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Chapter 36: Q70P (page 1113)
In Fig. 36-47, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelengthmakes an angle with the top face of the crystal. What is the unit cell size?
The unit cell distance is .
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Nuclear-pumped x-ray lasers are seen as a possible weapon to destroy ICBM booster rockets at ranges up to 2000 km. One limitation on such a device is the spreading of the beam due to diffraction, with resulting dilution of beam intensity. Consider such a laser operating at a wavelength of 1.40 nm. The element that emits light is the end of a wire with diameter 0.200 mm. (a) Calculate the diameter of the central beam at a target 2000 km away from the beam source. (b) What is the ratio of the beam intensity at the target to that at the end of the wire? (The laser is fired from space, so neglect any atmospheric absorption.)
In three arrangements, you view two closely spaced small objects that are the same large distance from you. The angles that the objects occupy in your field of view and their distances from you are the following: (1) and ; (2) and ; (3) and . (a) Rank the arrangements according to the separation between the objects, with the greatest separation first. If you can just barely resolve the two objects in arrangement 2, can you resolve them in (b) arrangement 1 and (c) arrangement 3?
In the single-slit diffraction experiment of ,let the wavelength of the light be , the slit width be localid="1664272054434" , and the viewing screen be at distance localid="1664272062951" . Let y axis extend upward along the viewing screen, with its origin at the center of the diffraction pattern. Also let represent the intensity of the diffracted light at point P at . (a) What is the ratio of to the intensity at the center of the pattern? (b) Determine where point P is in the diffraction pattern by giving the maximum and minimum between which it lies, or the two minima between which it lies.
The pupil of a person鈥檚 eye has a diameter of 5.00 mm. According to Rayleigh鈥檚 criterion, what distance apart must two small objects be if their images are just barely resolved when they are 250 mm from the eye? Assume they are illuminated with light of wavelength 500 nm
(a) How many bright fringes appear between the first diffraction-envelope minima to either side of the central maximum in a double-slit pattern if , , and ? (b) What is the ratio of the intensity of the third bright fringe to the intensity of the central fringe?
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