Two slits separated by a distance of d = 0.120 mm are located at a distance of D = 770. mm from a screen. The screen is oriented parallel to the plane of the slits. The slits are illuminated by a coherent light source with a wavelength of i = 537 x 10-6 mm. The interference pattern shows a peak at the center of the screen (m =0) and then alternating minima and maxima. a) What is the path length difference between the two waves from the two slits at the first (m = maximum on the screen? Submit Answer Tries 0/6 b) What is the path length difference between the two waves from the two slits at the first (m = 0) minimum on the screen? Submit AnswerTries 0/6 c) Calculate the distance on the screen between the central maximum (m = 0) and the first (m = 1) maximum (You can assume sin(0) = tan(0) = 0, with 0 expressed in radians). Submit Answer Tries 0/6

Two slits separated by a distance of d = 0.120 mm are located at a distance of D = 770. mm from a screen. The screen is oriented parallel to the plane of the slits. The slits are illuminated by a coherent light source with a wavelength of i = 537 x 10-6 mm. The interference pattern shows a peak at the center of the screen (m =0) and then alternating minima and maxima. a) What is the path length difference between the two waves from the two slits at the first (m = maximum on the screen? Submit Answer Tries 0/6 b) What is the path length difference between the two waves from the two slits at the first (m = 0) minimum on the screen? Submit AnswerTries 0/6 c) Calculate the distance on the screen between the central maximum (m = 0) and the first (m = 1) maximum (You can assume sin(0) = tan(0) = 0, with 0 expressed in radians). Submit Answer Tries 0/6

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter24: Wave Optics

Section: Chapter Questions

Problem 3P: Light at 633 nm from a helium-neon laser shines on a pair of parallel slits separated by 1.45 105 m...

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In 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?
Coherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.
What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.
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 mm
A 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.
Consider 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?
In Figure P36.10 (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? Figure P36.10
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the width of the central principal maximum on a screen 2.35 m away?
Suppose Youngs double-slit experiment is performed in air using red light and then the apparatus is immersed in water. What happens to the interference pattern on the screen? (a) It disappears. (b) The bright and dark fringes stay in the same locations, but the contrast is reduced. (c) The bright fringes are closer together. (d) The bright fringes are farther apart. (e) No change happens in the interference pattern.
In the double-slit arrangement of Figure P36.13, d = 0.150 mm, L = 140 cm, = 643 nm. and y = 1.80 cm. (a) What is the path difference for the rays from the two slits arriving at P? (b) Express this path difference in terms of . (c) Does P correspond to a maximum, a minimum, or an intermediate condition? Give evidence for your answer. Figure P36.13
Light at 633 nm from a helium-neon laser shines on a pair of parallel slits separated by 1.45 105 m and an interference pattern is observed on a screen 2.00 m from the plane of the slits. (a) Find the angle from the central maximum to the First bright fringe. (b) At what angle from the central maximum does the second dark fringe appear? (c) Find the distance from the central maximum to the first bright fringe.
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?