COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 26QAP
To determine
What would happen to the diffraction pattern from a narrow slit as the slit width increases.
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12 Figure 36-35 shows the
bright fringes that lie within A
the central diffraction enve-
lope in two double-slit dif-
fraction experiments using
the same wavelength of light.
Figure 36-35 Question 12.
Are (a) the slit width a, (b)
the slit separation d, and (c) the ratio dla in experiment B greater
than, less than, or the same as those quantities in experiment A?
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Young's double slit experiment is one of the quintessential experiments in physics. The availability of low cost lasers in recent
years allows us to perform the double slit experiment rather easily in class. Your professor shines a green laser (562 nm) on a
double slit with a separation of 0.111 mm. The diffraction pattern shines on the classroom wall 3.0 m away. Calculate the fringe
separation between the fifth order and central fringe.
0.015
What is the relationship between slit separation, wavelength, and fringe separation? m
Additional Materials
O Reading
Q1/Determine the expected diffraction angle for the first order reflection from the
(113) set of planes for FCC platinum when monochromatic radiation of
wavelength 0.154 nm is used and the atomic radius of the platinum is 0.1387 nm.
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Chapter 23 Solutions
COLLEGE PHYSICS
Ch. 23 - Prob. 1QAPCh. 23 - Prob. 2QAPCh. 23 - Prob. 3QAPCh. 23 - Prob. 4QAPCh. 23 - Prob. 5QAPCh. 23 - Prob. 6QAPCh. 23 - Prob. 7QAPCh. 23 - Prob. 8QAPCh. 23 - Prob. 9QAPCh. 23 - Prob. 10QAP
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- In a Youngs double-slit experiment, a set of parallel slits with a separation of 0.100 mm is illuminated by light having a wave- length of 589 nm, and the interference pattern is observed on a screen 4.00 m from the slits, (a) What is the difference in path lengths from each of the slits to the location of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern?arrow_forwardMany cells are transparent anti colorless. Structures of great interest in biology and medicine can be practically invisible to ordinary microscopy. To indicate the size and shape of cell structures, an interference micro-scope reveals a difference in index of refraction as a shift in interference fringes. The idea is exemplified in the following problem. An air wedge is formed between two glass plates in contact along one edge and slightly separated at the opposite edge as in Figure P37.37. When the plates are illuminated with monochromatic light from above, the reflected light has 85 dark fringes. Calculate the number of dark fringes that appear if water (n = 1.33) replaces the air between the plates.arrow_forwardIn a Youngs double-slit experiment, a set of parallel slits with a separation of 0.100 mm is illuminated by light having a wave- length of 589 nm, and the interference pattern is observed on a screen 4.00 m from the slits, (a) What is the difference in path lengths from each of the slits to the location of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern?arrow_forward
- The intensity on the screen at a certain point in a double- slit interference pattern is 64.0% of the maximum value. (a) What minimum phase difference (in radians) between sources produces this result? (b) Express this phase difference as a path difference for 486.1-nm light.arrow_forward(a) As a soap bubble thins it becomes dark, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the bubble can be and appear dark at all visible wavelengths? Assume the same index of refraction as water. (b) Discuss the fragility of the film considering the thickness found.arrow_forward(a) What is the distance between the slits of a diffraction grating that produces a first-order maximum for the first Balmer line at an angle of 20.0°? (b) At what angle will the fourth line of the Balmer series appear in first order? (c) At what angle will the second-order maximum be for the first line?arrow_forward
- Light of wavelength 632.8 nm illuminates a single slit, and a diffraction pattern is formed on a screen 1.00 m from the slit. (a) Using the data in the following table, plot relative intensity versus position. Choose an appropriate value for the slit width a and, on the same graph used for the experimental data, plot the theoretical expression for the relative intensity IImax=sin22 where = (a sin )/. (b) What value of a gives the best fit of theory and experiment? Position Relative to Maximum (mm) Relative Intensity 0 1.00 0.8 0.95 1.6 0.80 3.2 0.39 4.8 0.079 6.5 0.003 8.1 0.036 9.7 0.043 11.3 0.013 12.9 0.000 3 14.5 0.012 16.1 0.015 17.7 0.004 4 19.3 0.000 3arrow_forward(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0 m. (b) What slit width would place this minimum at 85.0°? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Opticsarrow_forwardWhen we studied Youngs double-slit experiment, we mostly ignored the dark fringe pattern produced by diffraction. Use Figure 35.21 to describe situations in which that omission makes sense. Think especially about the single slit used in front of the double slit in Youngs experiment (Fig. 35.9).arrow_forward
- Unreasonable Results (a) What visible wavelength has its fourth-order maximum at an angle of 25.0° when projected on a 25,000-line-per-centimeter diffraction grating? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forwardA beam of monochromatic light is diffracted by a slit of width 0.590 mm. The diffraction pattern forms on a wall 1.36 m beyond the slit. The width of the central maximum is 1.75 mm. Calculate the wavelength of the light. nmarrow_forward#8 Inteference and Diffraction is incident on a double slit configuration where the distance between the slits is 2.00 x 10-4 m. The resulting is projected on a distant screen. Coherent light with a wavelength of 520 nm a. Describe the pattern of fringes which result. State briefly what causes the major fea- tures (i.e. bright and dark lines). b. Calculate the angle to the first order maximum from the central maximum.arrow_forward
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