11. Coherent light of wavelength 528 nm (1 nm = 10-9 m) is sent through two parallel slits in an opaque material and projected onto a screen 4.00 m away. Each slit has width D = 1.70 µm (1 um = 10-6 m). Their centers are d = 10.7 um apart. As seen in the class demo and in the figure below, a double-slit interference pattern appears within a single slit diffraction pattern.

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11. Coherent light of wavelength 528 nm (1 nm = 10-9 m) is sent through two parallel slits in an
opaque material and projected onto a screen 4.00 m away. Each slit has width D = 1.70 µm (1
um = 10–6 m). Their centers are d = 10.7 µm apart. As seen in the class demo and in the figure
below, a double-slit interference pattern appears within a single slit diffraction pattern.
a) What are the locations of the first two double-slit maxima to the right of the central maximum?
Hint: use the slit spacing d for double slit interference.
b) What are the locations of the first two minima to the right in the single slit diffraction pattern?
Hint: use the width D of each slit for single slit diffraction.
c) How many double slit interference maxima fit into the central diffraction maximum (i.e., how
many double slit maxima are there between the dark bands on either side of the central
diffraction pattern)?
Transcribed Image Text:11. Coherent light of wavelength 528 nm (1 nm = 10-9 m) is sent through two parallel slits in an opaque material and projected onto a screen 4.00 m away. Each slit has width D = 1.70 µm (1 um = 10–6 m). Their centers are d = 10.7 µm apart. As seen in the class demo and in the figure below, a double-slit interference pattern appears within a single slit diffraction pattern. a) What are the locations of the first two double-slit maxima to the right of the central maximum? Hint: use the slit spacing d for double slit interference. b) What are the locations of the first two minima to the right in the single slit diffraction pattern? Hint: use the width D of each slit for single slit diffraction. c) How many double slit interference maxima fit into the central diffraction maximum (i.e., how many double slit maxima are there between the dark bands on either side of the central diffraction pattern)?
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