Deviation in refraction and TIR

In summary, we are trying to find the range of angle of deviation for which there are two angles of incidence when light is incident from glass (n=1.5) to water (n=1.33). Using Snell's Law, we can calculate the lowest value of angle of deviation as 0° when the angle of incidence is 0°. However, the highest value is still unknown and we may need to calculate a few angles of deviation, such as 20 and 40 degrees, to determine which direction to proceed in.
  • #1
Jon Drake
15
0

Homework Statement


Light is incident from glass (n=1.5) to water (n=1.33). Find out the range of angle of deviation for which there are two angles of incidence.

Homework Equations


Snell's Law

The Attempt at a Solution

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The lowest value of angle of deviation would be 0° when i = 0. But, I am unable to find the highest value. Would it be during refraction or TIR?
 
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  • #2
Someone please help.
 
  • #3
Jon Drake said:
Someone please help.
Calculate a couple of angles of deviation - perhaps with angle of incidence 20 and 40 degrees (assuming they are both below the TIR situation) - and then you may see which way to proceed.
 

1. What is deviation in refraction?

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

2. How is deviation in refraction calculated?

The amount of deviation in refraction 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 speeds of light in the two mediums.

3. What is total internal reflection (TIR)?

Total internal reflection occurs when a light ray strikes the boundary between two mediums at an angle greater than the critical angle. This causes the light to be completely reflected back into the original medium instead of passing through to the second medium.

4. How is the critical angle of TIR determined?

The critical angle can be calculated using the formula: sin θc = n2/n1, where n1 is the refractive index of the first medium and n2 is the refractive index of the second medium.

5. What are some real-world applications of TIR?

TIR has many practical applications, such as in fiber optics communications, where light is transmitted through cables without loss of signal due to TIR. It is also used in optical devices like prisms, binoculars, and periscopes.

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