Fermat's Principle a. Two poles of heights m and n are separated by a horizontal distance d. A rope is stretched from the top of one pole to the ground and then to the top of the other poke. Show that the configuration that requires the least amount of rope occurs when 6, = 0, (see figure). (a) b. Fermat's Principle states that when light travels between two points in the same medium (at a constant speed), it travels on the path that minimizes the travel time. Show that when light from a source A reflects off a surface and is received at point B, the angle of incidence equals the angle of reflection, or O, = 0, (see figure). (b) A Medium 1 Medium 2
Fermat's Principle a. Two poles of heights m and n are separated by a horizontal distance d. A rope is stretched from the top of one pole to the ground and then to the top of the other poke. Show that the configuration that requires the least amount of rope occurs when 6, = 0, (see figure). (a) b. Fermat's Principle states that when light travels between two points in the same medium (at a constant speed), it travels on the path that minimizes the travel time. Show that when light from a source A reflects off a surface and is received at point B, the angle of incidence equals the angle of reflection, or O, = 0, (see figure). (b) A Medium 1 Medium 2
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter29: Introduction To Quantum Physics
Section: Chapter Questions
Problem 19CQ: Which formula may be used for the momentum of all particles, with or without mass?
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Snell’s Law Suppose a light source at A is in a medium in which
light travels at a speed ν1 and that point B is in a medium in which
light travels at a speed ν2 (see figure). Using Fermat’s Principle,
which states that light travels along the path that requires the minimum
travel time (as attached), show that the path taken between
points A and B satisfies (sin θ1)/ν1 = (sin θ2)/ν2.
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