Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 35, Problem 37PQ
To determine
The ratio of maximum intensity to the minimum intensity.
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Coherent electromagnetic radiation is sent through a slit of width 0.0100 mm. For which of the following wavelengths will there be no points in the diffraction pattern where the intensity is zero? (i) Blue light of wavelength 500 nm; (ii) infrared light of wavelength 10.6 mm; (iii) microwaves of wavelength 1.00 mm; (iv) ultraviolet light of wavelength 50.0 nm.
Two interfering light waves have intensities of 20\,W\,m−2 and 40\,W\,m−2, and the phase difference between them at some point P is π/3. The intensity at P, in W m−2−2, including interference is:(give your answer as a decimal to 1 d.p. )
Coherent electromagnetic waves with wavelength λ = 500 nm pass through two identical slits. The width of each slit is a, and the distance between the centers of the slits is d = 9.00 mm. (a) What is the smallest possible width a of the slits if the m = 3 maximum in the interference pattern is not present? (b) What is the next larger value of the slit width for which the m = 3 maximum is absent?
Chapter 35 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 35.1 - Perhaps Newton never observed a diffraction...Ch. 35.1 - Prob. 35.2CECh. 35.2 - Prob. 35.3CECh. 35.3 - Prob. 35.4CECh. 35.4 - When we studied Youngs double-slit experiment, we...Ch. 35.6 - Prob. 35.6CECh. 35 - Light Is a Wave C As shown in Figure P35.1, spray...Ch. 35 - Sound Wave Interference Revisited Draw two...Ch. 35 - Prob. 3PQCh. 35 - You are seated on a couch equidistant between two...
Ch. 35 - Prob. 5PQCh. 35 - Prob. 6PQCh. 35 - A student shines a red laser pointer with a...Ch. 35 - Monochromatic light is incident on a pair of slits...Ch. 35 - Prob. 9PQCh. 35 - In a Youngs double-slit experiment with microwaves...Ch. 35 - A beam from a helium-neon laser with wavelength...Ch. 35 - Prob. 12PQCh. 35 - Prob. 13PQCh. 35 - Prob. 14PQCh. 35 - Light from a sodium vapor lamp ( = 589 nm) forms...Ch. 35 - Prob. 16PQCh. 35 - Prob. 17PQCh. 35 - Prob. 18PQCh. 35 - Prob. 19PQCh. 35 - Prob. 20PQCh. 35 - Prob. 21PQCh. 35 - Prob. 22PQCh. 35 - Prob. 23PQCh. 35 - Figure P35.24 shows the diffraction patterns...Ch. 35 - Prob. 25PQCh. 35 - Prob. 26PQCh. 35 - A thread must have a uniform thickness of 0.525...Ch. 35 - Prob. 28PQCh. 35 - Prob. 29PQCh. 35 - A radio wave of wavelength 21.5 cm passes through...Ch. 35 - Prob. 31PQCh. 35 - Prob. 32PQCh. 35 - A single slit is illuminated by light consisting...Ch. 35 - Prob. 34PQCh. 35 - Prob. 35PQCh. 35 - Prob. 36PQCh. 35 - Prob. 37PQCh. 35 - Prob. 38PQCh. 35 - Prob. 39PQCh. 35 - Prob. 40PQCh. 35 - Prob. 41PQCh. 35 - Prob. 42PQCh. 35 - Prob. 43PQCh. 35 - Prob. 44PQCh. 35 - Prob. 45PQCh. 35 - Prob. 46PQCh. 35 - Prob. 47PQCh. 35 - Prob. 48PQCh. 35 - Figure P35.49 shows the intensity of the...Ch. 35 - Prob. 50PQCh. 35 - Prob. 51PQCh. 35 - Prob. 52PQCh. 35 - Light of wavelength 750.0 nm passes through a...Ch. 35 - Prob. 54PQCh. 35 - Prob. 55PQCh. 35 - Prob. 56PQCh. 35 - Light of wavelength 515 nm is incident on two...Ch. 35 - Light of wavelength 515 nm is incident on two...Ch. 35 - A Two slits are separated by distance d and each...Ch. 35 - Prob. 60PQCh. 35 - Prob. 61PQCh. 35 - If you spray paint through two slits, what pattern...Ch. 35 - Prob. 63PQCh. 35 - Prob. 64PQCh. 35 - Prob. 65PQCh. 35 - Prob. 66PQCh. 35 - Prob. 67PQCh. 35 - Prob. 68PQCh. 35 - Prob. 69PQCh. 35 - Prob. 70PQCh. 35 - Prob. 71PQCh. 35 - Prob. 72PQCh. 35 - Prob. 73PQCh. 35 - Prob. 74PQCh. 35 - Prob. 75PQCh. 35 - Prob. 76PQCh. 35 - Prob. 77PQCh. 35 - Another way to construct a double-slit experiment...Ch. 35 - Prob. 79PQCh. 35 - Prob. 80PQCh. 35 - Table P35.80 presents data gathered by students...Ch. 35 - Prob. 82PQCh. 35 - Prob. 83PQCh. 35 - Prob. 84PQCh. 35 - Prob. 85PQCh. 35 - Prob. 86PQCh. 35 - Prob. 87PQCh. 35 - Prob. 88PQCh. 35 - A One of the slits in a Youngs double-slit...Ch. 35 - Prob. 90PQ
