Black Body Radiation - graphical trend

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SUMMARY

The discussion centers on the Planck distribution function for blackbody radiation, specifically its graphical representation and the underlying trends. Participants emphasize the importance of understanding the behavior of the function at both low and high frequencies, noting that the exponential component and frequency cubed significantly influence the graph's shape. The conversation highlights the necessity of correctly interpreting Planck's law in terms of frequency versus wavelength to accurately sketch the function's behavior.

PREREQUISITES
  • Understanding of Planck's law and its implications in blackbody radiation.
  • Familiarity with the Planck distribution formula and its components.
  • Basic knowledge of frequency and wavelength relationships in physics.
  • Graphical representation skills for mathematical functions.
NEXT STEPS
  • Study the derivation and implications of Planck's law in detail.
  • Learn how to graph the Planck distribution function in both frequency and wavelength domains.
  • Explore the concept of blackbody radiation and its applications in thermal physics.
  • Investigate the role of exponential functions in physical phenomena, particularly in thermodynamics.
USEFUL FOR

Students of physics, educators teaching thermodynamics, and anyone interested in the principles of blackbody radiation and its graphical analysis.

chris_0101
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Homework Statement


To make a long question short, we have the Planck distribution function for a blackbody and the question basically asks to sketch the behavior of this function and explain how one figured these trends.


Homework Equations



Planck Distribution formula:
974887ba0f7030f31b7b27b619afde87.png



The Attempt at a Solution


I am pretty much certain that the Planck Distribution function looks like this:
planck.gif


If we were to observe the formula separately, we can see one part of the function is an inverse, thus will decrease, which is shown on the graph. But this is just an observation, and simply does not make that much sense. If anyone can point me into the right direction on how to explain this trend, it would greatly be appreciated.

Thanks
 
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Maybe you should think what part of Planck's law is important in low frequency and in high frequency. Try to draw part with exp and frequency to the cube separately. Think abut what is increasing (decreasing) faster.
And ofcourse you have written Palnck's law as a function of freaquency and you draw it as a function of wavelength...
 

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