6) Consider the interference pattern produced by two parallel slits of width “a” and separation “d”, where d = 3a. The screen is 1m away from the slits, and the slits are 1mm apart from each other. The slits are illuminated by normally incident light of wavelength 632nm. (a) First we ignore diffraction effects due to the slit width. Find the positions of the first 4 interference maxima on either side of the central interference maximum on the screen. (b) Now let’s include the effects of diffraction. Using the width of the individual slits, find the width of the central diffraction maximum. (c) Finally, draw a diagram of intensity vs. position on the screen including both interference and diffraction effects. {Hint: You will use information from parts (a) and (b) for this but your intensity peaks will be qualitative, i.e., their relative heights should be meaningful but you do not have a way to find their numerical values.}
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