Derivation of WIEN, engineering homework help

  

Hi, This is modern physics engineering question. I would like it to be solved by your own + I need explanation to the answer. because I need to understand the materials.
20160908002635derivation_of_wien.docx

Unformatted Attachment Preview

DERIVATION OF WIEN’S DISPLACEMENT LAW
Start with Planck’s original formula for the specific energy density of blackbody
radiation (see footnote on the bottom of page 73 of your text);
( , ) =
1
5
(
1

⁄
− 1
)
where a = hc/kT.
a) We want the value of the peak wavelength, max . This will occur when
du/d =0. Show that this leads to
5 (1 −
− ⁄
)
= /
b) This can be solved for a/ by trial and error in a few iterations with a
calculator. (Try various values of a/ on the LHS until you match the
RHS to four significant figures. DON’T use Mathematica to solve! Wien
didn’t have one of those!)
c) Show that this numerical solution implies that max T = constant, and
find the value of the constant.
This problem is from Modern Physics by Paul Tipler and Ralph Llewellyn, W.H.
Freeman, 6th ed. 2012
(No, the answer is not there.)
…
Purchase answer to see full
attachment