Find the angles of refraction for these two colors.

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SUMMARY

The discussion focuses on calculating the angles of refraction for red light (656 nm) and blue light (434 nm) as they pass through a diamond with indices of refraction of 2.410 and 2.450, respectively. The incident angle is given as 30.0 degrees. The correct approach involves using the equation sin(r)/sin(i) = n2/n1, where n1 is the index of refraction for air, and n2 varies for each color of light. Participants confirmed that the same initial angle applies to both colors, and emphasized the importance of using precise values for n2 to ensure accuracy in calculations.

PREREQUISITES
  • Understanding of Snell's Law for refraction
  • Familiarity with the concept of the index of refraction
  • Basic knowledge of wavelength and its relation to light
  • Ability to perform trigonometric calculations
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  • Study Snell's Law in detail, focusing on its applications in optics
  • Learn how to calculate angles of refraction for different media
  • Explore the relationship between wavelength and index of refraction
  • Investigate the effects of varying incident angles on refraction
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Students studying optics, physics educators, and anyone interested in understanding the behavior of light as it passes through different materials.

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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?
 
Last edited:
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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.
 
I know about the two separate equations.. but is n1=air?
 
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
 
Ok, got it! Thanks for the help =)
 
ur welcome.
 

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