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- Sound exits a diffraction horn loudspeaker through a rectangular opening like a small doorway. Such a loudspeaker is mounted outside on a pole. In winter, when the temperature is 273 K, the diffraction angle θ has a value of 13o. What is the diffraction angle for the same sound on a summer day when the temperature is 311 K?arrow_forwardA 3.04-kHz tone is being produced by a speaker with a diameter of 0.207 m. The air temperature changes from 0 to 28 oC. Assuming air to be an ideal gas, find the change in the diffraction angle θ. The Answer is not 39.91arrow_forwardml (0.0700 nm) 2d 2(0.314 nm) Find the grazing angle corresponding sin e = 0.111 to m = 1, for first-order interference: e = sin-1(0.111) = 6.37° Repeat the calculation for third-order interference (m = 3): mì 3(0.0700 nm) sin e = 2d = 0.334 2(0.314 nm) e = sin(0.334) = 19.5° LEARN MORE REMARKS Notice there is little difference between this kind of problem and a Young's slit experiment. QUESTION If the grazing angle is smaller, the distance between planes in the crystal lattice is: larger. O the same. O smaller. PRACTICE IT Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO,) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0661 nm. 0, = 6.06 82 =| 18.47 EXERCISE HINTS: GETTING STARTED | I'M STUCK! X-rays of wavelength 0.0620 nm are scattered from a crystal with a grazing angle of 11.1°. Assume m = 1 for this process. Calculate the spacing…arrow_forward
- When coherent electromagnetic waves with wavelength λ = 120 µm are incident on a single slit of width a, the width of the central maximum on a tall screen 1.50 m from the slit is 90.0 cm. For the same slit and screen, for what wavelength of the incident waves is the width of the central maximum 180.0 cm, double the value when λ = 120 µm?arrow_forwardTwo interfering light waves have intensities of 20,W,m−2 and 40,W,m−2 , and the phase difference between them at some point P is π/3 . The intensity at P, in W m−2 , including interference is:(give your answer as a decimal to 1.d.p.)arrow_forwardThe coherence length of a wavetrain is the distance over which the phase constant is the same. (a) If an individual atom emits coherent light for 1x10-8 seconds, what is the coherence length of the wavetrain? (b) Suppose a partially reflecting mirror separates this wave train into two parts that are later reunited after one beam travels 5m and the other travels 10m. Do the waves produce interference fringes observable by a human eye?arrow_forward
- Two sources are emitting coherent, monochromatic EM waves with a wavelength of 2 cm in air. Source 1 is embedded in a material with index of refraction n1 = 1.5. The distance between source 1 and the edge of the material is 6 cm. You can assume nair = 1. At the point marked with an X, which is 9 cm from source 2 and 3 cm from the edge of the material that source 1 is embedded inside, what kind of interference will you find between EM waves from the two sources? Group of answer choices Destructive Constructivearrow_forwardCoherent light with wavelength 500 nm passes through narrow slits separated by 0.340 mm. At a distance from the slits large compared to their separation, what is the phase difference (in radians) in the light from the two slits at an angle of 23.0° from the centerline?arrow_forwardTwo separate coherent sources with distance produce identical sound waves of wavelength 2.0 [m] that are in phase. Source 1 is at the (0, 0) and Source 2 is at (6.0 [m], 0). If an observer stands at (6.0 [m], 8.0 [m]) in front of the sources, what will be the path difference and how would the sound waves interfere at that point?arrow_forward
- Two coherent waves, coming from sources at different loca- tions, move along the x axis. Their wave functions are E, = 860 sin 650 924mt + 6. and E, = 860 sin 924mt + 650 where E, and E, are in volts per meter, x, and x, are in nano- meters, and t is in picoseconds. When the two waves are superposed, determine the relationship between x, and x, that produces constructive interference.arrow_forwardTwo slits spaced 0.0720 mm apart are 0.800 m from a screen. Coherent light of wavelength λ passes through the two slits. In their interference pattern on the screen, the distance from the center of the central maximum to the first minimum is 3.00 mm. If the intensity at the peak of the central maximum is 0.0600 W/m2 , what is the intensity at points on the screen that are (a) 2.00 mm and (b) 1.50 mm from the center of the central maximum?arrow_forwardThe coherence length of an ordinary white light source can be increased if we place a color filter in front of the source, so that the light that passes through the filter is somewhat monochromatic. The minimum wavelength of the emerging light is 564 nm. What is the maximum wavelength in order for the coherence length to be 0.09100 mm?arrow_forward
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