A water "light pipe" is created by a stream of water exiting a container through a hole with a circular cross section of diameter d=5mm. Lascr light is injected uniformly into the water stream through the hole as shown. If the water and laser light exits the container initially horizontally with a laminar flow, and we approximate the trajectory of the water as following a circular path (it would actually be parabolic) and maintaining a constant diameter for the "light pipe", find the smallest outside radius R permitted for the water path such that no laser light escapes on its first reflection with the water-air surface. Water has an index of refraction of n=1.33.
A water "light pipe" is created by a stream of water exiting a container through a hole with a circular cross section of diameter d=5mm. Lascr light is injected uniformly into the water stream through the hole as shown. If the water and laser light exits the container initially horizontally with a laminar flow, and we approximate the trajectory of the water as following a circular path (it would actually be parabolic) and maintaining a constant diameter for the "light pipe", find the smallest outside radius R permitted for the water path such that no laser light escapes on its first reflection with the water-air surface. Water has an index of refraction of n=1.33.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A water "light pipe" is created by a stream of water exiting a container
through a hole with a circular cross section of diameter d=5mm. Lascr light is injected
uniformly into the water stream through the hole as shown. If the water and laser light exits the container initially horizontally with a laminar flow, and we approximate the trajectory of the water as following a circular path (it would actually be parabolic) and maintaining a constant diameter for the "light pipe", find the smallest outside radius R permitted for the water path such that no laser light escapes on its first reflection with the water-air surface.
Water has an index of refraction of n=1.33.
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