In Fig. 1, light is incident from air at an angle 01 = 50° on a stack of transparent materials. Part of the light travels down through the layers, while the other part of it reflects back into the air. If ni = 1.30, n2 = 1.40, n3 = 1.32, and n4 = 1.45, (a) what is the value of 03 in the air? (b) what is the value of 02 in the bottom material? air 71 n2 13 14 Figure 1

In Fig. 1, light is incident from air at an angle 01 = 50° on a stack of transparent materials. Part of the light travels down through the layers, while the other part of it reflects back into the air. If ni = 1.30, n2 = 1.40, n3 = 1.32, and n4 = 1.45, (a) what is the value of 03 in the air? (b) what is the value of 02 in the bottom material? air 71 n2 13 14 Figure 1

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

Problem 9: A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Part (a) Choose an expression for the angle (relative to the normal to the surface) for the ray in the water, θ2. Part (b) Numerically, what is the angle in degrees?
The drawing shows a ray of light traveling through three materials whose surfaces are parallel to each other. The refracted rays (but not the reflected rays) are shown as the light passes through each material. A ray of light strikes the a-b interface at a 50.0° angle of incidence. The index of refraction of material a is na = 1.20. The angles of refraction in materials b and care, respectively, 40.4° and 58.2°. Find the indices of refraction in these two media. nb = Number nc = Number i i Units Units Q b > > с
Two mirrors are held at an angle of Ψ = 102 degrees with respect to one another. A ray of light is incident of the first mirror at an angle of θ. When it reflects off of the mirror to the next it makes an angle of Φ = 11.5 degrees. Ψ = 102 Φ = 11.5 Part (a) Write an expression for the angle of incidence θ. θ = Part (b) Numerically what is this angle? θ =
A ray of light is incident on an air/water interface. The ray makes an angle of theta= 33 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Numerically, what is the angle in degree?
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
The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?
In the figure, light is incident at angle θ1 = 37˚ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.26, n2 = 1.42, n3 = 1.32 and n4 = 1.45, what is the value of (a) θ5 and (b) θ4?
The absolute tolerance is + 0.1 In the figure, light is incident at angle 01= 38° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n = 1.30, n2 = 1.40, n3 = 1.32 and n4 = 1.43, what is the value of (a) 05 and (b) 04? Air 14 (a) O5 = Number Units (b) 04 = Number Units
A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 60° with the normal, and the refracted beam make an angle of 50° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s) Provide the answer: x 108 m/s
A ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. (a) What is the angle of refraction, ?2,that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) b.)With what angle of incidence, ?3,does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.)
A light ray in a vacuum is an incident on an equilateral triangular prism. It makes an angle of 13.2 degrees with the normal of the prism's surface. It makes an angle of 12.4 degrees with the normal after entering the prism. What is the angle it makes with the far side's normal after exiting the prism?
Problem 13: A ray of light is incident on an air/water interface. The ray makes an angle of 01 = 22 degrees with respect to the normal of the surface. The index of the air is n = 1 while water is n₂ = 1.33. Part (b) Numerically, what is the angle in degrees? 0₂=1 Part (a) Choose an expression for the angle (relative to the normal to the surface) for the ray in the water, 02. Answer Saved Successfully! 8₂=asin (sin()) sin() cos() cotan() asin() atan() acotan() cosh() sinh() tanh() cotanh() Degrees O Radians Submit tan() acos() E 4 5 6 1 2 3 () Hint * Feedback 7 8 9 HOME 1 + 0 VO BACKSPACE DEL CLEAR - I give up! . ni END n2 0₁ 02₂