Wavelength, Frequency, and Speed of Light in Different Media

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SUMMARY

The discussion focuses on calculating the time it takes for a pulse of light to travel through a glass medium with a given thickness L and index of refraction n. The speed of light in the medium is determined using the formula v = c/n, where c is the speed of light in a vacuum. The time is calculated as t = Ln/c, with the wavelength of the laser light in vacuum being L/10 and its frequency denoted as f. The importance of not including constants in the final answer is emphasized, particularly regarding the frequency of light.

PREREQUISITES
  • Understanding of the speed of light in different media
  • Knowledge of the index of refraction
  • Familiarity with basic wave properties (wavelength and frequency)
  • Ability to manipulate algebraic equations
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  • Study the relationship between wavelength, frequency, and speed of light using the equation c = λf
  • Explore the concept of index of refraction and its impact on light propagation
  • Learn about the behavior of light in various media, including reflection and refraction
  • Investigate practical applications of light travel time calculations in optics
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Homework Statement


A beam of light from a monochromatic laser shines into a piece of glass. The glass has a thickness L and an index of refraction n . The wavelength of the laser light in vacuum is L/10 and its frequency is f. In this problem, the constant should not appear in any of your answers.

How long does it take for a short pulse of the light to travel from one end of the glass to the other?

Homework Equations



None of any significance i can think of that will help us here

The Attempt at a Solution



t = (L/10)(f)(n)
 
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Okay, the best thing to do is to draw a diagram, I always find this helps to visualize the
problem. You know that the time the light is inside the media is simply t = s/v. Now s = L
so t = L/v. And the speed of the light inside the glass is of course c/n. Hence t = Ln/c. I wasn't sure what you meant by "the constant should not appear in any of your answers" if you mean that the frequency of the light, which is constant whatever media it is in, then that's your answer. Otherwise, you can simply substitute to get the answer in the form that you need.
You can also use c = l*f (l=wavelength, f=frequency) will also be of use.

Matt.
 
Last edited:

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