Finding Planck's Formula Transforms for High/Low Frequencies

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Homework Help Overview

The discussion revolves around Planck's law of black body radiation, specifically focusing on transformations of the formula for high and low frequencies, as well as its representation in terms of wavelength.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants inquire about expressing Planck's formula in terms of wavelength and seek proofs related to Wien's displacement law. There are questions about the relationship between frequency and wavelength, as well as the reasoning behind certain approximations in deriving Wien's law from Planck's law.

Discussion Status

Participants are actively engaging with the topic, with some expressing a need for proof and clarification on specific aspects of the laws discussed. There is an acknowledgment of existing resources, but also a desire for deeper understanding and validation of concepts.

Contextual Notes

Some participants reference external links for further information, indicating a reliance on existing literature while also seeking additional proof and clarification. There is mention of different laws applicable to various wavelength ranges, suggesting a nuanced understanding of the subject matter.

vahide
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could you find the planks formulas transformation for high and low frequencies please.
 
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planks law

could you declare the planks formula through [tex]\lambda[/tex] please
 
vahide said:
could you declare the planks formula through [tex]\lambda[/tex] please

You'll have to help me help you. Is the link I provided for you any use? If so, you (should) know a formula relating frequency and wavelength.
 
vahide said:
thank you
i found that but i need proof of this.
There's a proof on that page!

Note that you will probably know a lot more than me about this topic.
 
planks law

could you prove this
[tex]\lambda_{max}[/tex]*T=constant=x
and find x
by planks formula?
 
vahide said:
could you prove this
[tex]\lambda_{max}[/tex]*T=constant=x
and find x
by planks formula?


yes, that is Wiens displacement law.
Just Do the "approximation" Wien "did" and find maximum. I.e remove the (-1) in the denominator in placks law.

Wiens radiation law is for small wavelengths, and Rayleighs is for large. Planck is for all.
Now try figure out WHY the (-1) is removed in order to get Wiens law from placks law.
 

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