Harmonic Infrared Wave Propogation

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Homework Help Overview

The discussion revolves around a plane harmonic infrared wave described by a mathematical expression, with participants analyzing the vacuum wavelength based on the provided equation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants share their calculated wavelengths and question the correctness of the given answer. There is a focus on verifying calculations and understanding the implications of the refractive index on wavelength.

Discussion Status

Multiple interpretations of the wavelength are being explored, with some participants suggesting that the given answer may be incorrect. There is a mix of attempts to clarify the calculations and assumptions regarding the medium and vacuum conditions.

Contextual Notes

Participants note that the wavelength in the medium may differ from the vacuum wavelength, and there is a discussion about the appropriateness of the given values in the context of infrared classification.

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Homework Statement


A plane harmonic infrared wave traveling through a transparent medium is given by Ex(y,t) = Eosin2(pi)[y/5*10-7 - 3*10-14t] where all the quantities are expressed in S.I. units. The vacuum wavelength of this wave is?


The Attempt at a Solution



I got the answer as 1000 nm but the given answer is 500 nm. I think the given answer is incorrect. Can somebody verify?
 
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Abdul Quadeer said:

Homework Statement


A plane harmonic infrared wave traveling through a transparent medium is given by Ex(y,t) = Eosin2(pi)[y/5*10-7 - 3*10-14t] where all the quantities are expressed in S.I. units. The vacuum wavelength of this wave is?


The Attempt at a Solution



I got the answer as 1000 nm but the given answer is 500 nm. I think the given answer is incorrect. Can somebody verify?

How did you do the calculation?
 
Tell me which one is correct first then I will post my calculations.
 
Abdul Quadeer said:
Tell me which one is correct first then I will post my calculations.

It should not be 500 nm because that's the wavelength in the medium, so the vacumm wavelength should be different. The value of 3*10^-14 is strange (too small), so I don't know how did you get the 1000 nm.
 
Abdul Quadeer said:
Tell me which one is correct first then I will post my calculations.

You are right!. The refractive index is 2, (but nu=3*10^14, I was taking ^-14), so the wavelength in the vacuum is 1000 nm.
 
Thanks!
 
In addition, 500 nm is Not infrared, however 1000nm is in the near infrared.
 

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