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Chapter 36: Q47P (page 1112)
A grating has 400 lines/mm. How many orders of the entire visible spectrum (400-700 nm) can it produce in a diffraction experiment, in addition to the order?
There are 3 complete orders on each side of the order.
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A single-slit diffraction experiment is set up with light of wavelength 420 nm, incident perpendicularly on a slit of width 5.10 mm. The viewing screen is 3.20 m distant. On the screen, what is the distance between the center of the diffraction pattern and the second diffraction minimum?
(a) Figure 36-34a shows the lines produced by diffraction gratingsA and B using light of the same wavelength; the lines are of the same order and appear at the same angles . Which grating has the greater number of rulings? (b) Figure 36-34b shows lines of two orders produced by a single diffraction grating using light of two wavelengths, both in the red region of the spectrum. Which lines, the left pair or right pair, are in order with greater m? Is the center of the diffraction pattern located to the left or to the right in(c) Fig. 36-34a andd) Fig. 36-34b?
In two-slit interference, if the slit separation isand the slit widths are each 2.0m, (a) how many two-slit maxima are in the central peak of the diffraction envelope and (b) how many are in either of the first side peak of the diffraction envelope?
A diffraction grating has 200 rulings/mm, and it produces an intensity maximum at .
(a) What are the possible wavelengths of the incident visible light?
(b) To what colors do they correspond?
Floaters. The floaters you see when viewing a bright, featureless background are diffraction patterns of defects in the vitreous humor that fills most of your eye. Sighting through a pinhole sharpens the diffraction pattern. If you also view a small circular dot, you can approximate the defect鈥檚 size. Assume that the defect diffracts light as a circular aperture does. Adjust the dot鈥檚 distance L from your eye (or eye lens) until the dot and the circle of the first minimum in the diffraction pattern appear to have the same size in your view. That is, until they have the same diameter on the retina at distance from the front of the eye, as suggested in Fig. 36-42a, where the angles on the two sides of the eye lens are equal. Assume that the wavelength of visible light is . If the dot has diameter and is distance from the eye and the defect is in front of the retina (Fig. 36-42b), what is the diameter of the defect?
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