Refraction of light in three mediums

In summary, the conversation discusses two cases: the first case where light travels through three mediums with different indices of refraction and the second case where light travels through three mediums with one of the indices of refraction remaining the same. The value of R, which represents the ratio of the sine of the angle of refraction after the second medium to the sine of the angle of refraction after the third medium, is being discussed. The conversation concludes that in the general case, the index of refraction of the middle medium does not affect the final angle of refraction, resulting in R having a value of 1. However, one person doubts this conclusion.
  • #1
arnavchhabra
4
0
1. 2 cases:
there are three mediums
first case: light travels from first medium to second, then to third. n1 = 1.1; n2 =1.6; n3 =1.9
angle of incidence before first = theta 1
angle of refraction after first = theta 2
angle of refraction after second = theta 3

second case:
light travels through three mediums
n1' = n1
n2' = 1.5
n3' = n3
theta 1' = theta 1




2. R = sin theta 3' / sin theta 3
what should be the value of R?




3. I keep getting 1. I donno why though?
 
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  • #2
Snell's Law for the general case says that n1sin(theta1) = n2sin(theta2) and since the angle into the second interface is the same as the angle out of the first interface, n2sin(theta2) = n3sin(theta3). So n1sin(theta1) = n3sin(theta3). So the index of refraction of the middle medium doesn't change the final angle out. That's the meaning of R=1, right?
 
  • #3
yes...i don't think its right though
 

1. What is refraction?

Refraction is the phenomenon of light bending as it passes through different mediums, such as air, water, and glass. This bending is caused by a change in the speed of light as it travels from one medium to another.

2. How does refraction occur in three mediums?

When light travels from one medium to another, such as from air to water, the change in the density of the medium causes the light to bend. This bending is known as refraction and can be observed when looking at objects through different mediums.

3. What is the refractive index?

The refractive index is a measure of how much a medium can bend light. It is the ratio of the speed of light in a vacuum to the speed of light in the medium. The higher the refractive index, the more the light will bend as it passes through the medium.

4. How does the angle of incidence affect refraction?

The angle of incidence is the angle at which light enters a medium. As the angle of incidence increases, the amount of refraction also increases. This means that light will bend more when entering a medium at a steeper angle.

5. What are some real-life applications of refraction in three mediums?

Refraction in three mediums has many practical applications, including the functioning of lenses in glasses and cameras, the creation of rainbows, and the bending of light in fiber optic cables for communication. It is also important in understanding the behavior of light in different environments, such as underwater or in the atmosphere.

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