*39 Light of wavelength 440 nm passes through a double slit, yielding a diffraction pattern whose graph of intensity I versus an- gular position e is shown in Fig. 36-44. Calculate (a) the slit width and (b) the slit separation. (c) Verify the displayed intensities of the m = 1 and m = 2 interference fringes. 5. e (degrees) Figure 36-44 Problem 39. Intensity (mW/cm2)

*39 Light of wavelength 440 nm passes through a double slit, yielding a diffraction pattern whose graph of intensity I versus an- gular position e is shown in Fig. 36-44. Calculate (a) the slit width and (b) the slit separation. (c) Verify the displayed intensities of the m = 1 and m = 2 interference fringes. 5. e (degrees) Figure 36-44 Problem 39. Intensity (mW/cm2)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Light of wavelength 586.0 nm illuminates a slit of width 0.64 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.89 mm from the central maximum? (b) Calculate the width of the central maximum. mm Need Help? Read It Watch It Master It
345 nm light incident on a 0.364-mm wide single slit produces a vertically-oriented diffraction pattern on a screen 3.43 m away. Determine the approximate ratio of the intensity I at a point 2.04 mm above the center of the central maximum to the intensity Io of the central maximum itself. I Io ≈ 0.2369 Incorrect
The intensity of the single-slit diffraction pattern at any angle 0 is given by 1 (0) = 1m (sing)². For light of wavelength 480 nm falling on a slit of width 3.5 µm, what is the value of a when 8 = 18°? 7.1 rad 0.31 rad 7.3 rad 2.3 rad 9.8 rad
103 In Fig. 35-59, an oil drop (n = 1.20) floats on the surface of wa- ter (n = 1.33) and is viewed from overhead when illuminated by sun- light shining vertically downward and reflected vertically upward. (a) Are the outer (thinnest) regions of the drop bright or dark? The oil film displays several spectra of colors. (b) Move from the rim inward to the third blue band and, using a wavelength of 475 nm for blue light, determine the film thickness there. (c) If the oil thickness in- creases, why do the colors gradually fade and then disappear? %3D Oil Water Figure 35-59 Problem 103.
Given a double slit set up with a spacing of 5.74*10-6m and the light has a wavelength of 618 nm: How far from the central maximum is the third dark fringe (m=2) when the distance between the slits and the screen is 5.00 meters? a) 1.40m b) 2.03m c) 1.30m d) 1.10m (Hint: answer is a)
38. Measurements are made of the intensity distribution within the central bright fringe in a Young's interference pattern (see Fig. 36.5). At a particular value of y, it is found that I/ - 0.810 when 600-nm light is used. What wavelength of light should be used to reduce the relative intensity at the same location to 64.0% of the maximum intensity?
Light of wavelength 575 nm falls on a double slit, and the first bright fringe of the interference pattern is seen at an angle of 13.0° from the central maximum. Find the separation between the slits. μm
600 nm light is incident on a diffraction grating with a ruling separation of 1.7 × 10-6 m. The second order line occurs at a diffraction angle of:
1. (a) What is the highest-order maximum for 400 -nm light falling on double slits separated by 25 µm? Hint: Is there a limit on how many bright and dark bands appear on a pattern? (b) What part of the EM spectrum does this wavelength belong to? Visible Region/Ultraviolet O Infrared X-rays
Example 35-1: Single-slit diffraction maximum. Light of wavelength 750 nm passes through a slit 1.0 x 10-3 mm wide. How wide is the central maximum (a) in degrees, and (b) in centimeters, on a screen 20 cm away?
18. Monochromatic coherent light of amplitude E, and angular frequency o passes through three parallel slits, each sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 8 is 2nd sin I(0) - 1 1+2 cos (b) Explain how this expression describes both the primary and the secondary maxima. (c) Determine the ratio of the intensities of the primary and secondary maxima. Hint: See Problem 16.
78 E The primary rainbow described in Problem 77 is the type commonly seen in regions where rainbows appear. It is pro- duced by light reflecting once inside the drops. Rarer is the sec- ondary rainbow described in Module 33-5, produced by light reflecting twice inside the drops (Fig. 33-68a). (a) Show that the angular deviation of light entering and then leaving a spherical water drop is Odev = (180°)k + 20, – 2(k + 1)8,, where k is the number of internal reflections. Using the procedure of Problem 77, find the angle of minimum deviation for (b) red light and (c) blue light in a secondary rainbow. (d) What is the angular width of that rainbow (Fig. 33-21d)? The tertiary rainbow depends on three internal reflections (Fig. 33-68b). It probably occurs but, as noted in Module 33-5, cannot be seen with the eye because it is very faint and lies in the bright sky surrounding the Sun. What is the angle of minimum de- viation for (e) the red light and (f) the blue light in this rainbow? (g)…