The nonreflective coating on a camera lens with an index of refraction of 1.23 is designed to minimize the reflection of 625-nm light. If the lens glass has an index of refraction of 1.51, what is the minimum thickness of the coating that will accomplish this task? x Your response differs from the correct answer by more than 10%. Double check your calculations. m

The nonreflective coating on a camera lens with an index of refraction of 1.23 is designed to minimize the reflection of 625-nm light. If the lens glass has an index of refraction of 1.51, what is the minimum thickness of the coating that will accomplish this task? x Your response differs from the correct answer by more than 10%. Double check your calculations. m

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 47P: To save money on making military aircraft invisible to radar, an inventor decides to coat them with...

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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) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?
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?
(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 beam of monochromatic light within a fiber optic cable is incident on one of the sides of the cable (n = 1.485) at an angle of incidence i. Assume the fiber is surrounded by air (n = 1.00029). a. What is the critical angle for total internal reflection so that the beam stays within the fiber? b. What would the critical angle be if the fiber were completely immersed in water (n = 1.33)?
(a) Show that a 30,000 line per centimeter grating will not produce a maximum for visible light. (b) What is the longest wavelength for which it does produce a first-order maximum? (c) What is the greatest number of line per centimeter a diffraction grating can have and produce a complete second-order spectrum for visible light?
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?
c) The primary mirror of the James Webb Space Telescope consists of 18 hexagonal seg- ments. To measure the step (height offset) between two adjacent segments, a blocker is inserted in the science instrument to only view a small patch of the mirror across two neighboring segments. The light from a star on this patch is then dispersed in wavelength via a grating, with a linear dispersion of 10 μm nm-1 onto a detector, with the wavelength of 1500 nm falling at the centre of the detector. Bright fringes are observed at -2.5 and +2.5 mm from the centre of the detector, with a further 41 bright and 42 dark fringes near equally spaced in between these positions. Calculate the step offset between the two mirror segments.
Assume that a material is composed of 3 layers in descending order: air (nair = 1.00), water (nwater = 1.33), and glass (nglass= 1.52). Then, assume that a monochromatic light ray in the air passes through the surface of water with an angle of incidence 0₁ = 40 degrees. A. Find the angle of refraction in glass after it passes completely through the water layer. B. Find how fast is the light ray moving in the glass?
The nonreflective coating on a camera lens with an index of refraction of 1.31 is designed to minimize the reflection of 620-nm light. If the lens glass has an index of refraction of 1.56, what is the minimum thickness of the coating that will accomplish this task? m
ress SA A thin film of magnesium fluoride (n = 1.38) is applied to glass (n = 1.50) with a thickness of 100 nm. For what visible wavelength of light will this coating act as nonreflecting? Assume normal incidence. O 491 nm O 600 nm O 504 nm 552 pm Q Search 15 40 %5 6 Il app.honorlock.com is sharing your screen. Stop, sharing Hide 99+ 3+ hp 103 a malip 8
PLEASE ANSWER ASAP: An optical fiber is made with a core of glass with index of refraction n2 and a thin layer called the "cladding" with index n3 < n2. We want the find how much light we can capture in the fiber, that is, the largest incident angle theta1 that will result in light in the fiber that strikes the core- cladding boundary at an angle theta3 that is large enough to result in total internal flection. a. What is the minimum angle theta3 for which there will be total internal inflection. b. What is the relation between thetha, and theta 3 c) What is the maximum value of sin theta1 that will result in capture in the fiber? (This is an important parameter for an optical fiber.) Your answer should contain only the indices of refraction in the problem. Please use 1 for n1.