Answered: Would you see the same thin film…

Would you see the same thin film interference pattern in a film of soap surrounded by air and a film of soap on glass? Why or why not?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 25P: An air wedge is formed between two glass plates separated at one edge by a very line wire of...

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

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Would you see the same thin film interference pattern in a film of soap surrounded by air and a film of soap on glass? Why or why not?

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In Figure P27.7 (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?
An 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.
Figure CQ27.4 shows an unbroken soap film in a circular frame. The film thickness increases from top to bottom, slowly at first and then rapidly. As a simpler model, consider a soap film (n = 1.33) contained within a rectangular wire frame. The frame is held vertically so that the film drains downward and forms a wedge with flat faces. The thickness of the film at the top is essentially zero. The film is viewed in reflected white light with near-normal incidence, and the first violet ( = 420 nm) interference band is observed 3.00 cm from the top edge of the film. (a) Locate the first red ( = 680 nm) interference band. (b) Determine the film thickness at the positions of the violet and red bands. (c) What is the wedge angle of the film?
Newtons rings, discovered by Isaac Newton, are an interference pattern of dark and bright rings formed because of the air gap of increasing thickness w between a spherical surface and an adjoining flat surface (Example 36.2). Figure P36.55 shows a Newtons rings apparatus with a plano-convex lens with radius of curvature R atop a flat glass slab, both with index of refraction nglass. In the configuration shown, the seventh bright fringe has a radius of 1.10 cm. After the air gap in the apparatus is filled with an unknown liquid, the radius of the seventh fringe decreases to 0.968 cm. What is the index of refraction of the unknown liquid? FIGURE P36.55
Many 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.
Which of the following accurately explains why thin-film interference occurs? Some of the light reflects off the outer surface, some off the boundary between materials, leading to a path difference. Peaks and troughs then interfere with each other to produce minima and maxima. All the light reflects off the boundaries between the materials. Peaks and troughs then interfere with each other to produce minima and maxima. Oil and water undergo a chemical reaction which produces rainbow colors. Light goes through two slits, interfering to produce minima and maxima.
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 silicone substrate is coated on one side with a thin film of ZnO to reduce reflection from the Si surface The index of refraction of ZnO is 1.850 and Si is 3.881 what is the least coating thickness that eliminates the reflection at th middle of the visible spectrum (Lamba=600nm) Draw the suitable diagram.
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Solar cells—devices that generate electricity when exposed to sunlight—are often coated with a transparent, thin film of silicon monoxide (SiO, n = 1.45) to minimize reflective losses from the surface. Suppose a silicon solar cell (n = 3.5) is coated with a thin film of silicon monoxide for this purpose (as shown). Determine the minimum film thickness that produces the least reflection at a wavelength of 550 nm, near the center of the visible spectrum.
Sometimes you can see the 'rainbow' in a thin layer of oil on the ground. Explain why this happens. The rainbow pattern is formed due to thin film interference at the front and back surfaces of the oil. The rainbow pattern is due to the properties of reflection of the oil, which disperse light. The rainbow pattern is due to the water vapor sitting on the oil and acting like the water droplets in the sky. The rainbow pattern is due to refraction between the air and oil. The rainbow pattern is due to the molecular structure of the oil, which absorbs white light and re-emits the rainbow pattern. The rainbow pattern is only visible during hot, humid days. The rainbow pattern is visible only in desert-like conditions.
You have been tasked with designing an anti-reflective coating for a camera lens. If the material you are using for the thin film, the antireflective coating has an n=1.38, and a coating is designed to eliminate reflected light of 550 nm in air when incident normally on glass (n=1.50), what thickness should the film be? A: what color would the lens look like B: why does this effect indicate that light behaves like a wave I already know the thickness, it is 99.6. I need help with parts A and B.