Chapter 5: Q7DQ (page 1151)
When a room has mirrors on two opposite walls, an infinite series of reflections can be seen. Discuss this phenomenon in terms of images. Why do the distant images appear fainter?
Distant images appear fainter because each image acts as an object for the other mirror and so on.
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If you look up from underneath toward the surface of the water in your aquarium, you may see an upside-down reflection of your pet fish in the surface of the water. Explain how this can happen.
A very thin soap film (n = 1.33), whose thickness is much less than a wavelength of visible light, looks black; it appears to reflect no light at all. Why? By contrast, an equally thin layer of soapy water (n = 1.33) on glass (n = 1.50) appears quite shiny. Why is there a difference?
Light of wavelength and frequency v passes through a single slit of width a. The diffraction pattern is observed on a screen a distance x from the slit. Which of the following will decrease the width of the central maximum? (a) Decrease the slit width; (b) decrease the frequency v of the light; (c) decrease the wavelength of the light; (d) decrease the distance of the screen from the slit. In each case justify your answer.
34.14 For a convex spherical mirror that has focal length , what is the distance of an object from the mirror’s vertex if the height of the image is half the height of the object?
Explain, using phasor diagrams, why each statement is true. (a) A minimum occurs whenever ϕ is an integral multiple of 2π/N, except when ϕ is an integral multiple of 2π (which gives a principal maximum). (b) There are (N-1) minima between each pair of principal maxima.
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