When the incidence angle is equal to the angle of refraction

AI Thread Summary
When the incidence angle equals the angle of refraction, it indicates that the refractive indices of the two media are equal, leading to no bending of light. This scenario is described by Snell's law, where the angles can be equal if both are zero radians. The discussion highlights that this condition is not related to critical angle refraction, which occurs at a specific incidence angle. The key takeaway is that when the angles are equal, light passes straight through without refraction. Understanding this relationship is crucial for applying Snell's law effectively.
zade70
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Homework Statement


When the incidence angle is equal to the angle of refraction?

Homework Equations


sina/sinb=n2/n1

The Attempt at a Solution


I think as a=b => sina=sinb => n1=n2. We should have the same environment? But is that refraction?
 
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At the interface of two different media, there is a certain angle of incidence where the incident ray just passes straight through. What is this angle?
 
blue_leaf77 said:
At the interface of two different media, there is a certain angle of incidence where the incident ray just passes straight through. What is this angle?
when b= pi/2 rad. It is the limit angle for a. sina=n2/n1
 
zade70 said:
when b= pi/2 rad. It is the limit angle for a. sina=n2/n1
No, that corresponds to critical angle refraction. It very simple, you have Snell's law ##n_1 \sin a = n_2 \sin b##. Try to find a trivial angle ##a=b## which will make the left and right hand side of Snell's law equal irrespective of the refractive indices.
 
blue_leaf77 said:
No, that corresponds to critical angle refraction. It very simple, you have Snell's law ##n_1 \sin a = n_2 \sin b##. Try to find a trivial angle ##a=b## which will make the left and right hand side of Snell's law equal irrespective of the refractive indices.
a=b=0 rad? 0=0
 
Yes.
 
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