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

In summary, the problem involves a block of glass with a refractive index of 1.5 surrounded by air. A ray of light enters the block at an angle Θ1 and exits parallel to the base. Using the equations n1 sin Θ1 = n2 sin Θ2 = n1 sin Θ3, where n1=1 and n2=1.5, we can determine that the angle of incidence on the left face is not the same as the angle of incidence on the right face. Geometry can be used to determine the relationship between the two angles.
  • #1
Sith Lord 13
2
0

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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  • #2
Welcome to PF!

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:
 
  • #3


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
 
  • #4
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:
 

1. What is the Snell optics problem?

The Snell optics problem, also known as Snell's law, is a fundamental principle in optics that explains the behavior of light as it passes through different mediums with varying refractive indices.

2. What is Snell's law?

Snell's law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the speed of light in the first medium to the speed of light in the second medium.

3. How do you solve a Snell optics problem?

To solve a Snell optics problem, you need to know the refractive indices of the two mediums involved, as well as the angle of incidence. You can then use Snell's law to calculate the angle of refraction.

4. What is the difference between refraction and reflection?

Refraction is the bending of light as it passes through a medium with a different refractive index, whereas reflection is the bouncing of light off a surface. Refraction changes the direction of light, while reflection does not.

5. Why is the Snell optics problem important?

The Snell optics problem is important because it helps us understand how light behaves as it passes through different mediums, which has practical applications in fields such as optics, engineering, and medicine.

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