Introductory Astronomy Question - function help

AI Thread Summary
The discussion revolves around finding a new expression for the function b(x) by eliminating the variables lambda and T. The function is defined as b(x) = h^4 * c^3 * U(sub-lambda) / 2*(kT)^5, where U(sub-lambda) represents the Planck Blackbody Function. Participants suggest substituting a known expression for U(sub-lambda) into the equation to simplify it. The conversation emphasizes the importance of referencing textbook or lecture notes for the appropriate expression for U(sub-lambda). Overall, the focus is on the mathematical manipulation required to achieve the desired function.
Heisenberg.
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The question asks to find a new expression for a function, by substituting suitable expressions for the elimination of lambda and T.
The function is:
b(x)= h^4 * c^3 * U(sub-lambda) / 2*(kT)^5
In this case:
U(sub-lambda)= U(sub-lambda)(lambda,T) - Planck Blackbody Function
x= lambda*k*T / h*c

I assume that there is some way to substitute some of the equations into the function - but I am at loss to see how - any help would be appreciated - Thank You
 
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Were you given an expression for Uλ(λ,T)? Perhaps in your textbook or lecture notes ... I think the next step would be to substitute that expression into the RHS of your b(x) equation here.
 
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