Reflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays n and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n1, n2, and n3, the type of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range. n1 n2 n3 Type L

Reflection by thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) The waves of rays n and r2 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n1, n2, and n3, the type of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range. n1 n2 n3 Type L

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 29P: Using the result of the preceding problem, (a) calculate the distance between fringes for 633-nm...

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Using the result of the preceding problem, (a) calculate the distance between fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen. (b) What would be the distance between fringes if the entire apparatus were submersed in water, whose index of refraction is 1.33?
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 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?
A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.313 for the red end of the spectrum and 1.349 for the violet end and an apex angle of 71.8 degrees. If the ray has an angle of incidence of 60.3degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum within the prism? Measure this in degrees to 3 decimal places.
White light is incident from air onto a triangular prism at a 55.0º angle with respect to the normal. The prism has an index of refraction of 1.45 for red light and 1.50 for violet light and the apex angle of the prism is 60º. Take nair=1.00 for all wavelengths.a) What is the angular separation (dispersion angle) of the two ends of the visible spectrum while in the prism? b) What is the angular separation (dispersion angle) of the two ends of the visible spectrum upon exiting the prism?
The index of refraction of a glass plate is 1.52. What is the Brewster’s angle when the plate is: In air, where nair = 1.00 In water, where nwater = 1.333
1.48, n2 1.46 is designed to Q2: A Multimode fiber with core diameter 50um, nl = transmit data over 10 km at wavelength = 6*10 m. a) Calculate the Maximum angle of the incident light into the fiber core which allows the light to propagate through fiber core. b) Find the minimum angle that supports total internal reflection. c) Calculate the bandwidth limitation. d) Calculate number of modes that propagate inside the fiber. e) Find the launching angle (0) of the first three modes of propagation for which the rays successfully travel along the fiber (assume the reflection coefficient phase 8=0°).
A thin oil slick with index of refraction no = 1.5 floats on water (index of refraction nw = 1.33). When a beam of white light strikes this film at normal incidence from air (na = 1), the only enhanced reflected colors are red (Ared = 653 nm) and violet (Aviolet = 392 nm). From this information, deduce the (minimum) thickness of the oil slick. Ruchlom 05.
A sheet of glass with index of refraction, nglass= 1.51, is covered by a thin soap film with index of refraction, nfilm = 1.29. When viewed from directly above (i.e. normal incidence), the soap film strongly reflects red light of wavelength, λred = 690 nm. Write a symbolic expression for the minimum possible film thickness, in terms of λred, nfilm, and/or nglass, then calculate its numeric value. dmin = nm
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.
= Two light rays (1 and 2) travelling in air (na : 1) from source S (1 m above the surface of water) and meet at a point P on a screen (1 m above the surface of water), as shown below. Light ray 2 reflects from the surface of water (nw 1.33). Determine: = i. the phase difference of the light rays at point P, if wavelength of the light is 500 nm. ii. for what wavelengths we will have constructive interference at P? S Ray 1 Ray 2 Air 2 m Water 1 m
In the figure, a point source Sof sound waves lies near a reflecting wall AB. A sound detector D intercepts sound ray R, traveling directly from S. It also intercepts sound ray R, that reflects from the wall such that the angle of incidence 0, is equal to the angle of reflection 62. Assume that the reflection of sound by the wall causes a phase shift of 0.500A. If the distances in the figure are d= 2.20 m, d2 = 20.9 m, and d3 = 11.9 m, what are the (a) lowest and (b) second lowest frequency at which R, and R2 are in phase at D? Take the speed of sound to be 343 m/s. S. R2 R Units (a) Number Units (b) Number