3.3 A beam of light crosses the interface between two media with an angle of incidence of 34.0° and an angle of refraction of
24.6°. The second medium has an index of refraction of 1.70. What is the index of refraction of the first medium?3.4 A double-paned window consists of two parallel panes of glass with an air gap between them. The outside pane has an index
of refraction of 1.61 while the inside layer has an index of refraction of 1.51. If light enters the window from outside at 21.0° to
the normal, at what angle to the normal does it exit the window on the inside?°
3.5 A beam of light travels from one medium to another, with the incident beam making an angle of 19.0° from the normal. The
beam then refracts at an angle of 32.0°. How many times faster does the light travel in the second medium than the first?3.6 A glass of water (n = 1.33) has a layer of vegetable oil (n = 1.47) floating on top. A beam of light enters the oil from above the
glass with an incident angle of 57.0°. What is the refraction angle of the light leaving the oil-water interface?
°
3.7 A ring consists of a diamond (n = 2.42) and another jewel mounted side by side on a flat plate. Their top surfaces are also
parallel to the plate. When laser light is aimed at the ring at 80.0° to the normal, the refraction angle in the diamond is 11.1°
less (from the normal) than the refraction angle in the other jewel. What is the index of refraction of this other jewel?Section 7 - Interactive problem: helicopter and submarines
7.1 Use the simulation in the interactive problem in this section to calculate the angles of incidence required to hit the (a) left and
(b) right submarine.
(a) °
(b) °Section 8 - Total internal reflection
8.1 Find the critical angle for a ray of yellow light traveling from diamond (n = 2.42) into air (n = 1.00).
°
8.2 The critical angle for light traveling from a certain plastic into air is 35.5°. What is the index of refraction of the plastic?8.3 You are constructing a fiber optic cable. You wish to surround the core of the cable with a cladding material such that the
critical angle to go from the core to the cladding is 73.0°. If the index of refraction of the core material is 1.61, what must the
index of refraction of the cladding material be?8.4 A point source of light is at the bottom of a koi pond, at a depth of 0.525 meters. What is the radius of the circle of light
formed on the water's surface? Take the index of refraction of water to be 1.33. Hint: Some of the light emitted experiences
total internal reflection inside the water.
mSection 9 - Dispersion and prisms
9.1 A red ray and a blue ray each pass from air into silica at an incident angle of 29.00°. How large is the angle between the two
refracted rays? Red light has an index of refraction in silica of 1.459 and blue light has an index of 1.467.
°
9.2 A narrow ray of white light traveling in air enters a glass block at an incident angle of 40.00°. The white light consists of a
range of wavelengths. For these colors, the indices of refraction for the glass range from 1.512 to 1.531. Find the angular
width of the ray inside the block.
°(^606) Copyright 2000-2007 Kinetic Books Co. Chapter 32 Problems