PHYS 1002 Exam Equation Review
With Complete Solutions
-Find the amount of radiation of heat at the rate of dQ/dt - ANSWER What is the
purpose of the Thermal Radiation Equation?
dQ/dt = eoAT^4
o=5.67x10^-8 Stefan-Boltzmann Constant
A=Area
T=Temp (Deg K) - ANSWER Thermal Radiation
-Gives a wavelength corresponding to the peak of the intensity graph - ANSWER
What is Wein's Law?
Lambda = 2.90x10^6 nm K/T
T=Temp (Deg K) - ANSWER Wein's Law
-Describes every wavelength in the emission spectrum of hydrogen - ANSWER
What is Balmer's Formula?
Lambda = 91.18nm/(1/m^2 - 1/m^2)
m =1,2,3
n = any integer greater than m - ANSWER Balmer's Formula
-If a material particle of momentum p=mv has wave-like nature, then its
wavelength is given by de Broglie Wavelength - ANSWER What is de Broglie
Wavelength?
Lambda = h/p = h/mv
p=Plank's Constant
m= mass of particle
v= velocity of particle - ANSWER de Broglie Wavelength
-Kinetic energy of a particle in a confined space - ANSWER What is the
Fundamental Quantum of Energy?
E_n=1/2mv^2 = n^2(h^2/8mL^2)
n=1,2,3 (number of antinodes)
L=length of box
h=plank's constant - ANSWER Fundamental Quantum of Energy
, If an atom jumps from an initial state to a final state, energy will be conserved
and must have frequency - ANSWER What is photon frequency?
f_proton = E_atom/h
E_atom = E_f-E_i
h= planks constant - ANSWER Photon Frequency
-Radius of an electrons orbit in hydrogen - ANSWER What is Bohr's Radius?
r_n = n^2a_B
n=1,2,3
a_B= 5.29x10^-11 m - ANSWER Bohr's Radius
v_n = nh_Bar/mr_n = v1/n
n=1,2,3
v1 = 2.19x10^m/s - ANSWER Possible Electron Speeds
E_n=13.60eV/n^2
n=1,2,3 - ANSWER Energy levels of the stationary states of the hydrogen atom
L=nh_bar
n=1,2,3
hbar=1.05x10^-34 - ANSWER Angular momentum of an orbiting electron
Lambdan->m = Lambda_0/(1/m^2 - 1/n^2)
Lambda_0=91.18nm
m=1,2,3
n=Any integer greater than m - ANSWER Wavelengths in the hydrogen emission
spectrum
V=-V_stop
V_stop = Stopping potential - ANSWER Potential difference that stops the
electron
K_max = E_elec-E_o
E_o=work function of metal - ANSWER Maximum kinetic energy of a
photoelectron
E=hf
h=planks
f=frequency - ANSWER Energy of a photon
hc/lambda - ANSWER Fequency of light
Lambda = h/mc (1-costheta)
With Complete Solutions
-Find the amount of radiation of heat at the rate of dQ/dt - ANSWER What is the
purpose of the Thermal Radiation Equation?
dQ/dt = eoAT^4
o=5.67x10^-8 Stefan-Boltzmann Constant
A=Area
T=Temp (Deg K) - ANSWER Thermal Radiation
-Gives a wavelength corresponding to the peak of the intensity graph - ANSWER
What is Wein's Law?
Lambda = 2.90x10^6 nm K/T
T=Temp (Deg K) - ANSWER Wein's Law
-Describes every wavelength in the emission spectrum of hydrogen - ANSWER
What is Balmer's Formula?
Lambda = 91.18nm/(1/m^2 - 1/m^2)
m =1,2,3
n = any integer greater than m - ANSWER Balmer's Formula
-If a material particle of momentum p=mv has wave-like nature, then its
wavelength is given by de Broglie Wavelength - ANSWER What is de Broglie
Wavelength?
Lambda = h/p = h/mv
p=Plank's Constant
m= mass of particle
v= velocity of particle - ANSWER de Broglie Wavelength
-Kinetic energy of a particle in a confined space - ANSWER What is the
Fundamental Quantum of Energy?
E_n=1/2mv^2 = n^2(h^2/8mL^2)
n=1,2,3 (number of antinodes)
L=length of box
h=plank's constant - ANSWER Fundamental Quantum of Energy
, If an atom jumps from an initial state to a final state, energy will be conserved
and must have frequency - ANSWER What is photon frequency?
f_proton = E_atom/h
E_atom = E_f-E_i
h= planks constant - ANSWER Photon Frequency
-Radius of an electrons orbit in hydrogen - ANSWER What is Bohr's Radius?
r_n = n^2a_B
n=1,2,3
a_B= 5.29x10^-11 m - ANSWER Bohr's Radius
v_n = nh_Bar/mr_n = v1/n
n=1,2,3
v1 = 2.19x10^m/s - ANSWER Possible Electron Speeds
E_n=13.60eV/n^2
n=1,2,3 - ANSWER Energy levels of the stationary states of the hydrogen atom
L=nh_bar
n=1,2,3
hbar=1.05x10^-34 - ANSWER Angular momentum of an orbiting electron
Lambdan->m = Lambda_0/(1/m^2 - 1/n^2)
Lambda_0=91.18nm
m=1,2,3
n=Any integer greater than m - ANSWER Wavelengths in the hydrogen emission
spectrum
V=-V_stop
V_stop = Stopping potential - ANSWER Potential difference that stops the
electron
K_max = E_elec-E_o
E_o=work function of metal - ANSWER Maximum kinetic energy of a
photoelectron
E=hf
h=planks
f=frequency - ANSWER Energy of a photon
hc/lambda - ANSWER Fequency of light
Lambda = h/mc (1-costheta)
