Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 81P
(a)
To determine
The index of refraction.
(b)
To determine
The minimum angle of incidence for total internal reflection.
(c)
To determine
The angle of refraction.
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Light travels from air into an optical fiber with an index of refraction of 1.44.
(a) If the angle of incidence on the end of the fiber is 22 degree, what is the angle of refraction inside the fiber?
(b) Light traveling through an optical fiber (n=1.44) reaches the end of the fiber and exits into air. (a) If the angle of incidence on the end of the fiber is 30 degree, what is the angle of refraction outside the fiber?
(c) Calculate the critical angle of optical fiber and air interface
Consider a layer of Oil, Glass, and Air where the oil/glass boundary is parallel to the glass/air boundary. Let the index of refraction for the glass be 1.55 and the index of refraction for the oil to be 1.31. At what angle relative to the normal should a ray of light be directed upon the oil/glass interface such that it strikes the glass/air interface at the critical angle?
A light ray in air is incident on an air-to-glass boundary with an angle of incidence of 45.0° with the normal. It is refracted in the glass with an angle of refraction of 22.0° with the normal. What is the index of refraction of the glass?
Chapter 31 Solutions
Physics for Scientists and Engineers
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- Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.arrow_forwardThe index of refraction for water is about 43. What happens as a beam of light travels from air into water? (a) Its speed increases to 43c, and its frequency decreases. (b) Its speed decreases to 34c, and its wavelength decreases by a factor of 34. (c) Its speed decreases to 34c, and its wavelength increases by a factor of 43. (d) Its speed and frequency remain the same. (e) Its speed decreases to 34c, and its frequency increases.arrow_forwardLight in air is incident on a transparent glass slab. The angle of incidence is 35°.The slab is thenimmersed in a pool of liquid. When the angle of incidence for the light striking the slab is 20.3°, theangle of refraction for the light entering the slab is the same as when the slab is in a vacuum. What isthe index of refraction of the liquid?arrow_forward
- A parallel sided plate of glass with an index of refraction of 1.60 is in contact with the surface of water (n=1.33) in a tank. A ray coming from above makes an angle of incidence of 30.0° with the normal to the top surface of the glass plate. (a) What is the speed of light in the glass plate? (b) What is the critical angle between the glass and the water? (c) What angle does this ray make with the normal in the water? (d) Include a diagram of the situation. [Diagram 3 pts.]arrow_forwardThe critical angle for total internal reflection at a liquid-air interface is 42.5◦.at. If a ray of light traveling in the liquid has an angle of incidence at the interface of 35◦,what angle does the ray refracted in air make with the normal?b. If a ray of light traveling through air has an angle of incidence at the interfaces of 35◦, what angle does the ray refracted in the liquid make with the normal?arrow_forwardA light ray coming from inside an unknown glass is traveling to air (n air=1.00) and hits the glass-air interface at an angle of 60 degrees from the interface. Which of the following values is a possible index of refraction of the glass if no light is transmitted in air?arrow_forward
- A ray of light in water (n = 1.33) strikes a submerged glass block at an angle of incidence of 55.0 . The angle of refraction for the light that enters the glass is 37.0 . Find (a) the index of refraction of the glass and (b) the speed of light in the glass.arrow_forwardThe critical angle for total internal reflection at a liquid–air interface is 42.5 . (a) If a ray of light traveling in the liquid has an angle of incidence at the interface of 35.0 , what angle does the refracted ray in the air make with the normal? (b) If a ray of light traveling in air has an angle of incidence at the interface of 35.0 , what angle does the refracted ray in the liquid make with the normal?arrow_forwardA light ray travels inside a horizontal plate of glass, striking its upper surface at an angle of incidence of 60°. This ray is totally internally reflected at the glass-air boundary. A liquid is then poured on top of the glass. What is the largest index of refraction that the liquid could have such that the ray is stilltotally internally reflected?arrow_forward
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