Explanation Consider the following figure. Figure (1) The Fermat’s principle states that the light travels between two points along the path that requires the least time as compare to other nearby paths. It is used in the derivation of the law of reflection. Time taken by the light ray to travel from point A to B is, t = h 1 2 + x 2 c + h 2 2 + ( d − x ) 2 c To minimize the time, set the derivative of the time with respect to x equal to zero. d t d x = 0 Substitute h 1 2 + x 2 c + h 2 2 + ( d − x ) 2 c for t in above equation, d d x ( h 1 2 + x 2 c + h 2 2 + ( d − x ) 2 c ) = 0 x c h 1 2 + x 2 </

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ISBN: 9781337553278

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 34, Problem 55CP

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The law of reflection by using the Fermat’s principle.

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Chapter 34, Problem 54CP

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Chapter 34 Solutions

Physics for Scientists and Engineers

Ch. 34.3 - Prob. 34.1QQ Ch. 34.4 - If beam is the incoming beam in Figure 34.10b,...Ch. 34.4 - Light passes from a material with index of...Ch. 34.6 - In photography, lenses in a camera use refraction...Ch. 34.7 - Prob. 34.5QQ Ch. 34 - Prob. 1P Ch. 34 - The Apollo 11 astronauts set up a panel of...Ch. 34 - As a result of his observations, Ole Roemer...Ch. 34 - A dance hall is built without pillars and with a...Ch. 34 - You are working for an optical research company...

Ch. 34 - Prob. 6P Ch. 34 - Prob. 7P Ch. 34 - Two flat, rectangular mirrors, both perpendicular...Ch. 34 - Prob. 9P Ch. 34 - A ray of light strikes a flat block of glass (n =...Ch. 34 - Prob. 11P Ch. 34 - Prob. 12P Ch. 34 - A laser beam is incident at an angle of 30.0 from...Ch. 34 - A ray of light strikes the midpoint of one face of...Ch. 34 - When you look through a window, by what time...Ch. 34 - Light passes from air into flint glass at a...Ch. 34 - You have just installed a new bathroom in your...Ch. 34 - A triangular glass prism with apex angle 60.0 has...Ch. 34 - You are working at your university swimming...Ch. 34 - Prob. 20P Ch. 34 - Prob. 21P Ch. 34 - A submarine is 300 m horizontally from the shore...Ch. 34 - Prob. 23P Ch. 34 - A light beam containing red and violet wavelengths...Ch. 34 - Prob. 25P Ch. 34 - The speed of a water wave is described by v=gd,...Ch. 34 - For 589-nm light, calculate the critical angle for...Ch. 34 - Prob. 28P Ch. 34 - A room contains air in which the speed of sound is...Ch. 34 - Prob. 30P Ch. 34 - An optical fiber has an index of refraction n and...Ch. 34 - Consider a horizontal interface between air above...Ch. 34 - How many times will the incident beam in Figure...Ch. 34 - Consider a beam of light from the left entering a...Ch. 34 - Why is the following situation impossible? While...Ch. 34 - Prob. 36AP Ch. 34 - When light is incident normally on the interface...Ch. 34 - Refer to Problem 37 for its description of the...Ch. 34 - A light ray enters the atmosphere of the Earth and...Ch. 34 - A light ray enters the atmosphere of a planet and...Ch. 34 - Prob. 41AP Ch. 34 - Prob. 42AP Ch. 34 - Prob. 43AP Ch. 34 - Prob. 44AP Ch. 34 - Prob. 45AP Ch. 34 - As sunlight enters the Earths atmosphere, it...Ch. 34 - A ray of light passes from air into water. For its...Ch. 34 - Prob. 48AP Ch. 34 - Prob. 49AP Ch. 34 - Figure P34.50 shows a top view of a square...Ch. 34 - Prob. 51AP Ch. 34 - Prob. 52CP Ch. 34 - Prob. 53CP Ch. 34 - Pierre de Fermat (16011665) showed that whenever...Ch. 34 - Prob. 55CP Ch. 34 - Suppose a luminous sphere of radius R1 (such as...Ch. 34 - Prob. 57CP

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The law of reflection by using the Fermat’s principle.

Solution Summary: The author explains how the Fermat's principle states that the light travels between two points along the path that requires the least time as compare to other nearby paths.

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Chapter 34 Solutions