Let vi be the velocity of light in air and vz the velocity of light in water. According to Fermať's Principle, a ray of light will travel from a point A in the air to a point B in the water by a path ACI that minimizes the time taken. Show that sin 61 sin 02 V2 where 0, (the angle of incidence) and 02 (the angle of refraction) are as shown. This equation is known as Snell's Law.

University Physics Volume 3
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Author:William Moebs, Jeff Sanny
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Chapter1: The Nature Of Light
Section: Chapter Questions
Problem 79AP: Shown below is a ray of light going from air through crown glass into water, such as going into a...
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Let vi be the velocity of light in air and vz the velocity of light in water. According to Fermať's
Principle, a ray of light will travel from a point A in the air to a point B in the water by a path ACI
that minimizes the time taken. Show that
sin 61
sin 02
V2
where 0, (the angle of incidence) and 02 (the angle of refraction) are as shown. This equation is
known as Snell's Law.
Transcribed Image Text:Let vi be the velocity of light in air and vz the velocity of light in water. According to Fermať's Principle, a ray of light will travel from a point A in the air to a point B in the water by a path ACI that minimizes the time taken. Show that sin 61 sin 02 V2 where 0, (the angle of incidence) and 02 (the angle of refraction) are as shown. This equation is known as Snell's Law.
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