Light consisting of two wavelengths, 2, = 4.4 x 107 meter and 2, = 5.5 x 107 meter, is incident normally on a barrier with two slits separated by a distance d. The intensity distribution is measured along a plane that is a distance L = 0.85 meter from the slits as shown above. The movable detector contains a photoelectric cell whose position y is measured from the central maximum. The first-order maximum for the longer wavelength ^, occurs at y = 1.2 x 10 ² meter. a) Determine the slit separation d. b) At what position, y,, does the first-order maximum occur for the shorter wavelength ^ ? c) In a lab setting, students replace the double slit with a diffraction grating of 300 lines/mm and place the viewing screen 0.50 m away. They replace the source of light with a laser of unknown wavelength. Using the photoelectric detector, they determine the second-order maximum occurs at y = 4.5 x 10² m. Calculate the wavelength of the laser used.

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Chapter1: Units, Trigonometry. And Vectors
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Photoelectric
Detector
Light
· 55 –
Plane of
Measurements
-L-
Light consisting of two wavelengths, dg = 4.4 x 107 meter and ^, = 5.5 x 107 meter, is incident normally on a barrier with two slits
separated by a distance d. The intensity distribution is measured along a plane that is a distance L = 0.85 meter from the slits as shown
above. The movable detector contains a photoelectric cell whose position y is measured from the central maximum. The first-order
maximum for the longer wavelength A, occurs at y = 1.2 x 10² meter.
a) Determine the slit separation d.
b) At what position, y,, does the first-order maximum occur for the shorter wavelength ^ ?
c) In a lab setting, students replace the double slit with a diffraction grating of 300 lines/mm and place the viewing screen 0.50
m away. They replace the source of light with a laser of unknown wavelength. Using the photoelectric detector, they
determine the second-order maximum occurs at y = 4.5 x 10² m. Calculate the wavelength of the laser used.
Transcribed Image Text:Photoelectric Detector Light · 55 – Plane of Measurements -L- Light consisting of two wavelengths, dg = 4.4 x 107 meter and ^, = 5.5 x 107 meter, is incident normally on a barrier with two slits separated by a distance d. The intensity distribution is measured along a plane that is a distance L = 0.85 meter from the slits as shown above. The movable detector contains a photoelectric cell whose position y is measured from the central maximum. The first-order maximum for the longer wavelength A, occurs at y = 1.2 x 10² meter. a) Determine the slit separation d. b) At what position, y,, does the first-order maximum occur for the shorter wavelength ^ ? c) In a lab setting, students replace the double slit with a diffraction grating of 300 lines/mm and place the viewing screen 0.50 m away. They replace the source of light with a laser of unknown wavelength. Using the photoelectric detector, they determine the second-order maximum occurs at y = 4.5 x 10² m. Calculate the wavelength of the laser used.
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