1. Figure below shows a double slit located a distance x from a screen, with the distance from the center of the screen given by y. The slits are illuminated by light of wavelength A. When the distance d between the slits is relatively large, there will be numerous bright spots, called fringes. Using the small angle approximation (where sine0, with 0 in radians), calculate the distance between fringes in terms of A and the variables shown below. Ym+1 Ут Om+1 d. Answer symbollically using: x,d, and A. Use the orange square root symbol box to enter variables and greek symbols. Ay= Using the result of part (a), calculate the distance between fringes for 646 -nm light falling on double slits separated by 0.09 mm, located 2 m from a screen as in Figure. Ду: cm

1. Figure below shows a double slit located a distance x from a screen, with the distance from the center of the screen given by y. The slits are illuminated by light of wavelength A. When the distance d between the slits is relatively large, there will be numerous bright spots, called fringes. Using the small angle approximation (where sine0, with 0 in radians), calculate the distance between fringes in terms of A and the variables shown below. Ym+1 Ут Om+1 d. Answer symbollically using: x,d, and A. Use the orange square root symbol box to enter variables and greek symbols. Ay= Using the result of part (a), calculate the distance between fringes for 646 -nm light falling on double slits separated by 0.09 mm, located 2 m from a screen as in Figure. Ду: cm

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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HW9 Q7
Content AND Remaining Time: 2 hours, 57 minutes, 30 seconds. ✓Question Completion Status: QUESTION 1 You can observe thin-film interference by dipping a bubble wand into some bubble solution and holding the wand in the air. What is the thickness of the thinnest soap film at which you would see a black stripe if the light illuminating the film has a wavelength of 540 nm? Hint: use n = 1.33. A. 97.9 nm B. 88.3 nm c. 101.5 nm ⒸD. 120.1 nm QUESTION 2
As shown the viewing screen in a double-slit experiment with monochromatic light. Fringe C is the central maximum.a. What will happen to the fringe spacing if the wavelength of the light is decreased?b. What will happen to the fringe spacing if the spacing between the slits is decreased?c. What will happen to the fringe spacing if the distance to the screen is decreased?d. Suppose the wavelength of the light is 500 nm. How much farther is it from the dot on the screen in the center of fringe E to the left slit than it is from the dot to the right slit?
2. d is the distance between 2 slits, L is the distance between the slit and the viewing screen, P2 or Y is the distance between the second-order fringe and the center of the screen. Determine the wavelength of light (1 Å= 10-¹0 m). mm 1m -1 mm
q16
J03
Pattern A, a single-slit interference pattern viewed on a screen using a monochromatic source, is changed to pattern B. Both are shown below. Pattern A Pattern B Which of the following changes could explain the change in the pattern? a. The screen is moved closer. b. The width of the slit is increased. c. The frequency of the source is decreased. d. The wavelength of the source is decreased. e. The intensity of the source is increased.
Establish the relevant theoretical model: Write an equation linking the distance between the two slits (d), the wavelength of the light source (2), the distance from the screen (L), the linear position (y) of the bright interference bangs and the order of these bangs (m). Use the small-angle approximation. Isolate, in this relationship, the linear position of the bright fringes. Draw a graph of y as a function of m.
HW5 Q5
Light with a wavelength of 646 nm passes through two slits and forms an interference pattern on a screen 8.75 Im away. The distance between the two second-order bright fringe is 10.32 cm. What is the angle of the third order minimum fringe? A. 0.42° OB. 0.11° OC. 3.98 ° OD. 0.02° E. 0.84°
Light that has a wavelength of 600 nm is incident on a single slit that is 54 μm wide. 1. Determine the angular location of the first dark fringe that is formed on a screen behind the slit. 2. Determine the angular location of the second dark fringe that is formed on a screen behind the slit. 3. Determine the angular location of the third dark fringe that is formed on a screen behind the slit.