A boy has lost his toy in the pool. He is able to shine a flashlight on the toy and illuminate it at the bottom of the pool. He holds the flashlight at a height h = 1.01 meters above the surface of the water. The light strikes the top surface ofthe water at a distance of L = 2.52 meters from the edge. The depth of the pool is d = 1.73 meters and the index of refraction of the chlorinated water is n = 1.37.LᎾDetermine the angle 01=x=?degreesDetermine the angle 02degreesDetermine the distance x =meters12NOTE: Use the water index of refraction as specified in the text, not one from memory.

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Answered: A boy has lost his toy in the pool. He…

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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A beam of light is incident at 30° on a piece of glass in air. The dispersion of colours spans 1 mm on the bottom surface of the glass as shown below. The thickness of the glass slab is L = 10 cm. The index of refraction for red light is n_red = 1.513. Detemine the index of refraction for violet light. 30° Red. 1 mm n_violet = 1.624 n_violet = 1.511 n_violet = 1.553 O n_violet = 1.651 n_violet = 1.433
Rainbows are caused by dispersion in water droplets. Suppose that water has an index of 1.331 for red light (660 nm), and 1.342 for violet light (410 nm). White light is incident on water with an angle of incidence of 64.8 degrees. Inside the water, the white light is separated into its constituent colors. What is the difference between the angle of refraction of the red light and that of the violet light? This is a measure of the amount of dispersion, in the water. Give your answer in degrees.
A laser beam is incident at an angle of 30.2° to the vertical onto a solution of corn syrup in water. (a) If the beam is refracted to 19.14° to the vertical, what is the index of refraction of the syrup solution?(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution. nm(c) Find its frequency in the solution. Hz(d) Find its speed in the solution. m/s
The figure shows an optical fiber in which a central plastic core of index of refraction n1 = 1.60 is surrounded by a plastic sheath of index of refraction n2 = 1.52. Light can travel along different paths within the central core, leading to different travel times through the fiber. This causes an initially short pulse of light to spread as it travels along the fiber, resulting in information loss. Consider light that travels directly along the central axis of the fiber and light that is repeatedly reflected at the critical angle along the core-sheath interface, reflecting from side to side as it travels down the central core. If the fiber length is 370 m, what is the difference in the travel times along these two routes? NUmber i 99 Units ns
An optical coating with an index of refraction of 1.23 is applied to glass with an index of refraction of 1.50. If the thickness of this coating is 184nm, what wavelength(s) of visible light in air are most strongly reflected from this surface? Visible wavelengths range from 350nm to 700nm.
Jackson is standing in air and is shining a flashlight at a 62-cm-thick slab of glass. His beam makes an angle of 83.5 degrees with the surface of the glass. The glass is a dispersive medium, and has an index of refraction of 2.1 for red light and 2.3 for purple light. Find the distance between the point where the red light leaves the slab and where the purple light leaves it. [The angles of refraction are small, so make the appropriate approximation when calculating their sines.]
A light ray is incident at 45° on a glass block immersed inside a liquid of refractive index nL = 1.33 as shown in the figure below. In this configuration, the refractive ray skims the bottom surface. Determine the refractive index of the glass, ng. ng 45° ng = 1.63 ng = 1.7 ng = 1.48 ng = 1.51 O ng = 1.57
A ray of monochromatic light is reflected and refracted, as shown in the figure, in the point “A” at the interface between material 1 with refractive index n1 = 1.54 (chloride of sodium) and material 2 with refractive index n2 = 1.77 (sapphire). The incident lightning forms an angle of 55 ° to the interface. The light that penetrates material 2, at point “A”, arrives then to point “B” at the interface between material 2 and material 3, which is air (n3 = 1), the interface through "B" being parallel to the interface through "A". In "B" part of the light is reflected and the rest enters the air. What is the angle of refraction in air? a) 62.04 ° b) 55 ° c) 29.93 ° d) 35 °
A laser beam is incident at an angle of 30.2° to the vertical onto a solution of corn syrup in water. (a) If the beam is refracted to 19.20° to the vertical, what is the index of refraction of the syrup solution? (b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution. nm (c) Find its frequency in the solution. Hz (d) Find its speed in the solution. m/s
A laser beam is incident at an angle of 30.0° from the vertical onto a solution of corn syrup in water. The beam is refracted to 19.24° from the vertical. (a) What is the index of refraction of the corn syrup solution? Assume that the light is red, with vacuum wavelength 632.8 nm. Find its (b) wavelength, (c) frequency, and (d) speed in the solution.
A thin coating is applied to a lens to protect against UV light. The coating strongly reflects light of wavelength 384 nm and strongly transmits light of wavelength 528 nm (i.e. visible light, near the middle of the visible spectrum.) The index of refraction of the coating material is 1.58 and the lens is made of a material with index 1.48. Find the smallest possible thickness for the coating.
1. A flashlight held 1.3 m above the surface of a water tank shines a beam of light on the water (index of refraction n 1.33). The light hits the water 2.7 m away from the edge of the tank, where the flashlight is held. The water tank is 2.1 m deep. (a) What is the incident angle relative to the normal? (b) What is the transmitted angle relative to the normal? (c) Where does the light ray hit the bottom of the water tank, mea- sured from the edge of the tank where the flashlight is held? light ray 2.7 m d=? = water tank 1.3 m 2.1 m

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