Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 48P
To determine
The distance between the beam formed by reflection off the top surface and the bottom surface of the glass.
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A light ray in air is incident on an air to glass boundary at an angle of 45.0o and is refracted in the glass of 30.0o with the normal. What is the index of refraction of the glass?
A light ray in air is incident on an air-to-glass boundary at an angle of 30.0º and is refracted in the glass at an angle of 21.0º with the normal. Find the index of refraction of the glass.
A ray of light strikes the midpoint of one face of an equiangular (60°-60°-60°) glass prism (n = 1.5) at an angle of incidence of 41.8°.
(a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.
First surface:
incidence
Recheck.the.problem statement to find the angle of incidence. °
refraction
US Enter a number. Ofind the angle of refraction from the angle of incidence. °
Second surface:
incidence
Orefraction =
(b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces.
(first surface)
reflection =
° (second surface)
reflection
Chapter 31 Solutions
Physics for Scientists and Engineers
Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10P
Ch. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - Prob. 14PCh. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - Prob. 29PCh. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - Prob. 33PCh. 31 - Prob. 34PCh. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - Prob. 37PCh. 31 - Prob. 38PCh. 31 - Prob. 39PCh. 31 - Prob. 40PCh. 31 - Prob. 41PCh. 31 - Prob. 42PCh. 31 - Prob. 43PCh. 31 - Prob. 44PCh. 31 - Prob. 45PCh. 31 - Prob. 46PCh. 31 - Prob. 47PCh. 31 - Prob. 48PCh. 31 - Prob. 49PCh. 31 - Prob. 50PCh. 31 - Prob. 51PCh. 31 - Prob. 52PCh. 31 - Prob. 53PCh. 31 - Prob. 54PCh. 31 - Prob. 55PCh. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - Prob. 58PCh. 31 - Prob. 59PCh. 31 - Prob. 60PCh. 31 - Prob. 61PCh. 31 - Prob. 62PCh. 31 - Prob. 63PCh. 31 - Prob. 64PCh. 31 - Prob. 65PCh. 31 - Prob. 66PCh. 31 - Prob. 67PCh. 31 - Prob. 68PCh. 31 - Prob. 69PCh. 31 - Prob. 70PCh. 31 - Prob. 71PCh. 31 - Prob. 72PCh. 31 - Prob. 73PCh. 31 - Prob. 74PCh. 31 - Prob. 75PCh. 31 - Prob. 76PCh. 31 - Prob. 77PCh. 31 - Prob. 78PCh. 31 - Prob. 79PCh. 31 - Prob. 80PCh. 31 - Prob. 81PCh. 31 - Prob. 82PCh. 31 - Prob. 83PCh. 31 - Prob. 84P
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- A light ray initially in water enters a transparent substance at an angle of incidence of 37.0, and the transmitted ray is refracted at an angle of 25.0. Calculate the speed of light in the transparent substance.arrow_forwardLight rays from the Sun make a 30° angle to the vertical when seen from below the surface of a body of water. At what angle above the horizon is the Sun?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_forward
- A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.50) at ail angle of 30.0 with respect to the normal (Fig. P22.18). (a) Find the angle of refraction at the lop surface. (b) Find the angle of incidence at the bottom surface and the refracted angle. (c) Find the lateral distance d by which the light beam is shifted. (d) Calculate the speed of light in the glass and (e) the time required for the light to pass through the glass block. (f) Is the travel time through the block affected by the angle of incidence? Explain.arrow_forwardElectric room heaters use a concave mirror to reflect infrared (IR) radiation from hot coils. Note that IR radiation follows the same law of reflection as visible light. Given that the mirror has a radius of curvature of 50.0 cm and produces an image of the coils 3.00 m away from the mirror, where are the coils?arrow_forwardA 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?arrow_forward
- 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? mmarrow_forwardWhat is the angle of incidence on an air-to-glass boundary if the angle of refraction in the glass (n= 1.52) is 25º?arrow_forwardA piece of glass (n=1.50) is submerged under water (n=1.33). A ray of light starts in the glass and hitsthe surface between the glass and water at an angle 23° from the normal to the surface (while still inthe glass). What is the angle between the light path and the normal when the ray enters the water?arrow_forward
- Light hits an air-glass boundary with an angle of incidence of 62 0 . What is the angle of refraction of the light ray in glass?arrow_forwardAn aquarium is filled with water to a height of h A ray of light passes through the air above (n1 down into the water (n2 01 = 24°. It reflects off the bottom surface of the glass and travels upward back toward the water-air boundary. When 7.5 cm. 1.00) and 1.33) with an angle of incidence A this ray of light emerges from the water and back into the air, how far will it be from the point where it first entered the water?arrow_forward
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