Q. 4 Find <r> and <r2>
for an electron in the first excited state of hydrogen
atom.
Q. 4 Find <r> and <r2> for an electron in the first excited state of hydrogen...
The electron in a hydrogen atom is in the first excited state, when the electron acquires an additional 2.86 eV of energy. What is the quantum number of the state into which the electron moves? a. 1 b. 2 c. 3 d. 4 e. 5
(a) Find (r) and (r2) for an electron in the ground state of hydrogen. Express your answers in terms of the Bohr radius a. If a measurement on r is performed for the ground state wavefunction, what is the most probable value? (b) Find (x) and (x2) for an electron in the ground state of hydrogen. Hint: This requires no new integration-note that r2 = x2 + y2 + z2, and exploit the symmetry of the ground state.
The electron from a hydrogen atom drops from an excited state into the ground state. When an electron drops into a lower-energy orbital, energy is released in the form of electromagnetic radiation. How much energy does the electron have initially in the n=4 excited state?
10. The electron in a hydrogen atom undergoes a transition from the 3rd excited state (n=4) to the ground state (n=1). How much energy, in eV, will be given off by the electron? Use three significant figures. Note that, for hydrogen, E1 -13.6 eV.
(20 points) Treat the hydrogen atom as a one-dimensional problem, where the electron is confined to the diameter of the atom in the first excited state (n-2). a.) Use the uncertainty principle to estimate the minimum kinetic energy of an electron in this state, assuming that the uncertainty in position equal to it's diameter. (Note: Relativistic corrections are not necessary). b.) Assuming this excited electron only remains in this state for 0.1 ns, before emitting a photon and returning to...
An electron in an excited state of a hydrogen atom emits two photons in succession, the first at 2624 nm and the second at 97.20 nm, to return to the ground state (n=1). For a given transition, the wavelength of the emitted photon corresponds to the difference in energy between the two energy levels. What were the principal quantum numbers of the initial and intermediate excited states involved?
An electron in the Hydrogen atom is in the excited state with energy E2. a) According to the Bohr model, what is the radius of the atom in this state, in Angstroms? b) What is the wavelength le of the electron, in Angstroms? c) What is the momentum of the electron, in kg-m/s ? d) This atom decays from the excited state with energy E2 to the ground state with energy E1 . What is the energy of the emitted photon?...
E-0.38 eV; E-0 eV) A. The electron will be raised from the ground state to the fifth "excited" state, i.e. ton-d. B. The electron will be raised from the ground state to an excited state with n larger than 6, but will still be bound in the atom. The electron in the atom will drop down to the ground state. C. The electron will be removed from the atom. A gamma ray photon Eo strikes a hydrogen atom. Which of...
A hydrogen atom has an excited electron in the n = 5 state. The electron descends to the n = 2 state. What is the energy level of the n = 5 state? What is the energy level of the n = 2 state? What is the wavelength of the emitted photon (3 sigfigs please)?
III. (12pts) The electron of a hydrogen atom is excited to the n= 5 state. (a) what is the Bohr radius of the electron? (b) what is the total energy of the electron? (c) what is the electron's Coulomb potential energy and kinetic energy?