1. A hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n=3. (a) What is the energy of the absorbed photon? (b) If the atom returns to the ground state, what photon energies could the atom emit?
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- 10. The energy states of an electron in a hydrogen atom is given by: -13.6 eV En Which of the following is not a possible energy of an emitted photon of the atom for an electron that is initially at n = 4? 0.66 eV 1.89 eV 2.55 eV 12.8 eVAn electron in a hydrogen atom makes a transition from the first excited state to n = 5. Find the frequency and wavelength of the photon involved in this transition. Is the photon emitted or absorbed? Explain your answer.A electron in a hydrogen atom transitions from the n=2 energy level to the ground state (n=1). What is the energy of the photon emitted? Give your answer in eV.
- 1. The two prominent yellow lines in the spectrum of sodium result from transitions to the ground state from the 3p state with the electron spin-up, and from the 3p state with the electron spin-down. The wavelengths these two lines are 589.0 nm and 589.6 nm. (a) Calculate the energies in eV of the photons corresponding to these wavelengths, and the difference in energy of these photons AE. (b) The energy difference you found in part (a) is due to the spin-orbit effect. An electron in the 3p state of sodium experiences an internal magnetic field B, due to the orbital angular momentum. For a magnetic field B₁, the spin-orbit energy splitting is AE = 2µBB₁, where B is the Bohr magneton. Find the orbital magnetic field By from the energy difference AE you found in part (a).11. In the Balmer series, during which of the following energy state changes of the hydrogen atom is the photon with the most energy emitted? (A) n = 5 directly to n = 2 (B) n = 4 directly to n = 2 (C) n = 2 directly to n = 4 (D) n = 2 directly to n = 5 12. What is the minimum energy needed to ionize a hydrogen atom when it is in the n = 2 state? (A) 1.9 eV (B) 3.4 eV (C) 12.2 eV (D) 13.6 eV2. Below are the energies of the first 6 energy levels in Lithium as well as the energies of 6 photons. How many of the photons can be created by an electron that transitions between the any two of the first 6 energy levels in Lithium? En (eV) n 1 2 3 4 5 6 -122.4 -30.6 -13.6 -7.65 -4.896 -3.4 Photon Energies (eV) 108.8 2.754 12.562 27.2 47.29 17.0
- 2. A photon is emitted from a hydrogen atom that undergoes an electronic transition from the state n=3 to the state n =2. Calculate (a) the energy, (b) the wavelength, and (c) the frequency of the emitted photon.1a) Use the table below to determine the energy in eV of the photon absorbed when an electron jumps up from the n = 1 orbit to the n = 2 orbit of a hydrogen atom. =_________ eV 1b ) Use the table shown below to determine the energy in eV of the photon emitted when an electron jumps down from the n = 3 orbit to the n = 2 orbit of a hydrogen atom.=___________ eVThe Balmer series in hydrogen includes the Paschen series. has four lines in the ultraviolet. O includes both the Paschen series and the Lyman series. O has four lines in the visible. O includes the Lyman series.