PHY 112 problem set 5-Lesson 10 - Sofia Villamil Quintanar

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Rio Salado Community College *

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112

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Physics

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Dec 6, 2023

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Lesson 10 Problem Set 5 Name: Sofia Villamil Quintanar Optics PHY 112 Section number: 26190 1. Light traveling through air is incident on several different glass objects. Continue the light ray through each object and back out into the air showing appropriate refraction. (2 pts each) 2. A light ray traveling through a material with an index of refraction of 1.6 is incident on a material with an index of refraction of 1.2 If the incident angle is 25°, what is the angle of refraction? (4 pts) N1 = 1.6 N2 = 1.2 Theta1 = 25. N1sin(theta)1 = n2sin(theta)2 1.6 x sin 25 = 1.2 x sin 2 = 0.67618 = 1.2 x sin 2 Sin theta 2 = 0.563483 = theta 2 = asin (0.563483) Theta 2 = 34.297 degrees 3. A light ray traveling through a material with an index of refraction of 1.6 is incident on a material with an index of refraction of 1.2 . What is the critical angle for this boundary? (4 pts) n1sin(theta)1 = n2sin(theta)2 = n1sin(theta)1 = n2sin(theta)90 theta = sin-1(1.2)/1.6 = 48.6 degrees b. What is the speed of light as it travels through the material with the index of n 2 ? (3 pts) V = c/n = V = (3x10^8)/(1.20 = 2.5 x 10^8 m/s
4. Locate and draw the image of the arrow. Create a ray diagram that shows how the observer views the image. Highlight the section of the mirror the observer uses in order to view the image. (6 pts) 5. A barrier is placed between a light source and a mirror as shown below. Use ray diagrams to determine which observers, if any, would be able to view an image of the light source in the mirror. Circle observers that can see an image of the light source. Cross out observers who cannot. Include a short explanation for each of your answers. (8 pts) mirror observer Observer A Observer B Observer C barrier mirror Image Object
6. An underwater diver observes that the angle of the sun relative to the perpendicular appears to be 30 relative the vertical. a) Sketch a and label a ray diagram illustrating the scenario (3 pts) b) If water has an index of refraction of 1.3 and air has an index of refraction of 1.0, what is the true angle of the sun relative to the vertical? (4 pts) Angle of refraction: 30 degrees N1sin(theta)1 = n2sin(theta)2 (1.0)(sin(theta)1) = (1.3)(sin30) Theta = 40.5 degrees c) Consider a light ray that travels from the sun to be observed by the underwater diver. When the incident ray hits the air-water barrier, some of the light will reflect off the surface of the water. What is the angle of reflection? (2 pts) The angle of reflection = the angle of incidence Theta = 40.5 degrees θ θ image
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