University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Chapter 3, Problem 93CP
Figure 3.14 shows two 7.50-cm-long glass slides illuminated by pure 589-nm
Figure 3.14 (a) The rainbow-color bands are produced by thin-film interference in the air between the two glass slides. (b) Schematic of the paths taken by rays in the wedge of air between the slides. (c) If the air wedge is illuminated with monochromatic light, bright and dark bands are obtained rather than repeating rainbow colors.
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A thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates of glass (n = 1.50). What is the minimum thickness of the liquid layer if normally incident light with λ = 6.00 × 102 nm in air is to be strongly reflected?
One way to determine the index of refraction of a gas is to use an interferometer. As shown below, one of the beams of an interferometer passes through a glass container that has a length of L = 1.8 cm. Initially the glass container is a vacuum. When gas is slowly allowed into the container, a total of 6894 dark fringes move past the reference line. The laser has a wavelength of 635 nm (this is the wavelength when the light from the laser is moving through a vacuum).
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B.) The number of dark fringes is the difference between the number of wavelengths that fit in the container (length of 2L) when it has gas and the number of wavelengths that fit in the container (length of 2L) when it is a vacuum. Use this knowledge to…
Chapter 3 Solutions
University Physics Volume 3
Ch. 3 - Check Your Understanding In the system used in the...Ch. 3 - Check Your Understanding Going further with...Ch. 3 - Check Your Understanding Although m, the number of...Ch. 3 - Young’s double-slit experiment breaks a single...Ch. 3 - Is it possible to create a experimental setup in...Ch. 3 - Why won’t two small sodium lamps, held close...Ch. 3 - Suppose you use the same double slit to perform...Ch. 3 - Why is monochromatic light used in the double slit...Ch. 3 - What effect does increasing the wedge angle have...Ch. 3 - How is the difference in paths taken by two...
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A...Ch. 3 - What is the distance moved by the traveling mirror...Ch. 3 - When the traveling mirror of a Michelson...Ch. 3 - In a Michelson interferometer, light of wavelength...Ch. 3 - A chamber 5.0 cm long with flat, parallel windows...Ch. 3 - For 600-nm wavelength light and a slit separation...Ch. 3 - If the light source in the preceding problem is...Ch. 3 - Red light (=710.nm) illuminates double slits...Ch. 3 - Two sources as in phase and emit waves with =0.42...Ch. 3 - Two slits 4.0106 m apart are illuminated by light...Ch. 3 - Suppose that the highest order fringe that can be...Ch. 3 - The interference pattern of a He-Ne laser light...Ch. 3 - Young’s double-slit experiment is performed...Ch. 3 - A double-slit experiment is to be set up so that...Ch. 3 - An effect analogous to two-slit interference can...Ch. 3 - A hydrogen gas discharge lamp emits visible light...Ch. 3 - Monochromatic light of frequency 5.51014 Hz falls...Ch. 3 - Eight slits equally separated by 0.149 mm is...Ch. 3 - Eight slits equally separated by 0.149 mm is...Ch. 3 - A transparent film of thickness 250 nm and index...Ch. 3 - An intensity minimum is found for 450 nm light...Ch. 3 - A thin film with n=1.32 is surrounded by air. What...Ch. 3 - Repeat your calculation of the previous problem...Ch. 3 - After a minor oil spill, a think film of oil...Ch. 3 - A microscope slide 10 cm long is separated from a...Ch. 3 - Suppose that the setup of the preceding problem is...Ch. 3 - A thin wedge filled with air is produced when two...Ch. 3 - Two identical pieces of rectangular plate glass...Ch. 3 - Two microscope slides made of glass are...Ch. 3 - A good quality camera “lens” is actually a system...Ch. 3 - Constructive interference is observed from...Ch. 3 - A soap bubble is blown outdoors. 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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A Fraunhofer diffraction pattern is produced on a screen located 1.00 m from a single slit. If a light source of wavelength 5.00 107 m is used and the distance from the center of the central bright fringe to the first dark fringe is 5.00 103 m, what is the slit width? (a) 0.010 0 mm (b) 0.100 mm (c) 0.200 mm (d) 1.00 mm (e) 0.005 00 mmarrow_forwardIn Figure P36.10 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4? Figure P36.10arrow_forwardA film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 233 nm. What color is most strongly reflected if it is illuminated perpendicular to its surface?arrow_forward
- Why is the following situation impossible? A piece of transparent material having an index of refraction n = 1.50 is cut into the shape of a wedge as shown in Figure P36.40. Both the top and bottom surfaces of the wedge are in contact with air. Monochromatic light of wavelength = 632.8 nm is normally incident from above, and the wedge is viewed from above. Let h = 1.00 mm represent the height of the wedge and = 0.500 m its length. A thin-film interference pattern appears in the wedge due to reflection from the top and bottom surfaces. You have been given the task of counting the number of bright fringes that appear in the entire length of the wedge. You find this task tedious, and your concentration is broken by a noisy distraction after accurately counting 5 000 bright fringes. Figure P36.40arrow_forwardAn air wedge is formed between two glass plates separated at one edge by a very line wire of circular cross section as shown in Figure P27.25. When the wedge is illuminated from above by 600-nm light and viewed from above, 30 dark fringes are observed. Calculate the diameter d of the wire.arrow_forwardThe figure shows two glass slides illuminated by monochromatic light incident perpendicularly. The top slide touches the bottom slide at one end and rests on a 0.105 mm diameter hair at the other end, forming a thin wedge of air. Rays 1 and 2 as well as rays 1' and 2' shown in the diagram are interfering destructively. How far apart, in millimeters, are the dark bands seen in the slides, if the slides are 8.5 cm long and 592 nm light is used?arrow_forward
- A thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates of glass (n = 1.50). What must be the thickness of the liquid layer if normally incident light with = 394 nm in air is to be strongly reflectedarrow_forwardA thin film of glass (n = 1.66) of thickness 0.363 ?m is viewed under white light at near-normal incidence. What wavelength of visible light is most strongly reflected by the film when surrounded by air? (Visible light ranges from 400 to 700 nm.)arrow_forwardA broad beam of light of wavelength 600 nm is sent directly downward through the glass plate (n = 1.41). That plate and a plastic plate (n = 1.24) form a thin wedge of air that acts as a thin film. An observer looking down through the top plate sees the fringe pattern, with 7 dark fringes, having two centered on the ends. (a) What is the thickness (in m) of wedge at the right end? (b) How many dark fringes will the observer see if the air between the plates is replaced with a liquid with n = 1.35?arrow_forward
- A glass sheet 0.870 μm thick is suspended in air with white light incident perpendicularly on the sheet. In reflected light, there are gaps in the visible spectrum at 498.8 nm and 665.0 nm. Calculate the minimum value of the index of refraction ? of the glass sheet that would produce this effect.arrow_forwardTwo interfering light beams with I2= 122 l. The fringe contrast (Visibility) of the %3D resulting interference pattern is: 0.0602 1.8769 0.0904 0.4490 0.1796 Oarrow_forwardFigure 27.34 shows two glass slides illuminated by purewavelength light incident perpendicularly. The top slide touches the bottom slide at one end and rests on a 0.100-mm-diameter hair at the other end, forming a wedge of air. How far apart are the dark bands, if the slides are 7.50 cm long and 589-nm light is used?arrow_forward
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