Calculating Scattered Light Intensity at Different Wavelengths

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SUMMARY

The discussion focuses on calculating scattered light intensity using the relationship I(ν) = I0ν1/2 and the proportionality of scattered light intensity to I = 1/λ4. Specifically, it addresses the calculation of scattered light intensity at a wavelength of λ = 400nm based on the known intensity at λ = 800nm, denoted as I800. The conversation highlights the importance of understanding whether intensity is measured per interval of frequency (ν) or wavelength (λ) to ensure accurate calculations.

PREREQUISITES
  • Understanding of Rayleigh scattering principles
  • Familiarity with monochromators and their function
  • Knowledge of the relationship between wavelength and frequency (ν = c/λ)
  • Basic grasp of proportionality in physics equations
NEXT STEPS
  • Research the mathematical derivation of Rayleigh scattering intensity
  • Learn about the application of monochromators in optical measurements
  • Explore the implications of measuring intensity per interval of frequency versus wavelength
  • Study the effects of different wavelengths on scattering phenomena
USEFUL FOR

Students in physics or optical engineering, researchers studying light scattering, and professionals working with optical measurement techniques will benefit from this discussion.

senobim
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Homework Statement


Light is scattered in cuvette by Reyleigh scattering, and is measured by monochromator.
Light intesity is given by I(ν)=I0ν1/2 relationship

What is scattered light intensity at λ = 400nm if at λ = 800nm is I800?

Homework Equations



Scattered light intensity is proportional to I = 1/λ4

and ν = c/λ --> I(λ) = I0(c/λ)1/2

The Attempt at a Solution


That's about it I can think of about this problem, any hints would be appreciated! ;]
 
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Your scattered light intensity is the product of the initial light intensity (which you transformed already) and the fraction that gets scattered (where you have the relation).

It is a bit unclear if intensity is meant "per interval of ν" or "per interval of λ". If the intensity formula and the answer use different conventions you would have to transform that.
 

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