As shown in the figure, white light enters a 45-90-45 crown glass prism at the vertical face. Part of this light refracts at the slanted face into the surrounding material and the rest experiences total internal reflection and exits the prism at the horizontal base. The colors of light that emerge from the slanted face may be chosen by varying the index of refraction of the material surrounding the prism. Determine the required index of refraction of the surrounding material for each of the following cases. (a) Only red, orange and yellow light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) (b) All colors except violet, blue, and green light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) The table below shows the different colors of light, their wavelength in a vacuum, and the index of refraction in crown glass. White light Color Red Orange Yellow Green Blue Violet 45 #₁ 11₂ All other colors Orange Red Vacuum Wavelength Index of Refraction in (nm) Crown Glass (nm) 660 1.512 610 580 550 470 410 1.514 1.518 1.519 1.524 1.530

As shown in the figure, white light enters a 45-90-45 crown glass prism at the vertical face. Part of this light refracts at the slanted face into the surrounding material and the rest experiences total internal reflection and exits the prism at the horizontal base. The colors of light that emerge from the slanted face may be chosen by varying the index of refraction of the material surrounding the prism. Determine the required index of refraction of the surrounding material for each of the following cases. (a) Only red, orange and yellow light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) (b) All colors except violet, blue, and green light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) The table below shows the different colors of light, their wavelength in a vacuum, and the index of refraction in crown glass. White light Color Red Orange Yellow Green Blue Violet 45 #₁ 11₂ All other colors Orange Red Vacuum Wavelength Index of Refraction in (nm) Crown Glass (nm) 660 1.512 610 580 550 470 410 1.514 1.518 1.519 1.524 1.530

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

One of the world's largest aquaria is the Monterey Bay Aquarium. The viewing wall is made of acrylic and is 0.33 m thick, and the tank holds 1.2 million gallons of water. A ray of light is directed into the plastic from air at an angle of a = 75°.The indices of refraction for air, acrylic, and seawater are listed on the figure. Air Acrylic Seawater 1.00 1.50 1.37 ਅਰ 1) Calculate the angle that the ray will make when it enters the plastic. (Express your answer to three significant figures.) Submit 2) Calculate the angle that the ray will make when it enters the seawater. (Express your answer to three significant figures.) Submit
A block of glass has an index of refraction equal to n_g=1.68. The glass is surrounded by oil which has an index of refraction of n_o=1.28. What is the largest incident angle (deg) possible in the glass before the ray undergoes total internal reflection?
A light ray travels inside a block of sodium fluoride that has index of refraction n = 1.33 as shown in the figure. The ray strikes the vertical wall at the critical angle, totally reflects, and then emerges into the air above the block.
Using a laser, the angle of incidence and angle of refraction are measured for a sample of fused quartzimmersed in ethanol. The angle of incidence of the light entering the fused quartz from the ethanol is 38°. Thelight then refracts 35° from the normal when it enters the quartz. If the index of refraction of ethanol is 1.36,what is the refractive index of the fused quartz?
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
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
An object is placed 10.1 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 8 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 25 mm from the center of the lens.
An optical fiber is made of a clear plastic for which the index of refraction is 1.5. For what angles with the surface does light remain contained within the fiber?
A ray of white light traveling through air enters a block of glass that has an index of refraction of 1.44 for the red end of the spectrum and 1.46 for the violet end. If the ray has an angle of incidence of 60.0 degrees with respect to the normal of the interface boundary, what's the angular separation between the red and violet ends of the spectrum within the glass?
An object is placed 9.50 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 4 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 23 mm from the center of the lens.
Light is incident normally on the short face of a 30-60-90° prism. A drop of liquid is placed on the hypotenuse of the prism. If the index of refraction of the prism is 1.56, find the maximum index that the liquid may have for the light to be totally reflected.