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

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Chapter29: Introduction To Quantum Physics
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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.

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)
Transcribed Image Text: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
Transcribed Image Text:A Medium 1 Medium 2
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