Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 27, Problem 12P
To determine
The reason for the impossibility of given situation.
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Why is the following situation impossible? Two narrow slits are separated by 8.00 mm in a piece of metal. A beam of microwaves strikes the metal perpendicularly, passes through the two slits, and then proceeds toward a wall some distance away. You know that the wavelength of the radiationis 1.00 cm ±5%, but you wish to measure it more precisely. Moving a microwave detector along the wall to study the interference pattern, you measure the position of the m = 1 bright fringe, which leads to a successful measurement of the wavelength of the radiation.
Interference is observed between two electromagnetic waves with intensities I1, I2. There is a small tilt angle between the waves so that bright and dark interference fringes are observed across the detector. It is observed that at the bright fringes (constructive interference) the intensity is 450Wm^-2 and at the dark fringes (destructive interference) the intensity is 50 Wm^-2. Solve for I1 and I2. The larger of I1 and I2 is: and The smaller of I1 and I2 is:
The central bright fringe in a single-slit diffraction pattern has a width that equals the distance between the screen and the slit. Find the ratio λ / W of the wavelength λ of the light to the width W of the slit.
Chapter 27 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
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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- Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.arrow_forwardAn interference experiment is performed with monochromatic (one color) laser light. The separation between the slits is 0.600 mm, and the screen is located 7.44 m from the slits. The first bright fringe is located 4.64 mm from the center of the interference pattern. What is the wavelength of the laser light (in nm)?arrow_forwardAn optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on a detector/ screen that is 1.20 m from the slits. If the slits are illuminated with 633 nm light, how far apart should the slits be? 48.4 μm 74.0 μm 49.5 μm 36.0 μm 8.28 nm A horizontally polarized beam of light of intensity 100 W/m2 passes through a polarizer with its transmission axis at 40.0° with the vertical. What is the transmitted intensity of this beam of light? 0 W/m2 50 W/m2 64.3 W/m2 58.7 W/m2 41.3 W/m2 Correct answers are underlined can you help explain?arrow_forward
- A sheet of metal has a large number of slits, each 5.0 mm wide and 20 cm apart. It is used as a diffraction grating for microwaves, producing bangs on a bulkhead. A broad parallel microwave beam is incident normally on the sheet. Considering c = 3.00 × 10⁸ m/s, answer the following two questions about this situation: (A) If the microwave wavelength is 6.0 cm, what is the greatest angle measured from the central maximum for which an intensity maximum occurs? 88⁰ 69° 64° 60⁰ 82° 74°arrow_forwardCoherent 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.arrow_forwardIn a double slit experiment, what is the path difference between two waves that create the third bright band (m=3) from the central bright band? 0.5λ λ 1.5λ 2λ 3λarrow_forward
- The width of a slit is 2.3 x 10-5 m. Light with a wavelength of 470 nm passes through this slit and falls on a screen that is located 0.64 m away. In the diffraction pattern, find the width of the bright fringe that is next to the central bright fringe. Number i Single slit Units Bright fringe Bright fringe Second dark fringe First dark fringe Central bright fringe First dark fringe Second dark fringe Screenarrow_forwardAt the metal fabrication company where you work, you are asked to measure the diameter D of a very small circular hole in a thin, vertical metal plate. To do so, you pass coherent monochromatic light with wavelength 562 nm through the hole and observe the diffraction pattern on a screen that is a distance x from the hole. You measure the radius r of the first dark ring in the diffraction pattern. You make the measurements for four values of x. Your results are given in the table. (a) Use each set of measurements to calculate D. Because the measurements contain some error, calculate the average of the four values of D and take that to be your reported result. (b) For x = 1.00 m, what are the radii of the second and third dark rings in the diffraction pattern?arrow_forwardCoherent 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?arrow_forward
- Two identical sources A and B emit in-phase plane radio waves with frequency 7.84E4 Hz and intensity 1.78E2 W/m2. A detector placed at location P closer to source B than source A detects a destructive interference. What is the intensity of the wave detected by the detector (in W/m2)?arrow_forwardTwo identical sources A and B emit in-phase plane radio waves with frequency 6.87E4 Hz and intensity 1.41E2 W/m2. A detector placed at location P closer to source B than source A detects a constructive interference. What is the intensity of the wave detected by the detector (in W/m2)?arrow_forwardProblem 1: Two out-of-phase radio antennas at ±300 m on the x-axis are emitting 3.0 MHz radio waves. Is the point (x, y) (300 m, 800 m) a point of maximum constructive interference, perfect destructive interference, or something in between?arrow_forward
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