What is the frequency of light with a wavelength of 7.245×10−7 m in glass?

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SUMMARY

The frequency of light with a wavelength of 7.245×10-7 m in glass, which has an index of refraction of 1.44, can be calculated using the formula c = λf. The correct frequency is determined to be approximately 4.14×1014 Hz. The initial calculation presented by the user, which resulted in 5.03125e-7, was incorrect due to a misunderstanding of the relationship between wavelength and frequency in a medium with a specific index of refraction.

PREREQUISITES
  • Understanding of the wave equation c = λf
  • Knowledge of the concept of index of refraction
  • Familiarity with light dispersion in prisms
  • Basic algebra for manipulating equations
NEXT STEPS
  • Learn about the relationship between wavelength and frequency in different media
  • Study the principles of light dispersion in optical materials
  • Explore the calculation of frequency using various indices of refraction
  • Investigate the properties of light in glass compared to a vacuum
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Students in physics, optical engineers, and anyone interested in the behavior of light in different media, particularly in relation to frequency and wavelength calculations.

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Homework Statement


The glass prism has an index of refraction
that depends on the wavelength of the light
that enters it. The index of refraction is
1.44 for light of wavelength 7.245 × 10−7 m
in a vacuum and 1.79 for light of wavelength
4.433 × 10−7 m in vacuum. A beam of white
light is incident from the left, perpendicular
to the first surface, as shown in the figure,
and is dispersed by the prism into its spectral
components.

Determine the frequency of the 7.245×10−7 m
light in the glass.
Answer in units of Hz

Homework Equations


c = λf

The Attempt at a Solution


Alright so I calculated the frequency to be 5.03125e-7 (this is correct),
so I just plugged this into the formula 3*10^8/5.03125e-7 and got 5.96*10^14 m
I thought I did this correctly. Did I do something silly?
 
Last edited:
Physics news on Phys.org
elitepro said:
Alright so I calculated the frequency to be 5.03125e-7 (this is correct),
I don't see how it can be. How do you know it is right? Please post your calculation.
 

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