Final Exam Review: Chapter 13 and Color
Equations that will be given on the exam. All of the equations/constants from exam 3, plus the following:
E
hf
ehf kT  1
8  5k 4 4
u
T
15 h3c3
I
2  5k 4 4
T
15 h3c 2
8hf 3
f 
3

c e
hf k B T
 

1

5
e
max 
8 hc
hc  k BT

1
0.00290
m K
T
Equations that you won’t need to know by heart. (Or, if you do, I will give them in the problem statement.)
 Anything related to holography (we skipped that chapter)
 Incorrect equations in book’s blackbody treatment (Rayleigh-Jeans, etc.)
 The matrix transformations from (X,Y,Z) to/from original (R,G,B) or sRGB (R,G,B)
Equations/derivations/other stuff that you may need to know by heart. All of the items listed for exam 2, plus the
following (not an exhaustive list):
 That the Stefan-Boltzmann constant  is the stuff multiplying T4 in the I equation above. I.e. I = T4, as learned in
Phys 123 (for emissivity = 1)
 How to write out rate equations given energy levels and transition probabilities


X   x ( ) I ( )d 
(similarly for Y, Z, and R, G, B with their respective color matching functions); how to estimate
0


the integrals for a given spectrum
How to calculate x, y, z from X, Y, Z
(x,y)  hue (D) and saturation (purity)
Final Exam Review