Find the angles of refraction for these two colors.

In summary, the index of refraction for a diamond for red light (656 nm) is 2.410 and for blue light (434 nm) is 2.450. When white light is incident on the diamond at 30.0 degrees, the angles of refraction for these two colors can be found using the equation sinr/sini = n2/n1 = wvlngth1/wvlngth2. The value of n1 is equal to the index of refraction for air. It is important to use the value given in the textbook to get an accurate answer to 4 significant figures or more.
  • #1
Aamun
10
0

Homework Statement



The index of Refraction for a diamond for red light, 656 nm, is 2.410, while that for blue light, 434 nm, is 2.450. Suppose white light is incident on the diamond at 30.0 Degrees. Find the angles of refraction for these two colors.

Homework Equations



sinr/sini = n2/n1 = wvlngth1/wvlngth2

The Attempt at a Solution



My problem is where to start on this question. I was thinking maybe use the index of refraction for air over the red, and then figure out each angle, would that be correct? Or am I missing something?
 
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  • #2
it's two separate questions.

use ur equation sinr/sini = n1/n2.

sini is the same in both questions. only n2 changes. you solve for sinr.
 
  • #3
I know about the two separate equations.. but is n1=air?
 
  • #4
yeah. to be sure you get the right answer you should probably look it up in your book and use the value they give to 4 sig figs or more because the n2 values given are to four
 
  • #5
Ok, got it! Thanks for the help =)
 
  • #6
ur welcome.
 

Related to Find the angles of refraction for these two colors.

1. What is the angle of refraction?

The angle of refraction is the angle at which a ray of light bends as it passes from one medium to another. It is measured from the normal, which is an imaginary line perpendicular to the surface of the medium.

2. How is the angle of refraction calculated?

The angle of refraction is 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 media.

3. What factors affect the angle of refraction?

The angle of refraction is affected by the speed of light in the two media, the angle of incidence, and the properties of the materials, such as their density and refractive index.

4. Why do different colors have different angles of refraction?

Different colors of light have different wavelengths and frequencies, which cause them to travel at different speeds through a medium. As a result, they will experience different angles of refraction when passing from one medium to another.

5. How is the angle of refraction related to the color of light?

The angle of refraction is related to the color of light because different colors have different wavelengths and frequencies, and these properties affect the angle at which the light bends as it passes through a medium. This is why we see different colors when light passes through a prism or a rainbow.

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