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

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 34P: Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of...

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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?
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.
Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?
Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
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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
If the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.