Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 36, Problem 38AP
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A double-slit arrangement produces interference fringes for sodium light (l =589 nm) that have an angular separation of 3.50* 10-3 rad. For what wavelength would the angular separation be 10.0% greater?
What is the highest order bright fringe that will be observed when green light of wavelength 550 nm is incident on a Young's double slit apparatus with a slit spacing of 11 µm?
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b.
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Monochromatic light of wavelength l = 620 nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is observed on a screen 3.00 m from the slit. In terms of the intensity I0 at the peak of the central maximum, what is the intensity of the light at the screen the following distances from the center of the central maximum: (a) 1.00 mm; (b) 3.00 mm; (c) 5.00 mm?
Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 36.2 - Which of the following causes the fringes in a...Ch. 36.3 - Using Figure 36.6 as a model, sketch the...Ch. 36.5 - One microscope slide is placed on top of another...Ch. 36 - Two slits are separated by 0.320 mm. A beam of...Ch. 36 - Prob. 2PCh. 36 - A laser beam is incident on two slits with a...Ch. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Light with wavelength 442 nm passes through a...Ch. 36 - Prob. 7P
Ch. 36 - A student holds a laser that emits light of...Ch. 36 - Coherent light rays of wavelength strike a pair...Ch. 36 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - In the double-slit arrangement of Figure P36.13, d...Ch. 36 - Monochromatic light of wavelength is incident on...Ch. 36 - Prob. 15PCh. 36 - Show that the distribution of intensity in a...Ch. 36 - Prob. 17PCh. 36 - Monochromatic coherent light of amplitude E0 and...Ch. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - When a liquid is introduced into the air space...Ch. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28APCh. 36 - Prob. 29APCh. 36 - Prob. 30APCh. 36 - Prob. 31APCh. 36 - Prob. 32APCh. 36 - In a Youngs double-slit experiment using light of...Ch. 36 - Prob. 34APCh. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - Prob. 36APCh. 36 - In a Newtons-rings experiment, a plano-convex...Ch. 36 - Prob. 38APCh. 36 - A plano-concave lens having index of refraction...Ch. 36 - Prob. 40APCh. 36 - Interference fringes are produced using Lloyds...Ch. 36 - A plano-convex lens has index of refraction n. The...Ch. 36 - Prob. 43APCh. 36 - Prob. 44APCh. 36 - Prob. 45APCh. 36 - Prob. 46CPCh. 36 - Prob. 47CPCh. 36 - Prob. 48CPCh. 36 - Prob. 49CPCh. 36 - Prob. 50CP
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- Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.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_forwardTable P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80arrow_forward
- For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?arrow_forwardA beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?arrow_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
- 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_forwardIn a single-slit diffraction experiment, monochromatic light of wavelength 505 nm is passed through a slit 0.320 mm wide, and the diffraction pattern is observed on a screen 7.14 m from the slit. The intensity at the center of the pattern is ?0. What is the ratio of the intensity at the center of the pattern to the intensity at a point 3.09 mm from the center of the diffraction pattern (?/?0)?arrow_forwardIn a double slit experiment, if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits. A) 1.5 cm B) 3.0 cm C) 4.5 cm D) 6.0 cm E) 9.0 cmarrow_forward
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