Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 38, Problem 5OQ
To determine
The change in width of central maximum.
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Light of wavelength l and frequency f passes through a single slit of width a. The diffraction pattern is observed on a screen a distance x from the slit. Which of the following will decrease the width of the central maximum? (a) Decrease the slit width; (b) decrease the frequency f of the light; (c) decrease the wavelength l of the light; (d) decrease the distance x of the screen from the slit. In each case justify your answer.
(a) Explain how the intensity of diffraction pattern changes as the order (n) of the diffraction band varies.
(b) Two wavelengths of sodium light 590 nm and 596 nm are used in turn to study the diffraction at a single slit of size 4 mm. The distance between the slit and screen is 2 m. Calculate the separation between the positions of the first maximum of the diffraction pattern obtained in the two cases
Red light of wavelength 630 nm passes through two slits and then onto a screen that is 1.2 m from the slits. The center of the 3rd order bright band on the screen is separated from the central maximum by 0.72 cm.
(a) Determine the frequency of the light.
(b) Determine the slit separation.
(c) Determine the angle of the 3rd order bright band.
Chapter 38 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 38.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 38.2 - Prob. 38.2QQCh. 38.3 - Cats eyes have pupils that can be modeled as...Ch. 38.3 - Suppose you are observing a binary star with a...Ch. 38.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 38.6 - A polarizer for microwaves can be made as a grid...Ch. 38.6 - Prob. 38.7QQCh. 38 - Prob. 1OQCh. 38 - Prob. 2OQCh. 38 - Prob. 3OQ
Ch. 38 - Prob. 4OQCh. 38 - Prob. 5OQCh. 38 - Prob. 6OQCh. 38 - Prob. 7OQCh. 38 - Prob. 8OQCh. 38 - Prob. 9OQCh. 38 - Prob. 10OQCh. 38 - Prob. 11OQCh. 38 - Prob. 12OQCh. 38 - Prob. 1CQCh. 38 - Prob. 2CQCh. 38 - Prob. 3CQCh. 38 - Prob. 4CQCh. 38 - Prob. 5CQCh. 38 - Prob. 6CQCh. 38 - Prob. 7CQCh. 38 - Prob. 8CQCh. 38 - Prob. 9CQCh. 38 - Prob. 10CQCh. 38 - Prob. 11CQCh. 38 - Prob. 12CQCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Coherent light of wavelength 501.5 nm is sent...Ch. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - What is the approximate size of the smallest...Ch. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Consider an array of parallel wires with uniform...Ch. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - A grating with 250 grooves/mm is used with an...Ch. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Light from an argon laser strikes a diffraction...Ch. 38 - Show that whenever white light is passed through a...Ch. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53APCh. 38 - Prob. 54APCh. 38 - Prob. 55APCh. 38 - Prob. 56APCh. 38 - Prob. 57APCh. 38 - Prob. 58APCh. 38 - Prob. 59APCh. 38 - Prob. 60APCh. 38 - Prob. 61APCh. 38 - Prob. 62APCh. 38 - Prob. 63APCh. 38 - Prob. 64APCh. 38 - Prob. 65APCh. 38 - Prob. 66APCh. 38 - Prob. 67APCh. 38 - Prob. 68APCh. 38 - Prob. 69APCh. 38 - Prob. 70APCh. 38 - Prob. 71APCh. 38 - Prob. 72APCh. 38 - Prob. 73APCh. 38 - Light of wavelength 632.8 nm illuminates a single...Ch. 38 - Prob. 75CPCh. 38 - Prob. 76CPCh. 38 - Prob. 77CPCh. 38 - Prob. 78CPCh. 38 - Prob. 79CP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A 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_forwardA beam of monochromatic green light is diffracted by a slit of width 0.550 mm. The diffraction pattern forms on a wall 2.06 m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.10 mm. Calculate the wavelength of the light.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_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_forwardWhy is monochromatic light used in the double slit experiment? What would happen if white light were used?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_forward
- An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?arrow_forwardA monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 radarrow_forwardShow that the distribution of intensity in a double-slit pattern is given by Equation 36.9. Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)arrow_forward
- When 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 the single-slit diffraction pattern for =600 nm, D=0.025 mm , and x=2.0 m. Find the intensity in terms of Io at =0.5 , 1.0°, 1.5°, 3.0°, and 10.0°.arrow_forwardIf you double the width of a single slit, the intensity of the central maximum of the diffraction pattern increases by a factor of 4, even though the energy passing through the slit only doubles. Explain this quantitatively.arrow_forward
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