College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The light reflected from a soap bubble (n = 1.40) appears red (λ = 640 nm) at its center. What is the minimum thickness (in nm)?
Please explain how you know it is constructive interference.
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- A thin film of oil (n = 1.30) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at 548 nm. (a) What is the minimum thickness of the oil film? nm (b) Let m₁ correspond to the order of the constructive interference and m₂ to the order of destructive interference. Obtain a relationship between m₁ and m₂ that is consistent with the given data.arrow_forwardA light with wavelength λ = 565 nm falls on a pair of closely separated slits. The first dark fringe of the interference pattern is at an angle θ = 3.25 degrees from the central maximum. a) Solve for the numerical value of d in mm.arrow_forwardair 1. n = 1 [a] The figure shows a soap film of thickness dį in air. Light impinges on the film with an angle of incidence 01 and is reflected and refracted at the interfaces. Rays 1 and 2 represents reflected light, while rays 3 and 4 represent light that has been transmitted into the glass. soap \[c] n, = 1.33 |d [b] air n= 1 3 4 The bracketed letters (a], [b], and [c] indicate reflections at the air-soap, and soap-air interfaces. For which of these reflections does a phase change of n occur? Check all that apply. [a] [b] O (c)arrow_forward
- Light of wavelength 633 nm is incident normally on a diffraction grating. The second-order maximum of the diffraction pattern is observed at 49.0°. a. What is the number of rulings per centimeter for the grating? b. Find the angle for the first-order maximum.arrow_forwardA thin film of oil is on water. What is the thinnest that the oil can be to have constructive interference on reflection? The wavelength of the light in air is 480nm. Assume the beam starts in air. [n =1.00 ,n =1.50 , nwaer =1.33]arrow_forwardA thin film of oil (n=1.4) rests on the surface of a pool of water (n=1.33). Light with frequency 5.0x10^14 Hz traveling through air (n=1) is normally incident upon the oil, undergoing thin film interference. a) Will there be a relative phase shift? b) What is the wavelength of the light in the oil? c) What minimum thickness should the oil have if we wish to get constructive interference? d) What minimum thickness should the oil have if we wish to get destructive interference? Please write your answers in the space below and email your work. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B I U S Paragraph Arial V 10pt くく AV I XQ 5 ते EE ...arrow_forward
- Green light has a wavelength of approximately 510 nm. When green light is diffracted through a single slit with a width of 30 mm, the observed separation of the first dark fringe and the central maximum is 3.6 cm. Determine the distance between the slit and the screen for this observation to have been madearrow_forwardA monochromatic (single wavelength) light is incident on a 0.12-mm-wide slit. The second minimum in the diffraction pattern occurs at 0.70⁰. a. What is the wavelength of the incident light? b. If the screen on which the diffraction pattern is produced is placed 0.8 m away from the slit, determine the width of the central maximum.arrow_forwardUsing a 697 nm wavelength laser, you form the diffraction pattern of a 1.11 mm wide slit on a screen. You measure on the screen that the 11th dark fringe is 8.33 cm away from the center of the central maximum. How far is the screen located from the slit?arrow_forward
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