Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 35, Problem 12OQ
To determine
The comparison of the speed of lights of colors
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The intensity of light I through a lake at a depth of x meters is given by the following formula.
dI/dx = (-2.31)I
a.) At what depth is the intensity of the light half that of the intensity at the surface, I00?
b.) At 5 meters deep, what is the intensity of the light as a fraction of I0?
c.) How many meters deep will the intensity of light be 1 percent of the intensity of the light at the surface?
Remember that the depth at the surface is x = 0.
What is the speed of light traveling from air to a medium of refractive index n=1.5?
(Speed of light in vacuum is 3.0 × 108 m/s)
O 3.0 x 108 m/s.
O 1.5 x 108 m/s.
O 2.0 × 108 m/s.
O 0.67 x 108 m/s.
O 0.75 x 108 m/s.
The index of refraction of diamond is 2.42. By definition, this means that a given wavelength of light
travels:
O 2.42 times faster in air than it does in diamond
O 2.42 times faster in a vacuum than it does in diamond
2.42 times faster in diamond than it does in a vacuum
2.42 times faster in a diamond that it does in air
Chapter 35 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 35.4 - Prob. 35.1QQCh. 35.5 - If beam is the incoming beam in Figure 34.10b,...Ch. 35.5 - Light passes from a material with index of...Ch. 35.7 - Prob. 35.4QQCh. 35.8 - Prob. 35.5QQCh. 35 - Prob. 1OQCh. 35 - Prob. 2OQCh. 35 - Prob. 3OQCh. 35 - Prob. 4OQCh. 35 - Prob. 5OQ
Ch. 35 - Prob. 6OQCh. 35 - Prob. 7OQCh. 35 - Prob. 8OQCh. 35 - Prob. 9OQCh. 35 - Prob. 10OQCh. 35 - Prob. 11OQCh. 35 - Prob. 12OQCh. 35 - Prob. 13OQCh. 35 - Prob. 14OQCh. 35 - Prob. 15OQCh. 35 - Prob. 1CQCh. 35 - Prob. 2CQCh. 35 - Prob. 3CQCh. 35 - Prob. 4CQCh. 35 - Prob. 5CQCh. 35 - Prob. 6CQCh. 35 - Prob. 7CQCh. 35 - Prob. 8CQCh. 35 - Prob. 9CQCh. 35 - Prob. 10CQCh. 35 - Prob. 11CQCh. 35 - (a) Under what conditions is a mirage formed?...Ch. 35 - Prob. 13CQCh. 35 - Prob. 14CQCh. 35 - Prob. 15CQCh. 35 - Prob. 16CQCh. 35 - Prob. 17CQCh. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - In an experiment to measure the speed of light...Ch. 35 - As a result of his observations, Ole Roemer...Ch. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7PCh. 35 - Prob. 8PCh. 35 - Prob. 9PCh. 35 - Prob. 10PCh. 35 - Prob. 11PCh. 35 - A ray of light strikes a flat block of glass (n =...Ch. 35 - Prob. 13PCh. 35 - Prob. 14PCh. 35 - Prob. 15PCh. 35 - Prob. 16PCh. 35 - Prob. 17PCh. 35 - Prob. 18PCh. 35 - When you look through a window, by what time...Ch. 35 - Two flat, rectangular mirrors, both perpendicular...Ch. 35 - Prob. 21PCh. 35 - Prob. 22PCh. 35 - Prob. 23PCh. 35 - Prob. 24PCh. 35 - Prob. 25PCh. 35 - Prob. 26PCh. 35 - Prob. 27PCh. 35 - Prob. 28PCh. 35 - Prob. 29PCh. 35 - Prob. 30PCh. 35 - Prob. 31PCh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - A submarine is 300 m horizontally from the shore...Ch. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Assume a transparent rod of diameter d = 2.00 m...Ch. 35 - Consider a light ray traveling between air and a...Ch. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51APCh. 35 - Prob. 52APCh. 35 - Prob. 53APCh. 35 - Prob. 54APCh. 35 - Prob. 55APCh. 35 - Prob. 56APCh. 35 - Prob. 57APCh. 35 - Prob. 58APCh. 35 - Prob. 59APCh. 35 - A light ray enters the atmosphere of a planet and...Ch. 35 - Prob. 61APCh. 35 - Prob. 62APCh. 35 - Prob. 63APCh. 35 - Prob. 64APCh. 35 - Prob. 65APCh. 35 - Prob. 66APCh. 35 - Prob. 67APCh. 35 - Prob. 68APCh. 35 - Prob. 69APCh. 35 - Prob. 70APCh. 35 - Prob. 71APCh. 35 - Prob. 72APCh. 35 - Prob. 73APCh. 35 - Prob. 74APCh. 35 - Prob. 75APCh. 35 - Prob. 76APCh. 35 - Prob. 77APCh. 35 - Prob. 78APCh. 35 - Prob. 79APCh. 35 - Prob. 80APCh. 35 - Prob. 81CPCh. 35 - Prob. 82CPCh. 35 - Prob. 83CPCh. 35 - Prob. 84CPCh. 35 - Prob. 85CPCh. 35 - Prob. 86CPCh. 35 - Prob. 87CP
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- The 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 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_forwardUnpolarized light in vacuum is incident onto a sheet of glass with index of refraction n. The reflected and refracted rays are perpendicular to each other. Find the angle of incidence. This angle is called Brewsters angle or the polarizing angle. In this situation, the reflected light is linearly polarized, with its electric field restricted to be perpendicular to the plane containing the rays and the normal.arrow_forward
- An unpolarized beam of light is incident on a stack of ideal polarizing filters. The axis of the first filter is perpendicular to the axis of the last filter in the stack. Find the fraction by which the transmitted beams intensity is reduced in the three following cases. (a) Three filters are in the stack, each with its transmission axis at 45.0 relative to the preceding filter. (b) Four filters are in the stack, each with its transmission axis at 30.0 relative to the preceding filter. (c) Seven filters are in the stack, each with its transmission axis at 15.0 relative to the preceding filter. (d) Comment on comparing the answers to parts (a), (b), and (c).arrow_forwardTwo polarizing sheets P1 and P2 are placed together with their transmission axes oriented at an angle to each other. What is when only 25% of the maximum transmitted light intensity passes through them?arrow_forwardLight passes from a material with index of refraction 1.3 into one with index of refraction 1.2. Compared with the incident ray, what happens to the refracted ray? (a) It bends toward the normal. (b) It is undeflected. (c) It bends away from the normal.arrow_forward
- A light ray travels from vacuum into a slab of material with index of refraction n1 at incident angle θ with respect to the surface. It subsequently passes into a second slab of material with index of refraction n2 before passing back into vacuum again. The surfaces of the different materials are all parallel to one another. As the light exits the second slab, what can be said of the final angle ϕ that the outgoing light makes with the normal? (a) ϕ > θ (b) ϕ < θ (c) ϕ = θ (d) The angle depends on the magnitudes of n1 and n2. (e) The angle depends on the wavelength of the light.arrow_forwardWhat angle is needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity in half?arrow_forwardIn Figure P37.52, suppose the transmission axes of the left and right polarizing disks are perpendicular to each other. Also, let the center disk be rotated on the common axis with an angular speed . Show that if unpolarized light is incident on the left disk with an intensity Imax, the intensity of the beam emerging from the right disk is I=116Imax(1cos4t) This result means that the intensity of the emerging beam is modulated at a rate four times the rate of rotation of the center disk. Suggestion: Use the trigonometric identities cos2=12(1+cos2) and sin2=12(1cos2). Figure P37.52arrow_forward
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