How Does Light Refraction Affect Displacement in a Glass Medium?

In summary, the conversation discusses finding the displacement (d) of a ray of light passing through a piece of glass with refractive index n2 and thickness t. The formula d=tsin(theta1)(1-(n1cos(theta1) / n2cos(theta2)) is shown to be correct by drawing a diagram and using trigonometry. The key to solving the problem is recognizing that the incident and refracted rays should be parallel.
  • #1
Pixter
30
0
Okej have a piece of glass with refractive index n2 and tickness t.

A ray of light falls on the glass with the angle theta1 (from a medium with recrative index n1).

In the glass the ray has the angle theta2 and when it exits it has now got the displacement d (compared with the ray that went from air to glass).

Now show that the formula d=tsin(theta1)(1-(n1cos(theta1) / n2cos(theta2)) is correct.

I know it is suppose to be simple trig, but the only thing i can even figure out to do is that 90-theta1 = theta ... then I'm stuck.. can't see how to connect anything. please give me some hints.
 
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  • #2
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.
 
  • #3
Hootenanny said:
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.

yeah they are parallel of course.. but just finding the displacement of them..

have done a diagram as well. but as I said I can't figure out what to start with. can't see the trig stuff in it =(
 
  • #4
Hootenanny said:
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.
Oki done it know.. and it made perfect sense..=)
 
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FAQ: How Does Light Refraction Affect Displacement in a Glass Medium?

What is refraction?

Refraction is the bending of light as it passes through different mediums, such as air, water, or glass. This bending occurs because light travels at different speeds through different mediums.

How does refraction affect the appearance of objects?

Refraction can cause objects to appear distorted or shifted when viewed through different mediums. For example, objects underwater may appear larger or closer than they actually are due to the bending of light.

What causes refraction to occur?

Refraction occurs due to the change in speed of light as it passes through different mediums. This change in speed is caused by the change in density of the medium.

How is refraction used in everyday life?

Refraction is used in many everyday objects, such as eyeglasses, cameras, and microscopes. It is also used in optical illusions and can be seen in the way a straw appears to bend in a glass of water.

What is the difference between refraction and displacement?

Refraction is the bending of light as it passes through different mediums, while displacement is the change in position of an object when it is viewed through different mediums. In other words, refraction affects the path of light, while displacement affects the perceived location of an object.

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