Indices of refraction when wavelengths are given

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SUMMARY

The discussion centers on calculating the indices of refraction for two wavelengths of light (400 nm and 650 nm) entering silicate flint glass through an equilateral prism at an angle of incidence of 49 degrees. The user initially attempted to use the formula λ₀/λₙ to find the indices but encountered confusion regarding the values, particularly with the 589 nm reference. Ultimately, the user resolved the issue independently after their teacher posted the indices online.

PREREQUISITES
  • Understanding of light wavelengths (e.g., 400 nm and 650 nm)
  • Knowledge of the formula for calculating indices of refraction (λ₀/λₙ)
  • Familiarity with the concept of angles of incidence and refraction
  • Basic principles of optics related to prisms
NEXT STEPS
  • Study the principles of Snell's Law for refraction
  • Explore the properties of silicate flint glass and its refractive indices
  • Learn about the dispersion of light through prisms
  • Investigate the relationship between wavelength and index of refraction in different materials
USEFUL FOR

Students studying optics, physics educators, and anyone interested in the behavior of light through different media, particularly in relation to prisms and refraction calculations.

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A parallel beam of light containing two wavelengths, 1 = 400 nm and 2 = 650 nm, enters the silicate flint glass of an equilateral prism with an angle of incidence of 49 degrees. At what angle, relative to the normal, does each beam leave the prism?

This seems simple, but previously, I had solved somilar problems when the indices of refraction were given. So, I checked my textbook and it said that to find the indices of refraction use the formula lambda o/ lambda n. So I tried this and divided 589 nm (isn't this the speed of sound in a vacuum??) by 400 nm to get 1.4725. However, I noticed that for the second ray, the index ( 589 nm/ 650 nm) results in a number that is less than one. This cannot be right. Please help me find the indices of refraction so I can continue with this problem!
Thanks
 
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never mind

Never mind, you do not need to help me with this... my teacher just posted the indices on our website now... Thanks anyway!
 

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