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Chapter 35: Q93P (page 1079)
If the distance between the first and tenth minima of a double-slit pattern is 18.0 mm and the slits are separated by 0.150 mm with the screen 50.0 cm from the slits, what is the wavelength of the light used?
Thus, the wavelength of light is .
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In two experiments, light is to be sent along the two paths shown in Fig. 35-35 by reflecting it from the various flat surfaces shown. In the first experiment, rays and are initially in phase and have a wavelength of . In the second experiment, rays and are initially in phase and have a wavelength of . What least value of distance is required such that the waves emerge from the region exactly in phase but the waves emerge exactly out of phase?
Figure 35-25 shows two sources s1 and s2 that emit radio waves of wavelengthin all directions. The sources are exactly in phase and are separated by a distance equal to 1.5 . The vertical broken line is the perpendicular bisector of the distance between the sources.
(a) If we start at the indicated start point and travel along path 1, does the interference produce a maximum all along the path, a minimum all along the path, or alternating maxima and minima? Repeat for
(b) path 2 (along an axis through the sources) and
(c) path 3 (along a perpendicular to that axis).
In Fig. 35-4, assume that the two light waves, of wavelength in air, are initially out of phase by rad. The indexes of refraction of the media are and . What are the (a) smallest and (b) second smallest value of that will put the waves exactly in phase once they pass through the two media?
A thin film of liquid is held in a horizontal circular ring, with air on both sides of the film. A beam of light at wavelength 550 nm is directed perpendicularly onto the film, and the intensity I of its reflection is monitored. Figure 35-47 gives intensity I as a function of time the horizontal scale is set by . The intensity changes because of evaporation from the two sides of the film. Assume that the film is flat and has parallel sides, a radius of , and an index of refraction of 1.40. Also assume that the film’s volume decreases at a constant rate. Find that rate.
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 λ 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.
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