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Chapter 27: Q15PE (page 997)
What is the smallest separation between two slits that will produce a second-order maximum for red light?
The smallest separation between two slits that produces a second-order maximum is obtained as .
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(a) What visible wavelength has its fourth-order maximum at an angle ofwhen projected on a 25,000 -line-per-centimeter diffraction grating? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Show that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than
(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?
A He–Ne laser beam is reflected from the surface of a CD onto a wall. The brightest spot is the reflected beam at an angle equal to the angle of incidence. However, fringes are also observed. If the wall is 1.50 m from the CD, and the first fringe is 0.600 m from the central maximum, what is the spacing of grooves on the CD?
(a) What is the minimum width of a single slit (in multiples of λ ) that will produce the first minimum for a wavelength λ ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?
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