Equations Flashcards
What is the equation for the speed of light in a vacuum?
c = speed of light
f = frequency
λ = wavelength
What is the equation for the energy of a photon?
E = energy
h = Planck’s constant
f = frequency
c = speed of light
λ = wavelength
What is the equation for the kinetic energy of an electron?
E = kinetic energy
mₑ = mass of the electron
v = velocity
What is the equation for the force on a charged particle in an electric field?
F = force
q = charge of particle
E = electric field (= potential difference/separation)
What is the equation for the work done on a charged particle?
W = work done
q = charge of particle
V = potential difference
What is the energy-mass equivalence equation?
E = energy
m = mass
c = speed of light
What is the equation for the relativistic kinetic energy of a particle?
E = kinetic energy
mₒ = rest mass of the electron
c = speed of light
v = velocity
What is the equation for the energy of the photon that is emitted when an electron moves between energy levels in an atom?
E = energy
h = Planck’s constant
c = speed of light
λ = wavelength
R = Rydberg’s constant = 1.0974 x 10⁷ m⁻¹
n₁, n₂ = energy levels
What is the equation for the energy of an emitted photoelectron in the photoelectric effect?
E = kinetic energy
h = Planck’s constant
c = speed of light
λ = wavelength
Φ = work function = ionisation potential
What is the equation for the total weight of the constituent parts of an atom?
W = total weight
Z = atomic number
A = number of nucleons (protons + neutrons)
mₑ = electron mass
mₚ = proton mass
mₙ = neutron mass
What is the equation for binding energy?
BE = binding energy
W = total weight
M = actual mass
What is the equation for binding energy per nucleon?
E = binding energy per nucleon
W = total weight
M = actual mass
A = number of nucleons
What is the equation for the energy of the scattered gamma photon in Compton scatter?
E’ = final energy
E’ = initial energy
mₑ = electron mass
c = speed of light
θ = scatter angle
What is the equation for the energy of the scattered (recoil) electron in Compton scatter?
E’ₑ = final electron energy
Eᵧ = initial gamma energy
E’ᵧ = final gamma energy
mₑ = electron mass
c = speed of light
θ = scatter angle
What is the equation for the total kinetic energy of pair production?
KE = Eᵧ - 2 * 511keV
KE = total kinetic energy of positron and electron
Eᵧ = energy of gamma photon
What is the differential equation for Beer’s law?
I(x) = intensity
x = distance
µ(x) = linear attenuation coefficient
What is the equation for Beer’s law?
I(x) = intensity
x = distance
I₀ = initial intensity
µ(x) = linear attenuation coefficient
What is the equation for the mass attenuation coefficient?
C = mass attenuation coefficient
µ = linear attenuation coefficient
ρ = material density
What is the equation for the range of an alpha particle in air at STP?
R = range in air
E = particle energy (MeV)
What is the equation for the range of an alpha particle in a material at STP?
Rₐᵢᵣ = range in air
ρₐᵢᵣ = density of air
Aₘ = atomic mass of material
Rₘ = range in material
ρₘ = density of material
Aₐᵢᵣ = atomic mass of air