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Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780136139225
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Textbook Question
Chapter 35, Problem 20Q
Explain why there are tiny peaks between the main peaks produced by a diffraction grating illuminated with monochromatic light. Why are the peaks so tiny?
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Chapter 35 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 35.1 - Single-slit diffraction maximum. Light of...Ch. 35.4 - Green light (550 nm) passes through a...Ch. 35.5 - What is the resolving power of a microscope with a...Ch. 35.10 - Prob. 1DECh. 35.11 - CONCEPTUAL EXAMPLE 3514 Three Polaroids. We saw in...Ch. 35 - Radio waves and light are both electromagnetic...Ch. 35 - Hold one hand close to your eye and focus on a...Ch. 35 - Explain why diffraction patterns are more...Ch. 35 - For diffraction by a single slit, what is the...Ch. 35 - Describe the single-slit diffraction pattern...
Ch. 35 - What happens to the diffraction pattern of a...Ch. 35 - In the single-slit diffraction pattern, why does...Ch. 35 - Discuss the similarities, and differences, of...Ch. 35 - Figure 3510 shows a two-slit interference pattern...Ch. 35 - When both diffraction and interference are taken...Ch. 35 - Does diffraction limit the resolution of images...Ch. 35 - Give at least two advantages for the use of large...Ch. 35 - Atoms have diameters of about 108 cm. Can visible...Ch. 35 - Which color of visible light would give the best...Ch. 35 - Could a diffraction grating just as well be called...Ch. 35 - Suppose light consisting of wavelengths between...Ch. 35 - What is the difference in the interference...Ch. 35 - White light strikes (a) a diffraction grating and...Ch. 35 - Explain why there are tiny peaks between the main...Ch. 35 - What does polarization tell us about the nature of...Ch. 35 - How can you tell if a pair of sunglasses is...Ch. 35 - Prob. 23QCh. 35 - (I) If 680-nm light falls on a slit 0.0365 mm...Ch. 35 - (I) Monochromatic light falls on a slit that is...Ch. 35 - (II) Light of wavelength 580 nm falls on a slit...Ch. 35 - (II) Consider microwaves which are incident...Ch. 35 - (II) If parallel light falls on a single slit of...Ch. 35 - (II) Monochromatic light of wavelength 633 nm...Ch. 35 - (II) If a slit diffracts 580-nm light so that the...Ch. 35 - (II) (a) For a given wavelength , what is the...Ch. 35 - (II) When blue light of wavelength 440 nm falls on...Ch. 35 - (II) A single slit 1.0 mm wide is illuminated by...Ch. 35 - (II) Coherent light from a laser diode is emitted...Ch. 35 - (II) If you double the width of a single slit, the...Ch. 35 - (II) Light of wavelength 750 nm passes through a...Ch. 35 - (II) If a double-slit pattern contains exactly...Ch. 35 - (II) Design a double-slit apparatus so that the...Ch. 35 - (II) 605-nm light passes through a pair of slits...Ch. 35 - (II) Two 0.010-mm-wide slits are 0.030mm apart...Ch. 35 - (II) Suppose d = D in a double-slit apparatus, so...Ch. 35 - (II) In a double-slit experiment, let d = 5.00D =...Ch. 35 - (II) How many fringes are contained in the central...Ch. 35 - (I) What is the angular resolution limit (degrees)...Ch. 35 - (II) Two stars 16 light-years away are barely...Ch. 35 - (II) The nearest neighboring star to the Sun is...Ch. 35 - (II) If you shine a flashlight beam toward the...Ch. 35 - (II) Suppose that you wish to construct a...Ch. 35 - (II) The normal lens on a 35-mm camera has a focal...Ch. 35 - (I) At what angle will 480-nm light produce a...Ch. 35 - (I) A source produces first-order lines when...Ch. 35 - (I) A 3500-line/cm grating produces a third-order...Ch. 35 - (I) A grating has 6800 lines/cm. How many spectral...Ch. 35 - (II) How many lines per centimeter does a grating...Ch. 35 - (II) Red laser light from a He-Ne laser ( = 632.8...Ch. 35 - (II) White light containing wavelengths from 410...Ch. 35 - (II) A diffraction grating has 6.0 l05 lines/m....Ch. 35 - (II) A tungstenhalogen bulb emits a continuous...Ch. 35 - (II) Show that the second- and third-order spectra...Ch. 35 - (II) Two first-order spectrum lines are measured...Ch. 35 - (II) Suppose the angles measured in Problem 40...Ch. 35 - (II) The first-order line of 589-nm light falling...Ch. 35 - Prob. 43PCh. 35 - (II) Missing orders occur for a diffraction...Ch. 35 - (II) A 6500-line/cm diffraction grating is 3.18 cm...Ch. 35 - (II) A diffraction grating has 16,000 rulings in...Ch. 35 - (II) Let 580-nm light be incident normally on a...Ch. 35 - Prob. 49PCh. 35 - (II) First-order Bragg diffraction is observed at...Ch. 35 - Prob. 51PCh. 35 - (I) Two