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Chapter 35: Q17P (page 1075)
In Fig. 35-37, two radio frequency point sources and , separated by distance , are radiating in phase with . A detector moves in a large circular path around the two sources in a plane containing them. How many maxima does it detect?
The total number of the maxima is 16.
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In Fig. 35-35, two light rays go through different paths by reflecting from the various flat surfaces shown.The light waves have a wavelength of 420.0 nm and are initially in phase. What are the (a) smallest and (b) second smallest value of distance L that will put the waves exactly out of phase as they emerge from the region?
In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits. (a)What is the angular separation in radians between the central maximum and an adjacent maximum? (b) What is the distance between these maxima on a screen 50 cm from the slits?
A thin film of acetone coats a thick glass plateWhite light is incident normal to the film. In the reflections, fully destructive interference occurs at and fully constructive interference at. Calculate the thickness of the acetone film.
In a double-slit experiment, the fourth-order maximum for a wavelength of 450 nm occurs at an angle of . (a) What range of wavelengths in the visible range (400 nm to 700 nm) are not present in the third-order maxima? To eliminate all visible light in the fourth-order maximum, (b) should the slit separation be increased or decreased and (c) what least change is needed?
Transmission through thin layers. In Fig. 35-43, 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.) Part of the light ends up in material 3 as ray (the light does not reflect inside material 2) and (the light reflects twice inside material 2). The waves of andinterfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refractionandthe type of interference, the thin-layer thicknessin nanometers, and the wavelengthin nanometers of the light as measured in air. Whereis missing, give the wavelength that is in the visible range. Whereis missing, give the second least thickness or the third least thickness as indicated.
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