As shown below, white light is incident on a prism. For the orange light that emerges, 01 = 59°. For the purple light that emerges, 02 = 25°. The prism is surrounded by a vacuum & p = 53°. Determine the prism's index of refraction for each color and the wave speed of each color in the prism. white light "purple norange = 2.02823 Vpurple = Vorange =

As shown below, white light is incident on a prism. For the orange light that emerges, 01 = 59°. For the purple light that emerges, 02 = 25°. The prism is surrounded by a vacuum & p = 53°. Determine the prism's index of refraction for each color and the wave speed of each color in the prism. white light "purple norange = 2.02823 Vpurple = Vorange =

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 78PE: A film of oil on water will appear dark when it is very thin, because the path length difference...

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A film of oil on water will appear dark when it is very thin, 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 oil can be and appear dark at all visible wavelengths? Oil has an index of refraction of 1.40.
A certain grade of crude oil has an index of refraction of 1.25. A ship accidentally spills 1.00 m3 of this oil into the ocean, and the oil spreads into a thin, uniform slick. 11 the Him produces a first-order maximum of light of wavelength 500 mm normally incident on it, how much surface area of the ocean does the oil slick cover? Assume the index of refraction of the ocean water is 1.34.
The quantity nt as shown is called the optical path length corresponding to the geometrical distance t and is analogous to the quantity δ as shown, the path difference. The optical path length is proportional to n because a larger index of refraction shortens the wavelength, so more cycles of a wave fit into a particular geometrical distance. (a) Assume a mixture of corn syrup and water is prepared in a tank, with its index of refraction n increasing uniformly from 1.33 at y = 20.0 cm at the top to 1.90 at y = 0. Write the index of refraction n(y) as a function of y. (b) Compute the optical path length corresponding to the 20.0-cm height of the tank by calculating ∫20cm n(y)dy (c) Suppose a narrow beam of light is directed into the mixture at a nonzero angle with respect to the normal to the surface of the mixture. Qualitatively describe its path.
White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth, parallel surfaces as shown in the diagram below. The angle of incidence of the white light at the top surface is 38.0○ For this type of glass, the index of refraction of red light at 700 nm is 1.625, and the index of refraction for violet light at 400 nm is 1.660. Find the width of the spectrum of light along the surface at the bottom of the slab.
A certain kind of glass has an index of refraction of 1.650 for blue light of wavelength 440 nm and an index of 1.620 for red light of wavelength 690 nm. If a beam containing these two colors is incident at an angle of 30.0° on a piece of this glass, what is the angle between the two beams inside the glass?
that a ray incident on a 30° prism is deflected by 22.6° if the prism’s index of refraction is 1.59. Suppose that this is the index of refraction of deep violetlight, and that deep red light has an index of refraction of 1.54.a. What is the deflection angle for deep red light?b. If a beam of white light is dispersed by this prism, how wide is the rainbow spectrum on a screen 2.0 m away?
Our discussion of the techniques for determining constructive and destructive interference by reflection from a thin film in air has been confined to rays striking the film at nearly normal incidence. What If? Assume a ray is incidentat an angle of 30.0° (relative to the normal) on a film with index of refraction 1.38 surrounded by vacuum. Calculate the minimum thickness for constructive interference of sodium light with a wavelength of 590 nm.
Fringes are observed due to monochromatic light in a Michelson interferometer. When the movable mirror is translated by 0.07 mm, a shift of 300 fringes is observed. What is the wavelength of the light? What displacement of the fringe system takes place when a flake of glass of index 1.51 and 0.004 mm thickness is placed in one arm of the interferometer? (Assumethat the light beam is normal to the glass surface.)
Light is incident from air onto glass of refractive index nG = 1.70; calculate the Brewster angle at which the reflectance for TM polarisation is zero. Give your answer in degrees to the nearest 0.1 degree.
Light is incident from air onto glass of refractive index nG=1.65 ; calculate the Brewster angle, at which the reflectance for TM polarisation is zero. Give your answer in degrees, to the nearest 0.1 degree.
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. Both the top and bottom surfaces of the wedge are in contactwith air. Monochromatic light of wavelength λ = 632.° 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 ℓ = 0.500 m its length. A thin-film interference pattern appears in the wedge due to reflection from the topand bottom surfaces. You have been given the task of counting the number of bright fringes that appear in the entire length ℓ of the wedge. You find this task tedious, and your concentration is broken by a noisy distraction after accurately counting 5 000 bright fringes.
A glass sheet 1.10 μm thick is suspended in air. In reflected light, there are gaps in the visible spectrum at 573 nm and 645.00 nm. Calculate the minimum value of the index of refraction ?n of the glass sheet that produces this effect. ?=