Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 27, Problem 12CQ
(a)
To determine
Tell about the interference pattern produced by a vertical slit and a hair which width equal to slit.
(b)
To determine
The width of hair using the diffraction pattern.
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Chapter 27 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 27.3 - Which of the following causes the fringes in a...Ch. 27.5 - In a laboratory accident, you spill two liquids...Ch. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.7 - Suppose you are observing a binary star with a...Ch. 27.8 - Ultraviolet light of wavelength 350 nm is incident...Ch. 27 - Consider a wave passing through a single slit....Ch. 27 - Prob. 2OQCh. 27 - Suppose Youngs double-slit experiment is performed...Ch. 27 - Prob. 4OQ
Ch. 27 - Prob. 5OQCh. 27 - Prob. 6OQCh. 27 - A monochromatic beam of light of wavelength 500 nm...Ch. 27 - A film of oil on a puddle in a parking lot shows a...Ch. 27 - Prob. 9OQCh. 27 - A Fraunhofer diffraction pattern is produced on a...Ch. 27 - Prob. 11OQCh. 27 - Prob. 12OQCh. 27 - Why is it advantageous to use a large-diameter...Ch. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Why is the lens on a good-quality camera coated...Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - A laser beam is incident at a shallow angle on a...Ch. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - John William Strutt, Lord Rayleigh (1842–1919),...Ch. 27 - Prob. 1PCh. 27 - Youngs double-slit experiment underlies the...Ch. 27 - Two radio antennas separated by d = 300 m as shown...Ch. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - In Figure P27.7 (not to scale), let L = 1.20 m and...Ch. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Two slits are separated by 0.180 mm. An...Ch. 27 - Prob. 12PCh. 27 - A pair of narrow, parallel slits separated by...Ch. 27 - Coherent light rays of wavelength strike a pair...Ch. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - A riverside warehouse has several small doors...Ch. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Astronomers observe the chromosphere of the Sun...Ch. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - A beam of 580-nm light passes through two closely...Ch. 27 - Prob. 24PCh. 27 - An air wedge is formed between two glass plates...Ch. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - A beam of monochromatic green light is diffracted...Ch. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - White light is spread out into its spectral...Ch. 27 - Prob. 41PCh. 27 - Prob. 42PCh. 27 - Prob. 43PCh. 27 - Prob. 44PCh. 27 - Prob. 45PCh. 27 - Prob. 46PCh. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - Prob. 50PCh. 27 - Prob. 51PCh. 27 - A wide beam of laser light with a wavelength of...Ch. 27 - Prob. 53PCh. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - Prob. 56PCh. 27 - Prob. 57PCh. 27 - Prob. 58PCh. 27 - Prob. 59PCh. 27 - Prob. 60PCh. 27 - Prob. 61PCh. 27 - Prob. 62PCh. 27 - Both sides of a uniform film that has index of...Ch. 27 - Prob. 64PCh. 27 - Light of wavelength 500 nm is incident normally on...Ch. 27 - Prob. 66PCh. 27 - A beam of bright red light of wavelength 654 nm...Ch. 27 - Iridescent peacock feathers are shown in Figure...Ch. 27 - Prob. 69PCh. 27 - Prob. 70PCh. 27 - Figure CQ27.4 shows an unbroken soap film in a...
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- The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?arrow_forwardAs a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.arrow_forwardThe structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?arrow_forward
- If bis Brewster’s angle for light reflected from the top of an interface between two substances, and bis Brewster’s angle for light reflected from below, prove that b+b=90.0arrow_forwardConsider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forwardBabinet's principle says that the diffraction pattern observed when light falls on an aperture of any shape is the same as that obtained when light falls on an object that is the complement of such aperture. A laser with a wavelength of 600 nm is incident on a hair, generating a diffraction pattern with a width of the principal maximum of 10 mm on a screen located 1 m away from the hair. What is the diameter of this wire?arrow_forward
- A beam of light is diffracted by a slit of width 0.55mm. The diffraction pattern is formed on a wall 2m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.1mm. Calculate the wavelength of the laser light. (Diffraction and polarization)arrow_forwardProve that it is not possible to determine both wavelength of incident radiation and spacing of reflecting planes in a crystal by measuring the Bragg angles for several orders.arrow_forwardWhen an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: 1. The angle of incidence has to be equal to the angle of reflection. 2. The difference in the beam's path from a source to an observer for neighboring planes has to be equal to an integer multiple of the wavelength; that is, 2d sin(0) = mx for m = 1, 2, .... The path difference 2d sin(0) can be determined from the diagram (Figure 1). The second condition is known as the Bragg condition. Figure 1 of 1 d sine d sine Review nstants Part A An x-ray beam with wavelength 0.260 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 20.5 °. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. VE ΑΣΦ ? d = nm…arrow_forward
- Information is stored on an audio compact disc, CD-ROM, or DVD disc in a series of pits on the disc. These pits are scanned by a laser beam. An important limitation on the amount of information that can be stored on such a disc is the width of the laser beam. Explain why this should be, and explain how using a shorter-wavelength laser allows more information to be stored on a disc of the same size. With which color of light can the Hubble Space Telescope see finer detail in a distant astronomical object: red, blue, or ultraviolet? Explain your answer.arrow_forwardQuality control systems have been developed to remotely measure the diameter of wires using diffraction. A wire with a stated diameter of 170 μm blocks the beam of a 633 nm laser, producing a diffraction pattern on a screen 50.0 cm distant. The width of the central maximum is measured to be 3.77 mm. The wire should have a diameter within 1% of the stated value.Does this wire pass the test?arrow_forwardFirst-order Bragg scattering from a certain crystal occurs at an angle of incidence of 63.8°; see figure below. The wavelength of the x-rays is 0.261nm. Assuming that the scattering is from the dashed planes shown, find the unit cell size ao. 63.8° X raysarrow_forward
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