Calculate Incident Angle for Snell Optics Problem | n1=1, n2=1.5

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Homework Help Overview

The problem involves determining the incident angle Θ1 for a ray of light entering a block of glass with a refractive index of n = 1.5, surrounded by air. The ray reemerges into the air from the right-hand face of the block, directed parallel to the base of the block.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the angles of incidence and refraction at the left and right faces of the glass block, questioning why the angles are not the same. There is an emphasis on using geometry to understand the connection between these angles.

Discussion Status

The discussion is ongoing, with participants exploring the differences in angles at the two faces of the glass block. Some guidance has been provided regarding the geometric relationship between the angles, but no consensus has been reached on the specific values or methods to determine Θ1.

Contextual Notes

Participants note that the left and right sides of the block are not parallel, which affects the angles of incidence and refraction. There is a mention of needing to clarify the angles involved in the problem setup.

Sith Lord 13
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Homework Statement


The block of glass n = 1.5 shown in cross section in the figure (Intro 1 figure) is surrounded by air. A ray of light enters the block at its left-hand face with incident angle Θ1 and reemerges into the air from the right-hand face directed parallel to the block's base.
Determine Θ1

http://session.masteringphysics.com/problemAsset/1090003/2/GIANCOLI.ch32.p46.jpg

Homework Equations


n1 sin Θ1 = n2 sin Θ2 = n1 sin Θ3

The Attempt at a Solution


3. n1 sin Θ1 =n2 sin Θ2 = n1 sin Θ3
n1 =1, n2=1.5, Θ3=45
1 sin 45 = 1.5 sin(x) x= 28.125
1.5 sin 28.125 = 1 sin(x) x = 45
 
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Sith Lord 13 said:
n1 sin Θ1 =n2 sin Θ2 = n1 sin Θ3
n1 =1, n2=1.5, Θ3=45
1 sin 45 = 1.5 sin(x) x= 28.125
1.5 sin 28.125 = 1 sin(x) x = 45

Hi Sith Lord 13! Welcome to PF! :smile:

Don't forget that Θ2 on the left face isn't the same as Θ2 on the right face. :wink:
 


tiny-tim said:
Hi Sith Lord 13! Welcome to PF! :smile:

Don't forget that Θ2 on the left face isn't the same as Θ2 on the right face. :wink:

Thank you.

Why aren't they the same? And how do I determine what the left is then?

Thanks
 
Sith Lord 13 said:
Why aren't they the same? And how do I determine what the left is then?

Because the left and right sides aren't parallel …

so the internal angle (to the normal) at which the same ray meets the left side isn't the same as the internal angle at which it meets the right side :smile:

just use a bit of geometry to work out how they're connected. :wink:
 

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