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Chapter 33: Q. 16 (page 955)
A helium-neon laser illuminates a single slit and is observed on a screenbehind the slit. The distance between the first and second minima in the diffraction pattern is . What is the width of the slit
Width of the slit is.
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A diffraction grating has slit spacing . Fringes are viewed on a screen at distance . Find an expression for the wavelength of light that produces a first-order fringe on the viewing screen at distancefrom the center of the screen.
FIGURE Q33.1 shows light waves passing through two closely spaced, narrow slits. The graph shows the intensity of light on a screen behind the slits. Reproduce these graph axes, including the zero and the tick marks locating the double-slit fringes, then draw a graph to show how the light-intensity pattern will appear if the right slit is blocked, allowing light to go through only the left slit. Explain your reasoning.
The intensity at the central maximum of a double-slit interference pattern is . The intensity at the first minimum is zero. At what fraction of the distance from the central maximum to the first minimum is the intensity ? Assume an ideal double slit.
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
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.
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