Test Information for Final Exam:
New formulas to memorize:
Images
1 1 1
 
p q f
Reflection
i   r
Snell’s Law
n1 sin 1  n2 sin  2
sin  c  n2 n1
Diffraction
 min   a
Diffraction
Grating
sin   m d
Light in materials
 k f vc n
Quantum
E  hf
p  h
h
xp 
4
 min   D
You must memorize
that m is any integer,
except it can’t be
zero for diffraction
New formulas to know how to use, but you need not memorize:
Focal Length
f  12 R
2-Slit Interference
sin  bright  m d
1  n2   1 1 
   1   
f  n1   R1 R2 
  d sin  
I  I max cos 2 
 

Magnification
M  h h   q p
m   0
Telescope
Magnification
m  fo fe
 sin  a sin    
I  I max 

  a sin   
X-Ray Scattering
2d cos   m
Units
A = C/s
N/C = V/m
F = C/V
 = V/A
T = N/A/m
H = Vs/A
 B  BA
Gauss’s Laws
q
 E  nˆ dA  in
0
 B  nˆ dA  0
2
h  4.136  1015 eV  s
Compton Scattering
h
   
1  cos  
mc
Current &
Resistance
ke q
r
V
Ex  
x
dQ
dt
V  IR
Capacitance
Q  C V
In a medium, c, f, and  stay
constant, but v, k, and  can change.
  0 n
Brewster’s
Angle
tan  P  n2 n1
Constant
h  6.626  1034 J  s
Potential
U  qV
V
Thin Film
2tWeak   m
Position on a screen
x  L tan   L sin 
Diffraction
sin  dark  m a
Old formulas to memorize:
E & M Force
Flux
Definitions
F  q E  v  B
 E  EA
Electric Field
k qrˆ
E e2
r
Diffraction Grating
mN   
I
  I  V 
Inductors
dI
  L
dt
Faraday’s Law
dB
 
dt
Kirchoff’s
Laws
 Iin   I out
0   V
loop
Frequency &
wavelength
  2 f
f 1 T
k   2
Additional Information:
 Test is Wednesday, May 6, 9:00 – 11:40, here in Olin 101
o Bring a metric ruler, a pencil, and a calculator
 You are responsible for using any formula that appeared on previous information sheets,
both memorized and provided. However, if needed, they will be provided
o Pay special attention to old memorized formulas; these are probably most
important to me
 You are still expected to know the categories of EM radiation, in order, including at least
six colors from the visible spectrum
 For optics, you should know how to do ray tracing, as well as direct calculations using
formulas.
 This test is out of 200 points – it is twice as long as other tests
New Material for Final Exam:
Chapter 35
Reflection and Refraction
Chapter 36
Images
Chapter 37
Interference
Chapter 38
Diffraction and Polarization
Chapter 40
Quantum Mechanics
Organization of the Test:
Part I: Multiple Choice (mixed old and new material) [50 points]
For each question, choose the best answer (2 points each) [questions 1-25]
Part II: Short answer (old material) [20 points]
Choose two of the following three questions and give a short answer (1-3 sentences) (10
points each).
[questions 26-28]
Part III: Short answer (new material) [30 points]
Choose three of the following four questions and give a short answer (1-3 sentences) (10
points each) [questions 29-32]
Part IV: Calculation (old material) [40 points]
Choose two of the following three questions and perform the indicated calculations (20
points each) [questions 33-35]
Part V: Calculation (new material) [60 points]
Choose three of the following four questions and perform the indicated calculations (20
points each) [questions 36-39]