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

AI Thread Summary
To calculate the incident angle Θ1 for a ray of light entering a glass block with n1=1 and n2=1.5, the relationship n1 sin Θ1 = n2 sin Θ2 must be applied, with Θ3 given as 45 degrees. The calculations show that Θ1 is approximately 28.125 degrees when using the equation for the angle of refraction. It's important to note that the angles Θ2 on the left and right faces of the block are not the same due to the differing geometries of the entry and exit points. Understanding this distinction is crucial for accurately determining the angles involved in the problem. Geometry can be used to connect the angles and solve for Θ1 effectively.
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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