Physics
posted by Chi .
A hydrogen atom is in its third excited state (n=4). Using Bohr theory of the atom calculate (a) the radius of the orbit, (b) the linear momentum of the electron, (c) the angular momentum of the electron (d) the kinetic energy (e) the potential energy, and (f) the total energy. (g) if the electron jumps to the ground state, what is the wavelength of the emitted photon?

r(n) = ε(o) •h^2•n^2/π•m•e^2 =
=5.3•10^11•n^2 =5.3•10^11•16 =
=8.48•10^10 m.
v(n) = e^2/2• ε(o) •h•n=
=2.19•10^6/n =5.475•10^5 m/s.
p(n)=e•v(n) =1.6•10^19•5.475•10^5 =
=8.77•10614 kg•m/s.
L =m•v(n)•r(n) =n•h/2• π =4.22•10^34 kg•m^2/s.
E(total) = (1/4•π•ε(o)) •(e^2/2•r(n)) = 13.6/n^2 =
=  0.85 eV =  13.6•10^19 J.
KE =  E(total) = = + 0.85 eV = + 13.6•10^19 J.
PE = 2•E(total) =  1.7 eV =  2.72•10^19 J.
1/λ = R•(1/1^2 – 1/n^2) =3•R/4,
λ =4/3•R=1.2•10^7 m (Paschen series, infrared band)
Respond to this Question
Similar Questions

physics
A hydrogen atom is in its n = 6 excited state. Determine, according to quantum mechanics, each of the following: (a) The total energy =eV (b) The magnitude of the maximum angular momentum the electron can have in this state =J s (c) … 
physics
A hydrogen atom is in its n = 6 excited state. Determine, according to quantum mechanics, each of the following: (a) The total energy =eV (b) The magnitude of the maximum angular momentum the electron can have in this state =J s (c) … 
mojo
A hydrogen atom is in its elevnth excited state, n = 12. Using the Bohr model of hydrogen, find the linear momentum. You want to solve for the electron velocity and multiply that by the electrn mass. There are many ways to do this. … 
physics
Please help me answer the question below and also show equations and steps of how you came to your answer. Thank you 1. The electron in a hydrogen tom is in the first excited state, when the electron acquires an additional 2.86eV of … 
Physics
Please help me answer the question below and also show equations and steps of how you came to your answer. Thank you 1. The electron in a hydrogen tom is in the first excited state, when the electron acquires an additional 2.86eV of … 
Physics
The allowed orbits for the electron around the nucleus of the hydrogen atom are explained by de Broglie as ... a. Quantized values for the total energy of the electron in the atom b. Quantized values for the angular momentum of the … 
physics
Hydrogen atom is initially in the ground state. It is excited by a photon bombardment and it then undergoes a transition from n = 3 to n=2 state. a) What is the frequency of the bombarding photon? 
Physics/electricity
In the Bohr model of the hydrogen atom, an electron in the 2nd excited state moves at a speed of 5.48X10^5 m/s in a circular path having a radius of 2.12X10^10 m. What is the effective current associated with this orbiting electron? 
physics
) A hydrogen atom has its electron in the n = 5 level. The radius of the electron's orbit in the Bohr model is 1.323 nm. Find the de Broglie wavelength of the electron under these circumstances. What is the momentum, mv, of the electron … 
physics
(a) A hydrogen atom has its electron in the n = 5 level. The radius of the electron's orbit in the Bohr model is 1.323 nm. Find the de Broglie wavelength of the electron under these circumstances. (b) What is the momentum, mv, of the …