**Problem Statement on Light Reflection with Planar Mirrors**Two planar mirrors are positioned such that their edges are in contact, and the angle between their surfaces is \( \alpha \), where \( 0^\circ < \alpha < 90^\circ \). An incident light ray strikes the first mirror at an angle of \( 31.3^\circ \) relative to the normal of that surface. It then reflects off the second mirror at an angle of \( 17.3^\circ \) relative to the normal of that surface. What is the angle \( \alpha \)?*Hint: Drawing a diagram of this setup will be helpful!*

Answered: Image /qna-images/answer/a5e0f172-fb27-4e8e-9ad5-9cdf6318ed79.jpg

Answered: Two planar mirrors are positioned such…

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)...

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(b) How does the index of refraction relate to the speed of light in a medium? If the index of refraction of water is 1.33, calculate the speed of light in water. Give one application of total internal reflection.
Light propagates from air to oil (refracti0on oil n oil =1.49) with an angle of 36° with the surface of oil. The light propagates through oil/water (refraction index n water = 1.33). What is the angle of this light ray when it enters? (a) the oil, and then (b) the water? (c) What would be the refracted angle if the ray entered the water directly? (d) What would be the speed of the light in oil and water? Oil Air Water 36°
A laser beam in air is incident on a liquid at an angle of 53◦ with respect to thenormal. The laser beam’s angle in the liquid is 35◦. What is the liquid’s index ofrefraction?
A thick-walled wine goblet can be considered to be a hollow glass sphere with an outer radius of 4.10 cmcm and an inner radius of 3.60 cmcm. The index of refraction of the goblet glass is 1.50. (a) A beam of parallel light rays enters the side of the empty goblet along a horizontal radius. Where, if anywhere, will an image be formed? (b) The goblet is filled with white wine (nn = 1.37). Where is the image formed? Use the image from the previous part as the object for the second surface (the inner wall of the same side of the goblet) and find the position of the second image. Express your answer with the appropriate units.
A ray of light travelling through air encounters a 1.7-cm-thick sheet of glass at a 45 ∘ angle of incidence. Assume n = 1.5. How far does the light ray travel inside the glass before emerging on the far side?Express your answer in centimeters.
Use Snell's law to find the angle that a beam of light makes with the normal to a class surface, entering from air with angle 44 in degrees, after it refracts and is traveling inside the glass. Assume the index of refraction is 1.5
A ray of light strikes a flat glass block at an incidence angle of 8₁ = 39.8°. The glass is 2.00 cm thick and has an index of refraction that equals n = 1.65. 2.00 cm (a) What is the angle of refraction, 82, 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, 83, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) (c) with what angle of refraction, 084, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.)
The Sun appears at an angle of 48.1° above the horizontal as viewed by a dolphin swimming underwater. What angle does = 1.333. Enter an answer between 0° and the sunlight striking the water actually make with the horizon? (Assume nwater 90°.) O
(a) The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 45.0°? See figure below. Visible light O Angular spread 0 Deviation of red light B V Screen R (b) What If? What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?
(b). A ray of light passes from glass to water. The angle of incidence in the glass is 35°, take the refractive indices of glass and water to be 1.52 and1.33, respectively. (i). What is the angle of refraction in the water? (ii). At what angle will total internal reflection occur between the glass-water interface?
The figure shows a refracted light beam in linseed oil making an angle of ? = 15.8° with the normal line NN'. The index of refraction of linseed oil is 1.48. a) Determine the angle ?. b) Determine the angle ?'.
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.

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