Physics For Scientists And Engineers
6th Edition
ISBN: 9781429201247
Author: Paul A. Tipler, Gene Mosca
Publisher: W. H. Freeman
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Chapter 31, Problem 44P
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The equation for numerical aperture.
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A ray of light passes from air through dense flint glass and then back into air. The angle of incidence on the first glass surface is 67.0°.
The thickness of the glass is 7.10 mm; its front and back surfaces are parallel. How far is the ray displaced as a result of traveling
through the glass?
mm
The glass core of an optical fiber has index of refraction 1.60. The index of refraction of the cladding is 1.48. What is the maximum angle between a light ray and the wall of the core if the ray is to remain inside the core?
(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 54.0°?
(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°?
Chapter 31 Solutions
Physics For Scientists And Engineers
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- A layer of liquid B floats on liquid A. A ray of light begins in liquid A and undergoes total internal reflection at the interface between the liquids when the angle of incidence exceeds 37.4°. When liquid B is replaced with liquid C, total internal reflection occurs for angles of incidence greater than 53.8°. Find the ratio ng/nc of the refractive indices of liquids B and C. Number i Unitsarrow_forwardIn the figure, light is incident at angle 8₁ = 39° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n₁ = 1.28, n₂ = 1.38, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? 18₁ Air m n₂ 173 naarrow_forwardK A light ray with a wavelength of 589 nanometers (produced by a sodium lamp) traveling through air makes an angle of = to find the angle of refraction, V2 sin 0₁ V₁ y incidence of 55° on a smooth, flat slab of dense flint glass. Use Snell's Law, sin 02 where the index of refraction is 1.66. ... The angle of refraction is approximately degrees. (Type an integer or decimal rounded to two decimal places as needed.)arrow_forward
- 53 SSM www ILW In Fig. 33-53, a ray is incident on one face of a triangular glass prism in air. The angle of incidence e is chosen so that the emerging ray also makes the same angle e with the nor- mal to the other face. Show that the index of refraction n of the glass prism is given by sin ( + 6) sin o where o is the vertex angle of the prism and is the deviation angle, the total angle through which the beam is turned in passing through the prism. (Under these conditions the deviation angle u has the smallest possible value, which is called the angle of mini- mum deviation.) Figure 33-53 Problems 53 and 64.arrow_forwardThe refractive index of a transparent material can be determined by measuring the critical angle when the solid is in air. If 0c = 20° what is the index of refraction of the material? с Units no units required The index of refraction, n = What will be the critical angle when the same material is immersed in a medium with the index of refraction 1.17? The critical angle, 0c = Units degarrow_forwardAs shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction ?2for the light in the olive oil is 33.4°, determine the angle of incidence ?1in air and the angle of refraction ?3in water. The index of refraction for olive oil is 1.47.?1 = °?3 = °arrow_forward
- The light ray illustrated in Figure passes through the glass block of index of refraction n2-1.50, and 01=30°, it is shifted laterally by the distance d. Find the value of d, when the thickness of the glass t= 2 cm? 8.arrow_forwardThe index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. A) 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 51.0°? B) 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°?arrow_forwardA ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction? Calculate to 1decimal.arrow_forward
- A light beam reflects off two parallel reflecting surfaces that are = 202 cm long and separated by a distance of s = 65.0 cm. If the beam of light enters this region as shown, with the angle 0 = 25.1°, determine the following. Ꮎ (a) the number of times the light beam reflects off the left surface Have you redrawn the figure with all angles and distances labeled? How is the entrance angle related to the angle of Incidence and the angle of reflection for the mirrors? times (b) the number of times the light beam reflects off the right surface timesarrow_forwardIn the figure, light is incident at angle 01 = 37.0° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28, n2 = 1.40, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? Air N2 n4 (a) 85: %3D Number Units (b) 84 Number Unitsarrow_forwardLight travels from air into an optical fiber with an index of refraction of 1.44. If the angle of incidence on the end of the fiber is 35o, what is the angle of refraction inside the fiber?arrow_forward
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