Calculating Spectral Range of Blackbody Radiation Intensity

AI Thread Summary
The discussion centers on calculating the spectral range Δλ where a blackbody's intensity B(1/2) exceeds half of its peak value B(peak). The user expresses confusion over using the Planck distribution and related laws, such as Wien's Law and the Stefan-Boltzmann Law, to solve the problem. They seek guidance on how to incorporate temperature (T) into their calculations. After some time, the user indicates they have resolved their issue. The thread highlights the importance of showing work in problem-solving for better assistance.
kbeach
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Hello! I am hoping someone could help.
I have no idea where to start on this, and have been flipping pages for an hour or so trying to figure it out.
Find the spectral range Δλ over which a blackbody's intensity B(1/2) is brighter than half of its peak value B(peak). (In other words, find the difference between the wavelengths where B(1/2) = B(peak)/2)

I have played with the Planck distribution for so long. Am I beating a dead horse? I can't seem to find out what to do with T in the plank distribution, weins law, stefan-bol... Some guidance please!
Thanks!

Planck Distribution B(λ) = [(2hc^2)/(λ^5)][1/(e^((hc)/(λkT))-1)]
Weins Law λ(max)=b/T

λ=wavelength
T=temperature
c=speed of light
h=planck's constant=6.62606957 × 10-34 (m^2 kg) / s
k=boltzmann constant=1.3806488 × 10-23 (m^2 kg)/(s^2 K)
b=wein's displacement constant=2.897768×10^-3 m K
 
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I have played with the Planck distribution for so long.
Please show your work then.
We cannot see what you did wrong if you don't do that.

I moved your thread to the homework section, as this is a homework-like question.
 
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Hey Sorry I for got to reply! I think i figured it out! Thanks for checking it out!
 
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