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Chapter 33: Q. 25 (page 956)
A -diameter hole is illuminated by light of wavelength . What is the width (in mm) of the central maximum on a screen behind the slit?
The Width of the cental screen is
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FIGURE P33.56 shows the light intensity on a screen behind a circular aperture. The wavelength of the light is and the screen is behind the slit. What is the diameter (in mm) of the aperture?
Find an expression for the positions of the first-order fringes of a diffraction grating if the line spacing is large enough for the small-angle approximation to be valid. Your expression should be in terms of and.
. Use your expression from part a to find an expression for the separationon the screen of two fringes that differ in wavelength by.
Rather than a viewing screen, modern spectrometers use detectors-similar to the one in your digital camera-that are divided into pixels. Consider a spectrometer with a grating and a detector with located behind the grating. The resolution of a spectrometer is the smallest wavelength separation that can be measured reliably. What is the resolution of this spectrometer for wavelengths near localid="1649156925210" , in the center of the visible spectrum? You can assume that the fringe due to one specific wavelength is narrow enough to illuminate only one column of pixels.
A Michelson interferometer operating at a wavelength has a -long glass cell in one arm. To begin, the air is pumped out of the cell and mirror is adjusted to produce a bright spot at the center of the interference pattern. Then a valve is opened and air is slowly admitted into the cell. The index of refraction of air at pressure is . How many brightdark-bright fringe shifts are observed as the cell fills with air?
A student performing a double-slit experiment is using a green laser with a wavelength of . She is confused when the maximum does not appear. She had predicted that this bright fringe would be from the central maximum on a screen behind the slits.
a. Explain what prevented the fifth maximum from being observed.
b. What is the width of her slits?
FIGURE P33.49 shows the interference pattern on a screen behind a diffraction grating. The wavelength of the light is . How many lines per millimeter does the grating have?
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