May you answer the question in the image attached below. Also, the answer is not 176 nm. I have tried using it, and it was marked as incorrect because "You may have confused the expressions of constructive and destructive reflection. To find the smallest thickness of the grease layer, recall the definition of the constructive reflection." Thank you. Part GA bowl of water (n = 1.33) has a thin layer of grease (n = 1.60) floating on top of the water. When you illuminate the grease from above with monochromaticlight, you get constructive reflection if the wavelength in air is 565 nm. Find the smallest possible thickness of the grease layer.%3DExpress your answer with the appropriate units.HAtmin =ValueUnits

For the light reflected off the oil or grease and the light reflected off the water to…

Part G A bowl of water (n = 1.33) has a thin layer of grease (n = 1.60) floating on top of the water. When you illuminate the grease from above with monochromatic light, you get constructive reflection if the wavelength in air is 565 nm. Find the smallest possible thickness of the grease layer. %3D Express your answer with the appropriate units. HA tmin = Value Units

Part G A bowl of water (n = 1.33) has a thin layer of grease (n = 1.60) floating on top of the water. When you illuminate the grease from above with monochromatic light, you get constructive reflection if the wavelength in air is 565 nm. Find the smallest possible thickness of the grease layer. %3D Express your answer with the appropriate units. HA tmin = Value Units

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 115AP: (a) What visible wavelength has its fourth-order maximum at an angle of 25.0° when projected on a...

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Blue light of wavelength 450 nm falls on a slit of width 0.25 mm. A converging lens of focal length 20 cm is placed behind the slit and focuses the diffraction pattern on a screen. (a) How far is the screen from the lens? (b) What is the distance between the first and the third minima of the diffraction pattern?
The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
(a) What visible wavelength has its fourth-order maximum at an angle of 25.0° when projected on a 25,000-line per centimeter diffraction grating? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a 30.0incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?
(a) As a soap bubble thins it becomes dark, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the bubble can be and appear dark at all visible wavelengths? Assume the same index of refraction as water. (b) Discuss the fragility of the film considering the thickness found.
(a) A narrow beam of light containing yellow (580 nm) and green (550 nm} wavelengths goes from polystyrene to air, striking the surface at a 30.0° incident angle. What is the angle between the colors when they emerge? (b) How far would they have to travel to be separated by 1.00 mm?
A. An x-ray beam with wavelength 0.130 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 62.0∘. What is the spacing d between the planes of the crystal? Express your answer in nanometers to three significant figures. B.Find the angle θ2 at which you will find a second maximum. Express your answer in degrees to three significant figures.
A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the eyepiece and out the objective, and can then be projected onto a satellite or the Moon. a. If this is done with the Mount Wilson telescope, producing a 2.1 m diameter beam of 690 nm light, what is the minimum angular spread, in radians, of the beam? b. Neglecting atmospheric effects, what is the diameter of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108 m?
1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be aphase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? Howcan you tell, without doing the experiment, whether or not there will be a phase shift in eitherbeam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses(hint: it’s thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nmis used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and35.18, but your answer to part a should be helpful in deciding which set.
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.
The lens of a camera has a thin film coating designed to enhance the ability of the lens to absorb visible light near the middle of the spectrum, specifically light of wavelength 560 nm. If nair = 1.00, nfilmcoating %3D 1.40, and njens 1.55, what is the required minimum thickness of the film coating? Assume that the light is normally incident in the air medium. a. 200 nm O b.250 nm O c. 100 nm O d. 150 nm e. 300 nm