Undergrad How to Show 25% of Cavity Radiant Energy Between 0 and Peak Wavelength?

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To demonstrate that approximately 25% of the radiant energy in a cavity is concentrated between 0 and the maximum energy wavelength, one can refer to blackbody radiation principles. The maximum energy wavelength corresponds to the peak intensity of the emitted spectrum. Integrating the spectral distribution over the relevant wavelength range can provide the necessary calculations. This approach aligns with Planck's law of blackbody radiation, which describes how energy is distributed across wavelengths. Accurate integration of the spectrum will yield the desired proportion of radiant energy.
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How to demonstrate that about 25% of the radiant energy in a cavity is concentrated between 0 and maximum energy wavelength?
How to demonstrate that about 25% of the radiant energy in a cavity is concentrated between 0 and maximum energy wavelength?
 
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Blackbody radiation?
By "maximum energy wavelength" you mean the wavelength with the largest intensity?
Did you try integrating over its spectrum?
 

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