Relate wavelength and energy scale

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Homework Help Overview

The discussion revolves around relating light intensity measured as a function of wavelength to an energy scale expressed in terms of frequency. The original poster presents the intensity function I(λ) = I₀λ³ and seeks to convert it to the energy scale I(hν).

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the relationship between intensity, wavelength, and frequency, questioning how to calculate power and intensity over specific ranges. There are discussions about approximations for small intervals and the correct setup for integrals.

Discussion Status

Participants are actively engaging with the problem, offering various approaches and questioning assumptions. Some have suggested using integrals to find intensity over a range, while others are clarifying the relationships between wavelength and frequency. There is no explicit consensus yet, but several productive lines of inquiry are being explored.

Contextual Notes

Participants note the need to consider small intervals in their calculations and question the appropriateness of using indefinite integrals in this context. There is also a focus on ensuring clarity in the symbols used for different variables to avoid confusion.

  • #31
##\delta \lambda## and ##\delta \nu## are different things, you cannot simply replace them.
 
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  • #32
of course.

λ = c/ν, ν=c/λ --> do I nead to integrate over this range this time? c/λ and c/λ + c/δλ
 
  • #33
senobim said:
c/λ and c/λ + c/δλ
a/(b+c) and a/b + a/c are not the same.
 
  • #34
c/λ and c/λ + δ(c/λ)?
 
  • #35
What does δ(c/λ) mean?
 
  • #36
some different freaquency from c/λ

or I need to define different freaquency just c/λ2

and the range will be c/λ and c/λ2
 
Last edited:

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