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Chapter 35: Q27P (page 1075)
A thin flake of mica (n = 1.58) is used to cover one slit of a double-slit interference arrangement. The central point on the viewing screen is now occupied by what had been the seventh bright side fringe (m = 7). If , what is the thickness of the mica?
The thickness of mica is .
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Reflection by thin layers. In Fig. 35-42, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays and interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35- 2 refers to the indexes of refraction , and , the type of interference, the thin-layer thickness in nanometres, and the wavelength in nanometres of the light as measured in air. Where is missing, give the wavelength that is in the visible range. Where is missing, give the second least thickness or the third least thickness as indicated.
If you move from one bright fringe in a two-slit interference pattern to the next one farther out,
(a) does the path length difference increase or decrease and
(b) by how much does it change, in wavelengths ?
In Fig. 35-38, sourcesand emit long-range radio waves of wavelength , with the phase of the emission from ahead of that from source Bby .The distance from Ato detector Dis greater than the corresponding distance localid="1663043743889" by .What is the phase difference of the waves at D ?
Reflection by thin layers. In Fig. 35-42, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays and interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35- 2 refers to the indexes of refraction , localid="1663139751503" and , the type of interference, the thin-layer thickness in nanometres, and the wavelength in nanometres of the light as measured in air. Where is missing, give the wavelength that is in the visible range. Where is missing, give the second least thickness or the third least thickness as indicated.
Figure 35-22 shows two light rays that are initially exactly in phase and that reflect from several glass surfaces. Neglect the slight slant in the path of the light inthe second arrangement.
(a) What is the path length difference of the rays?
In wavelengths,
(b) what should that path length difference equal if the rays are to be exactly out of phase when they emerge, and
(c) what is the smallest value of that will allow that final phase difference?
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