Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 35, Problem 34P
(II) How many lines per centimeter does a grating have if the third order occurs at a 15.0° angle for 650-nm light?
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(iii) For quarter-wave film thickness, show that for normal incidence,
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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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- Show that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than 30.0°.arrow_forwardCheck Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m=122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?arrow_forwardOn a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.arrow_forward
- What is the wavelength of light falling on double slits separated by 2.00 m if the third-order maximum is at an angle of 60.0° ?arrow_forwardShow that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than 30.0°.arrow_forwardCalculate the wavelength of light that produces its first minimum at an angle of 36.9° when falling on a single slit of width 1.00 m.arrow_forward
- Calculate the wavelength of light that has its second-order maximum at 45.0° when falling on a diffraction grating that has 5000 lines per centimeter.arrow_forwardA film of oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the oil can be and appear dark at all visible wavelengths? Oil has an index of refraction of 1.40.arrow_forwardA single slit of width 0.10 mm is illuminated by a mercury lamp of wavelength 576 nm. Find the intensity at a 10° angle to the axis in terms of the intensity of the central maximum.arrow_forward
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