Physics 202H Spring 2010 Final Exam Formula Sheet

Angular magni…cation: m e = 25
f e
Total magni…cation: m = m 0 m e
Telescope: M =
f0
f e
Double slit interference m = d sin ! m = d y L
for a bright spot at y and
m + 1 2
for a dark spot
From lower to higher index (single phase shift): maxima: m + 2 1 = 2nt,
minima: m = 2nt (conditions invert for double phase shift: higher to higher
index)
Single slit di¤raction a sin = m
Rayleigh criterion for resolution min = 1:22 D
Malus’law for polarization I = I m cos 2
Brewster’s angle tan B = nt
n i
Wavelengths 0
= n
Frequency to index of refraction f = c
n
Semester 2 (phys202) - Atomic Physics
Bragg di¤raction n = 2d sin
Activity A = N; (A 0 = N 0 )
Exponential decay: N = N 0 e t
Radioactive decay (in terms of half-life) N = N 0 e 0:693 t 1=2
Energy Quantization: E = hf = hc
Electron de‡ection by an electric …eld (constant v 0 ) tan B = eEl
mv0
2
Electron de‡ection by a magnetic …eld (constant v 0 ) tan E = eBl
mv 0
Work function = hf KE
Wien’s blackbody radiation law T = 2:90 10 3 m K
Angular momentum ! L = ! r ! p = mvr n = nh
2
Bohr radius r n = "0n2 h 2
me 2
me
Bohr energy E tot = 4
8" 2 0 n2 h 2 3
t