Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 40, Problem 24SP
To determine
The fringe width of two consecutive bright fringes at
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There is a 520 nm laser beam that is going through two narrow slits that creates a (interference) pattern at
a wall that is 1.55 m from the slits.
Calculate:
a. Width of the central diffraction maximum on the wall is 4.27 cm. What is its angular width? (in
radians)
b. Use the radians calculated earlier to calculate the slit width in microns
c. Distance of the 3rd diffraction minimum from the center of the patter on the wall
d. Index numbers for difference orders where the interference maximum would be missing if the slit
separation is 250µm
e. If the slits remain at this width, what would the separate distance be if the 6th interference minimum
overlapped with the 2nd diffraction minimum
In a double-slit configuration, the slit separation is 5 times the slit width.
There are 9 interference fringes appear that. in the central peak of the diffraction pattern.
Part (b) How many interference fringes appear in any other peak of the diffraction pattern excluding the central peak.
Solve problem 7 given problem 6.
Chapter 40 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 40 - 40.16 [I] Considering Young’s experiment using...Ch. 40 - Prob. 17SPCh. 40 - Prob. 18SPCh. 40 - Prob. 19SPCh. 40 - Prob. 20SPCh. 40 - 21. Suppose we have Young’s double-slit setup with...Ch. 40 - Prob. 22SPCh. 40 - Prob. 23SPCh. 40 - Prob. 24SPCh. 40 - 40.25 [II] Two sound sources send identical waves...
Ch. 40 - Prob. 26SPCh. 40 - 40.27 [I] A double-slit experiment is done in the...Ch. 40 - 40.28 [I] In Problem 40.27, if the slit-to-screen...Ch. 40 - 40.29 [I] Red light of wavelength 644 nm, from a...Ch. 40 - 40.30 [I] Two flat glass plates are pressed...Ch. 40 - Prob. 32SPCh. 40 - Prob. 33SPCh. 40 - Prob. 34SPCh. 40 - 40.35 [II] Green light of wavelength 500 nm is...Ch. 40 - 40.36 [II] A narrow beam of yellow light of...Ch. 40 - 40.37 [II] Blue light of wavelength m is...Ch. 40 - 40.38 [II] Determine the ratio of the wavelengths...Ch. 40 - 40.39 [II] A spectrum of white light is obtained...Ch. 40 - Prob. 40SPCh. 40 - Prob. 41SP
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- 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_forwardWhat 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.arrow_forwardHow 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_forward
- A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?arrow_forwardAs an example of diffraction by apertures of everyday dimensions, consider a doorway of width 1.0 m. (a) What is the angular position of the first minimum in the diffraction pattern of 600-nm light? (b) Repeat this calculation for a musical note of frequency 440 Hz (A above middle C). Take the speed of sound to be 343 m/s.arrow_forwardMonochromatic 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?arrow_forward
- 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.arrow_forwardDetermine the intensities of three interference peaks other than the central peak in the central maximum of the diffraction, if possible, when a light of wavelength 500 nm is incident normally on a double slit of width 1000 nm and separation 1500 nm. Use the intensity of the central spot to be 1mW/cm2 .arrow_forwardWhat are the angular positions of the first and second minima in a diffraction pattern produced by a slit of width 0.20 mm that is illuminated by 400 nm light? What is the angular width of the central peak?arrow_forward
- The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600 nm, and the screen is 2.0 m from the slit. (a) What is the width of the slit? (b) Determine the ratio of the intensity at 4.5 mm from the center of the pattern to the intensity at the center.arrow_forwardWhat is the smallest separation between two slits that will produce a second-order maximum for 720-nm red light?arrow_forwardWhat is the separation between two slits for which 610-nm orange light has its first maximum at an angle of 30.0°?arrow_forward
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