Download Formula Sheet, PHYS 101, Final Exam Includes the important

Formula Sheet, PHYS 101, Final Exam
Includes the important numbered equations from Chapters 8-10
(Will be provided in hardcopy form to all students at test)
1) Equation 8.1, Wien’s Law: λpeak = 0.0029/T,
λpeak is the peak wavelength of the blackbody spectrum (in meters), T is the temperature of
the blackbody (in Kelvin)
2) Equation 8.2, Stefan-Boltzmann Law: F = σT4
F is the flux at the surface of the blackbody (in Watts/m2), σ is the Stefan-Boltzmann
constant, T is the temperature of the blackbody (in Kelvin)
3) Equation 8.3, luminosity of a spherical blackbody: L = 4πR2σT4
L is the luminosity of the blackbody (in Watts), R is the radius of the blackbody (in
meters), σ is the Stefan-Boltzmann constant, T is the temperature of the blackbody (in
Kelvin)
4) Equation 9.7, Energy-mass conversion equation: E = mc2
m is the mass converted to energy (in kg), c is the speed of light, E is the amount of energy
released (in Joules).
5) Equation 9.13, Proton-Proton chain, first step: 1H + 1H → 2H + e+ + ν
H is Hydrogen, e+ is a positron, ν is a neutrino.
6) Equation 9.14, Proton-Proton chain, second step: 1H + 2H → 3He + γ
H is Hydrogen, He is Helium, γ is a gamma-ray.
7) Equation 9.15, Proton-Proton chain, third step: 3He + 3He → 4He + 1H + 1H
H is Hydrogen, He is Helium.
8) Equation 10.1, approximate age of the universe: t = 1/H0
t is the age of the universe, H0 is the Hubble constant. Remember that for this formula to
work, the Hubble constant must first be rewritten so that the units of distance in the
numerator and denominator cancel each other out.
Important Constants and Conversions:
σ = 5.67x10-8 Watts/m2 K4
c = 3x108 meters/s
H0 = 71 (km/s)/Mpc
1 Megaparsec = 3.09x1019 km