If the light enters medium 2 at an angle 0₁ = 40° with respect to the normal to the interface between the media, how far is it shifted from its original path once it exits medium 2? Express your answer with the appropriate units.
If the light enters medium 2 at an angle 0₁ = 40° with respect to the normal to the interface between the media, how far is it shifted from its original path once it exits medium 2? Express your answer with the appropriate units.
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Question
![A ray traveling through a large vat filled with
medium 1, index of refraction n₁ = 1.3, is incident
on a flat layer (thickness 17 mm) of medium 2,
index of refraction n₂ = 1.6.
Part A
If the light enters medium 2 at an angle 0₁ = 40° with respect to the normal to the
interface between the media, how far is it shifted from its original path once it exits
medium 2?
Express your answer with the appropriate units.
View Available Hint(s)
l=
Hint 1. How to approach the problem
First, determine the distance at which the original path of the light leaves
medium 2 in the direction along the layer of medium 2. Next, use Snel's law to
determine how the direction of the ray changes in the medium 2 because of
the refraction. Then determine where the refracted ray exits medium 2. After
that determine the distance between the exit points of the original path and the
refracted ray, then determine the perpendicular distance between the original
path and the ray leaving medium 2.
0
☐☐
μA
Value
Units
?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90c2ca62-5eae-48d9-9b54-198b053b732b%2Fcb764eeb-701d-46c9-802f-fb8a3cb11a64%2Fiy6txvw_processed.png&w=3840&q=75)
Transcribed Image Text:A ray traveling through a large vat filled with
medium 1, index of refraction n₁ = 1.3, is incident
on a flat layer (thickness 17 mm) of medium 2,
index of refraction n₂ = 1.6.
Part A
If the light enters medium 2 at an angle 0₁ = 40° with respect to the normal to the
interface between the media, how far is it shifted from its original path once it exits
medium 2?
Express your answer with the appropriate units.
View Available Hint(s)
l=
Hint 1. How to approach the problem
First, determine the distance at which the original path of the light leaves
medium 2 in the direction along the layer of medium 2. Next, use Snel's law to
determine how the direction of the ray changes in the medium 2 because of
the refraction. Then determine where the refracted ray exits medium 2. After
that determine the distance between the exit points of the original path and the
refracted ray, then determine the perpendicular distance between the original
path and the ray leaving medium 2.
0
☐☐
μA
Value
Units
?
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