polarizers are oriented at 65 to one...Ch. 35 - (I) Two Polaroids are aligned so that the light...Ch. 35 - (I) What is Brewsters angle for an airglass (n =...Ch. 35 - (I) What is Brewsters angle for a diamond...Ch. 35 - (II) The critical angle for total internal...Ch. 35 - (II) At what angle should the axes of two...Ch. 35 - (II) Two polarizers are oriented at 36.0 to one...Ch. 35 - (II) What would Brewsters angle be for reflections...Ch. 35 - (II) Unpolarized light passes through six...Ch. 35 - (II) Two polarizers A and B are aligned so that...Ch. 35 - (III) The percent polarization P of a partially...Ch. 35 - When violet light of wavelength 415 nm falls on a...Ch. 35 - A series of polarizers are each placed at a 10...Ch. 35 - The wings of a certain beetle have a series of...Ch. 35 - A teacher stands well back from an outside doorway...Ch. 35 - Light is incident on a diffraction grating with...Ch. 35 - How many lines per centimeter must a grating have...Ch. 35 - When yellow sodium light, = 589 nm, falls on a...Ch. 35 - Prob. 70GPCh. 35 - (a) How far away can a human eye distinguish two...Ch. 35 - A laser beam passes through a slit of width 1.0 cm...Ch. 35 - Prob. 73GPCh. 35 - At what angle above the horizon is the Sun when...Ch. 35 - Unpolarized light tails on two polarizer sheets...Ch. 35 - Al what angle should the axes of two Polaroids be...Ch. 35 - Four polarizers are placed in succession with...Ch. 35 - Spy planes fly at extremely high altitudes (25 km)...Ch. 35 - Two polarizers are oriented at 48 to each other...Ch. 35 - Prob. 81GPCh. 35 - The Hubble Space Telescope with an objective...Ch. 35 - The Earth and Moon are separated by about 400 106...Ch. 35 - A slit of width D = 22 m is cut through a thin...
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- A monochromatic light of unknown wavelength is incident on a slit of width 20 m. A diffraction pattern is seen at a screen 2.5 m away where the central maximum is spread over a distance of 10.0 cm. Find the wavelength.arrow_forwardIn Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?arrow_forwardA Fraunhofer diffraction pattern is produced on a screen located 1.00 m from a single slit. If a light source of wavelength 5.00 107 m is used and the distance from the center of the central bright fringe to the first dark fringe is 5.00 103 m, what is the slit width? (a) 0.010 0 mm (b) 0.100 mm (c) 0.200 mm (d) 1.00 mm (e) 0.005 00 mmarrow_forward
- Red light (wavelength 632.8 nm in air) from a Helium-Neon laser is incident on a single slit of width 0.05 mm. The entire apparatus is immersed in water of refractive index 1.333. Determine the angular width of the central peak.arrow_forwardWhen a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?arrow_forwardConsider a wave passing through a single slit. What happens to the width of the central maximum of its diffraction pattern as the slit is made half as wide? (a) It becomes one-fourth as wide. (b) It becomes one-half as wide. (c) Its width does not change. (d) It becomes twice as wide. (e) It becomes four times as wide.arrow_forward
- Why is it much more difficult to see interference fringes for light reflected from a thick piece of glass than from a thin film? Would it be easier if monochromatic light were used?arrow_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_forwardMonochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is 2.50 m away from the slits. a. If the distance between the central bright fringe and either of the adjacent bright fringes is 1.67 cm, find the wavelength of the incident light. b. At what angle does the next set of bright fringes appear?arrow_forward
- At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0°?arrow_forwardA single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.arrow_forwardWhy is the following situation impossible? A piece of transparent material having an index of refraction n = 1.50 is cut into the shape of a wedge as shown in Figure P36.40. Both the top and bottom surfaces of the wedge are in contact with air. Monochromatic light of wavelength = 632.8 nm is normally incident from above, and the wedge is viewed from above. Let h = 1.00 mm represent the height of the wedge and = 0.500 m its length. A thin-film interference pattern appears in the wedge due to reflection from the top and bottom surfaces. You have been given the task of counting the number of bright fringes that appear in the entire length of the wedge. You find this task tedious, and your concentration is broken by a noisy distraction after accurately counting 5 000 bright fringes. Figure P36.40arrow_forward
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