Finding the Critical Angle of Glass in Water

In summary, the critical angle for a special glass in air is 44 degrees, but when the glass is immersed in water, the critical angle increases to 68 degrees due to the difference in refractive indices. This can be calculated using the equation sin(critical angle) = 1/index of refraction, where the index of refraction of air is 1.00 and the index of refraction of water is 1.333. Snell's Law can also be used to determine the critical angle.
  • #1
qszwdxefc
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Homework Statement


The critical angle for a special glass in air is 44 degrees. What is the critical angle if the glass is immersed in water?


Homework Equations


sin(critical angle) = 1/index of refraction

index of refraction of air is 1.00
index of refraction of water is 1.333

The Attempt at a Solution


I have no clue where to start that's the problem :S.

Just for reference, the textbook answer is 68 degrees.

Thanks.
 
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  • #2
qszwdxefc said:
sin(critical angle) = 1/index of refraction
Hint: That's only true if the surrounding medium has n = 1. (How is the critical angle formula derived?)
 
  • #3
Ah, Snell's Law where [tex]\theta_2[/tex] = [tex]90^\circ[/tex].

Thanks.
 
Last edited:
  • #4
Have you tried using the eqaution n1sinQ=n2sinQ
by the way the one is just saying its the first refractive index, and the Q is theta.
Maybe you could try this eqaution.
Thanks I hope that helps... :cool:

qszwdxefc said:

Homework Statement


The critical angle for a special glass in air is 44 degrees. What is the critical angle if the glass is immersed in water?


Homework Equations


sin(critical angle) = 1/index of refraction

index of refraction of air is 1.00
index of refraction of water is 1.333

The Attempt at a Solution


I have no clue where to start that's the problem :S.

Just for reference, the textbook answer is 68 degrees.

Thanks.
 

1. What is the critical angle problem?

The critical angle problem refers to a phenomenon in optics where a light ray traveling through a medium reaches the interface with a second medium and can no longer pass through it, instead reflecting back into the original medium at a specific angle called the critical angle.

2. How is the critical angle calculated?

The critical angle can be calculated using Snell's Law, which 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 refractive indices of the two media. The critical angle occurs when the angle of refraction is 90 degrees.

3. What factors affect the critical angle?

The critical angle is dependent on the refractive indices of the two media, as well as the angle of incidence of the light ray. It is also affected by the polarization of the light, with higher polarization resulting in a smaller critical angle.

4. How is the critical angle used in practical applications?

The critical angle is used in many practical applications, such as in fiber optics communications and total internal reflection microscopy. It is also important in understanding the properties of different materials and their interactions with light.

5. How does the critical angle relate to total internal reflection?

The critical angle is the angle at which total internal reflection occurs. If the angle of incidence is greater than the critical angle, the light will be completely reflected back into the original medium. This is an important concept in understanding how light behaves at interfaces between different media.

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