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Chapter 5: Q5DQ (page 1180)
Would the headlights of a distant car form a two-source interference pattern? If so, how might it be observed? If not, why not?
No, the headlight of a distant car would not form a two-source interference pattern as the light from the headlights is not coherent.
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The Hubble Space Telescope has an aperture of 2.4 m and focuses visible light (380鈥�750 nm). The Arecibo radio telescope in Puerto Rico is 305 m (1000 ft) in diameter (it is built in a mountain valley) and focuses radio waves of wavelength 75 cm. (a) Under optimal viewing conditions, what is the smallest crater that each of these telescopes could resolve on our moon? (b) If the Hubble Space Telescope were to be converted to surveillance use, what is the highest orbit above the surface of the earth it could have and still be able to resolve the license plate (not the letters, just the plate) of a car on the ground? Assume optimal viewing conditions, so that the resolution is diffraction limited.
Two speakers, emitting identical sound waves of wavelength 2.0 m in phase with each other, and an observer are located as shown in Fig. E35.5. (a) At the observer鈥檚 location, what is the path difference for waves from the two speakers? (b) Will the sound waves interfere constructively or destructively at the observer鈥檚 location鈥攐r something in between constructive and destructive? (c) Suppose the observer now increases her distance from the closest speaker to 17.0 m, staying directly in front of the same speaker as initially. Answer the questions of parts (a) and (b) for this new situation.
A spherical mirror is cut in half horizontally. Will an image be formed by the bottom half of the mirror? If so, where will the image be formed?
A lens forms an image of an object. The object is 16.0 cm from the lens. The image is 12.0 cm from the lens on the same side as the object.
(a) What is the focal length of the lens? Is the lens converging or diverging?
(b) If the object is 8.50 mm tall, how tall is the image? Is it erect or inverted?
(c) Draw a principal-ray diagram.
What is the thinnest soap film (excluding the case of zero thickness) that appears black when illuminated with light with wavelength 480 nm? The index of refraction of the film is 1.33, and there is air on both sides of the film.
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