- #1
coneyaw
- 10
- 0
Homework Statement
f([tex]\lambda[/tex]) = [tex]\frac{8\pi hc\lambda ^{-5}}{e^{hc/\lambda kT}-1}[/tex]
Is Planck's Law
where
[tex]h\ =\ Planck's\ constant\ =\ 6.62606876(52)\ \times\ 10^{-34}\ J\ s;[/tex]
[tex]c\ =\ speed\ of\ light\ =\ 2.99792458\ \times\ 10^{8}\ m\ s^{-1};[/tex]
[tex]and\ Boltzmann's\ constant\ =\ k\ =\ 1.3806503(24)\ \times\ 10^{-23}\ J\ K^{-1}[/tex]
For my calculus class, I am asked to use a Taylor polynomial to show that the values for Planck's Law gives approximately the same values as the Raleigh-Jeans Law for large wavelengths [tex]\lambda[/tex].
Homework Equations
Basically I need some help regarding leading me in the right direction. I need to know how to pursue the correct center and basically someone to give me starting conditions, then I can figure the inequality and error on my own