Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 33, Problem 44P
To determine
The number of interference maxima in the central diffraction maximum when slit separation is 5 times the slit width and when it is an integral multiple of the slit width in the interference diffraction pattern of two slits.
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Physics for Scientists and Engineers
Ch. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10P
Ch. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - Prob. 13PCh. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - Prob. 22PCh. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - Prob. 28PCh. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - Prob. 35PCh. 33 - Prob. 36PCh. 33 - Prob. 37PCh. 33 - Prob. 38PCh. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - Prob. 41PCh. 33 - Prob. 42PCh. 33 - Prob. 43PCh. 33 - Prob. 44PCh. 33 - Prob. 45PCh. 33 - Prob. 46PCh. 33 - Prob. 47PCh. 33 - Prob. 48PCh. 33 - Prob. 49PCh. 33 - Prob. 50PCh. 33 - Prob. 51PCh. 33 - Prob. 52PCh. 33 - Prob. 53PCh. 33 - Prob. 54PCh. 33 - Prob. 55PCh. 33 - Prob. 56PCh. 33 - Prob. 57PCh. 33 - Prob. 58PCh. 33 - Prob. 59PCh. 33 - Prob. 60PCh. 33 - Prob. 61PCh. 33 - Prob. 62PCh. 33 - Prob. 63PCh. 33 - Prob. 64PCh. 33 - Prob. 65PCh. 33 - Prob. 66PCh. 33 - Prob. 67PCh. 33 - Prob. 68PCh. 33 - Prob. 69PCh. 33 - Prob. 70PCh. 33 - Prob. 71PCh. 33 - Prob. 72PCh. 33 - Prob. 73PCh. 33 - Prob. 74PCh. 33 - Prob. 75PCh. 33 - Prob. 76PCh. 33 - Prob. 77PCh. 33 - Prob. 78PCh. 33 - Prob. 79PCh. 33 - Prob. 80PCh. 33 - Prob. 81PCh. 33 - Prob. 82PCh. 33 - Prob. 83PCh. 33 - Prob. 84PCh. 33 - Prob. 85PCh. 33 - Prob. 86PCh. 33 - Prob. 87P
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- How far would you place a screen from the slit of the previous problem so that the second minimum is a distance of 2.5 mm from the center of the diffraction pattern?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_forwardSuppose that the highest order fringe that can be observed is the eighth in a double-slit experiment where 550-nm wavelength light is used. What is the minimum separation of the slits?arrow_forward
- Shown below is a double slit located a distance x from a screen, with the distance from the center of the screen given by y. When the distance d between the slits is relatively large, numerous bright spots appear, called fringes. Show that, for small angles (where sin , with in radians), the distance between fringes is given by y=x/darrow_forwardWhat is the smallest separation between two slits that will produce a second-order maximum for 720-nm red light?arrow_forwardIf 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.arrow_forward
- For a three-slit interference pattern, find the ratio of the peak intensities of a secondary maximum to a principal maximum.arrow_forwardSuppose that the central peak of a single-slit diffraction pattern is so wide that the first minima can be assumed to occur at angular positions of 90 . For this case, what is the ratio of the slit width to the wavelength of the light?arrow_forwardThe analysis shown below also applies to diffraction gratings with lines separated by a distance d. What is the distance between fringes produced by a diffraction grating having 125 lines per centimeter for 600-nm light, if the screen is 1.50 m away? (Hint: The distance between adjacent fringes is y=x/d , assuming the slit separation d is comparable to ?.)arrow_forward
- 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?arrow_forwardThe thickness of an aluminum foil is measured using a Michelson interferometer that has its movable mirror mounted on a micrometer. There is a difference of 27 fringes in the observed interference pattern when the micrometer clamps down on the foil compared to when the micrometer is empty. Calculate the thickness of the foil?arrow_forwardWhat is the highest-order maximum for 400-nm light falling on double slits separated by 25.0 m?arrow_forward
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