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Chapter 33: Q. 15 (page 955)
In a single-slit experiment, the slit width is times the wavelength of the light. What is the width of the central maximum on a screen behind the slit
Width of the central maximum is.
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FIGURE shows the light intensity on a screen behind an aperture. The aperture is illuminated with light of wavelength .
a. Is the aperture a single slit or a double slit? Explain.
b. If the aperture is a single slit, what is its width? If it is a double slit, what is the spacing between the slits?
Infrared light of wavelength illuminates a diameter hole. What is the angle of the first dark fringe in radians? In degrees?
A laser beam with a wavelength of illuminates two -wide slits separated by . The interference pattern is observed on a screen behind the slits. What is the light intensity, as a fraction of the maximum intensity , at a point halfway between the center and the first minimum?
FIGURE shows light of wavelength incident at angle on a reflection grating of spacing . We want to find the angles um at which constructive interference occurs.
a. The figure shows paths and along which two waves travel and interfere. Find an expression for the path-length difference .3
b. Using your result from part a, find an equation (analogous to Equation localid="1650299740348" for the angles localid="1650299747450" at which diffraction occurs when the light is incident at angle localid="1650299754268" . Notice that m can be a negative integer in your expression, indicating that path localid="1650299766020" is shorter than path localid="1650299773517" .
c. Show that the zeroth-order diffraction is simply a 鈥渞eflection.鈥� That is, localid="1650299781268"
d. Light of wavelength 500 nm is incident at localid="1650299787850" on a reflection grating having localid="1650299794954" reflection lines/mm. Find all angles localid="1650299802944" at which light is diffracted. Negative values of localid="1650299812949"
are interpreted as an angle left of the vertical.
e. Draw a picture showing a single localid="1650299823499" light ray incident at localid="1650299833529" and showing all the diffracted waves at the correct angles.
shows the interference pattern on a screen behind an diffraction grating. What is the wavelength (in ) of the light?
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