Black Body Radiation - graphical trend

In summary, the conversation discusses the Planck Distribution function for a blackbody and the question asks to sketch its behavior and explain the trends. The function includes an inverse and exponential component, which can be observed by plotting the function separately. It is important to consider the low and high frequency parts of the function and to draw it as a function of frequency rather than wavelength.
  • #1
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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  • #2
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...
 

What is black body radiation?

Black body radiation refers to the electromagnetic radiation emitted by an object at a certain temperature. It is a type of thermal radiation that is emitted by all objects, regardless of their composition or state of matter.

How is the graphical trend of black body radiation represented?

The graphical trend of black body radiation is typically represented by a curve on a graph, with the intensity of radiation on the vertical axis and the wavelength or frequency of radiation on the horizontal axis.

What does the shape of the black body radiation curve indicate?

The shape of the black body radiation curve indicates the distribution of radiation at different wavelengths or frequencies. It follows the Planck's law, which states that the intensity of radiation increases with increasing frequency until it reaches a peak and then decreases with further increasing frequency.

How does the temperature of an object affect its black body radiation curve?

The temperature of an object affects its black body radiation curve in two ways. First, the peak of the curve shifts to shorter wavelengths or higher frequencies with increasing temperature. Second, the total area under the curve, which represents the total energy emitted, increases with increasing temperature.

Why is understanding black body radiation important in physics?

Understanding black body radiation is important in physics as it helps to explain the behavior of objects at different temperatures and their emission of electromagnetic radiation. It also plays a crucial role in the development of quantum mechanics and the study of thermodynamics.

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