Homework Answers
e) Sketch the n = 1, and n = 2 energy levels for a hydrogen atom...
e) Sketch the n = 1, and n = 2 energy levels for a hydrogen atom in a magnetic field. Indicate three possible transitions with solid lines. Indicate three forbidden (or at least highly suppressed) transitions with dotted lines, and state why they are forbidden. (Ignore fine and hyperfine structure.)
Review questions, must show your work: A scientist is trying to eject electrons from a metal...
Review questions, must show your work: A scientist is trying to eject electrons from a metal by shining a light on it. The electrons are bound inside the metal need energy of 2.0 eV to escape. Which wavelength will eject electrons? a. 350 nm b. 420 nm c. any of these d. 600 nm e. none of these (Write a possible answer in …) The Pauli Exclusion Principle says that… The orbital quantum number l determines the (a) direction of...
Consider the real energy levels of hydrogen which include the fine structure (relativistic spin orbit coupling)...
Consider the real energy levels of hydrogen which include the fine structure (relativistic spin orbit coupling) (a) If the system is placed in a strong magnetic field of about 40000 Gauss, how many levels does the n=3 state splits into? (b) What is the energy difference (in eV) between them? The energy levels of the hydrogen atom including the fine structure correction (but excluding Zeeman effect corrections) can be written as
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron f...
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron falls back to the lower energy levels, light is emitted. What are the three longest-wavelength spectral lines emitted by the hydrogen atom as it returns to the n = 1 state from higher energy states? Give your answers to three significant figures. The lowest possible state, n = 1, corresponds to the electron in its smallest possible orbit; it...
A certain type of atom (not hydrogen) has three energy levels numbered 1, 2, and 3,...
A certain type of atom
(not hydrogen) has three energy levels numbered 1, 2, and
3, as shown in the upper illustration. There are three possible
transitions between these levels that lead to emission of a photon:
3 ® 1, 3 ® 2, and 2 ® 1.
The lower illustration shows the emission spectrum from a gas of
these atoms. There are three emission lines, A, B, and C.
(a) Rank the photons emitted in the transitions 3 ®...
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalou...
quantum mechanics
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
7. The energy levels of the hydrogen atom in the absence of external magnetic field are given by ...
7. The energy levels of the hydrogen atom in the absence of external magnetic field are given by 13.6eV Consider a hydrogen atom at the ground state illuminated by light with frequency v (a). What should this frequency be for the atom to jump to the first excited state? Compute v if Planck's constant is h-6.63 x 1034 Js. (b). What will happen if the frequency of light is twice the frequency computed in (a)?
7. The energy levels of...
The figure shows part of the energy level diagram of a certain atom. The energy spacing between levels 1 and 2 is twice that between 2 and 3
Part A) The figure shows part of the energy level diagram of a certain atom. The energy spacing between levels 1 and 2 is twice that between 2 and 3. If an electron makes a transition from level 3 to level 2, the radiation of wavelength A is emitted. What possible radiation wavelengths might be produced by other transitions between the three energy levels?Part B)What is the energy required to remove the electron from a hydrogen atom in the n 11...
11.17 A positronium atom is a hydrogen-like atom with a positron (m = meq = te,...
11.17 A positronium atom is a hydrogen-like atom with a positron (m = meq = te, spin 1/2) as a nucleus and a bound electron. The hyperfine structure in the ground state of positronium is described by a perturbation Hamiltonian H' = AS, S/hwhere S, are the spins of the elec- tron and positron. a) What is the Bohr energy of the ground state of positronium (ignore hyperfine structure for now)? b) The electron and positron spins can be coupled...
Problem 2. (30 points) (a) (3 points) The Stark effect (shift of energy levels by a constant external electric field) i...
Problem 2. (30 points) (a) (3 points) The Stark effect (shift of energy levels by a constant external electric field) in atom is usually observed to be quadratic in the field strength. Explain why. (b) (3 points) But for some states of the hydrogen atom, the Stark effect is observed to be linear in the field strength. Explain why. (c) Ilustrate by making a perturbation calculation of the Stark effect of an electric field E Ez to lowest non-vanishing order...
e) Sketch the n = 1, and n = 2 energy levels for a hydrogen atom in a magnetic field. Indicate three possible transitions with solid lines. Indicate three forbidden (or at least highly suppressed) transitions with dotted lines, and state why they are forbidden. (Ignore fine and hyperfine structure.)
Consider the real energy levels of hydrogen which include the fine structure (relativistic spin orbit coupling) (a) If the system is placed in a strong magnetic field of about 40000 Gauss, how many levels does the n=3 state splits into? (b) What is the energy difference (in eV) between them? The energy levels of the hydrogen atom including the fine structure correction (but excluding Zeeman effect corrections) can be written as
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron falls back to the lower energy levels, light is emitted. What are the three longest-wavelength spectral lines emitted by the hydrogen atom as it returns to the n = 1 state from higher energy states? Give your answers to three significant figures. The lowest possible state, n = 1, corresponds to the electron in its smallest possible orbit; it...
A certain type of atom
(not hydrogen) has three energy levels numbered 1, 2, and
3, as shown in the upper illustration. There are three possible
transitions between these levels that lead to emission of a photon:
3 ® 1, 3 ® 2, and 2 ® 1.
The lower illustration shows the emission spectrum from a gas of
these atoms. There are three emission lines, A, B, and C.
(a) Rank the photons emitted in the transitions 3 ®...
quantum mechanics
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
3 Sketch the energy-level diagram for the 3P state of the hydrogen atom considering the (anomalous Zeeman effect due to a weak magnetic field and write down the magnitude of the energy for each level.
7. The energy levels of the hydrogen atom in the absence of external magnetic field are given by 13.6eV Consider a hydrogen atom at the ground state illuminated by light with frequency v (a). What should this frequency be for the atom to jump to the first excited state? Compute v if Planck's constant is h-6.63 x 1034 Js. (b). What will happen if the frequency of light is twice the frequency computed in (a)?
7. The energy levels of...
11.17 A positronium atom is a hydrogen-like atom with a positron (m = meq = te, spin 1/2) as a nucleus and a bound electron. The hyperfine structure in the ground state of positronium is described by a perturbation Hamiltonian H' = AS, S/hwhere S, are the spins of the elec- tron and positron. a) What is the Bohr energy of the ground state of positronium (ignore hyperfine structure for now)? b) The electron and positron spins can be coupled...
Problem 2. (30 points) (a) (3 points) The Stark effect (shift of energy levels by a constant external electric field) in atom is usually observed to be quadratic in the field strength. Explain why. (b) (3 points) But for some states of the hydrogen atom, the Stark effect is observed to be linear in the field strength. Explain why. (c) Ilustrate by making a perturbation calculation of the Stark effect of an electric field E Ez to lowest non-vanishing order...
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