A layer of liquid B floats on liquid A. A ray of light begins in liquid A and undergoes total internal reflection at the interface between the liquids when the angle of incidence exceeds 37.3°. When liquid B is replaced with liquid C, total internal reflection occurs for angles of incidence greater than 47.3°. Find the ratio ng/nc of the refractive indices of liquids B and C.

A layer of liquid B floats on liquid A. A ray of light begins in liquid A and undergoes total internal reflection at the interface between the liquids when the angle of incidence exceeds 37.3°. When liquid B is replaced with liquid C, total internal reflection occurs for angles of incidence greater than 47.3°. Find the ratio ng/nc of the refractive indices of liquids B and C.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A beam of light is emitted 10.0 cm beneath the surface of a liquid and strikes the surface 6.0 cm from the point directly above the source. If total internal reflection occurs, and this beam is traveling at the critical angle for total internal reflection, what is the index of refraction of the liquid? Assume that air is above the liquid.
A layer of oil (n = 1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 62.8 degrees, and the angle of refraction is 62.0 degrees. What is the index of refraction of the unknown liquid?
Using filters, a technician has created a beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of 0, = 30.2°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction N 400 nm = 1.53 n 500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) O 400 nm (ii) O500 nm (i) O650 nm
Using filters, a physicist has created a beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). He aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of 0, = 43.8°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n 400 nm = 1.53 n 500 nr = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) O400 nm (ii) O500 nm (iii) O650 n O nm
A beaker with a mirrored bottom is filled with a liquid whose index of refraction is nliq = 2.37. A light ray from air strikes the top surface of the liquid at an incident angle θin = 72.9° from the normal line to the liquid surface, as shown in the figure. What is the refraction angleθ1 of the light ray as it enters the liquid (in degrees; remember to use the scientific notation of numbers)?
A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.
Light in air is incident on a transparent glass slab. The angle of incidence is 34.3°. The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the slab is 21.7°, the angle of refraction for the light entering the slab is the same as when the slab was in air. What is the refractive index of the liquid? Take n = 1 for air
A ray of light is incident in air on a block of a transparent solid whose index of refraction is n. If n = 1.38, what is the largest angle of incidence θa for which total internal reflection will occur at the vertical face
Using filters, a physicist has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of ?1 = 31.5°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) ?400 nm (ii) ?500 nm (iii) ?650 nm
Light in a vacuum is incident on a transparent glass slab. The angle of incidence is 31.1° . The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the slab is 24.8°, the angle of refraction for the light entering the slab is the same as when the slab was in a vacuum. What is the index of refraction of the liquid?
A ray of light hits the surface between air and an unknown material at an angle A of 58.8°. It travels through the unknown material at an angle B of 38.5° relative to the vertical. What is the index of refraction of the material?
Consider a layer of Oil, Glass, and Air where the oil/glass boundary is parallel to the glass/air boundary. Let the index of refraction for the glass be 1.48 and the index of refraction for the oil to be 1.25. At what angle relative to the normal should a ray of light be directed upon the oil/glass interface such that it strikes the glass/air interface at the critical angle?