10. If the ground state of an electron in a hydrogen-like atom has an energy of -x eV, which of the following is the energy of one of the excited states?
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- 2. Consider an electron in a hydrogen atom that is transitioning from the n = 2 to the n = 6 level.What is the wavelength (in nm) of the photon associated with this transition?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.Which of these expressions would yield the wavelength of light in meters emitted when an electron drops from orbit n = 3 to n = 2 in a Bohr hydrogen atom? Given h = 4.14 x 10-15 eVs and c = 3.00 x 108 m/s. a. 1.89/hxc b. hc/1.89 c. 1.89 x h x c d. (1.51 + 3.4)/hc e. hc/3.44. An H-atom is in is state. a. What is the probability that the electron is found in sphere given by r ≤ ao b. What is (r) ? c. calculate ().
- 5. Identify all the different total angular momentum states (j, m;) for an electron in the 4f state of a hydrogen atom.Describe your approach to determining the distance between the electron and proton in an atom if the potential energy U of the electron is known to be 14 eV. а. Use the law of conservation of energy. b. Use Coulomb's law. С. Use the definition of electrostatic potential energy U of one point charge q at position r in the presence of an electric potential. d. Use Newton's second law.6.An atomic hydrogen atom is immersed in a magnetic field of 12.44 T. For the 2p to 1s transition more than one line will appear due to the Zeeman effect. What is the smallest wavelength separation of these lines? (in units of picometers (pm)).
- an electron in a hydrogen atom is in a state with principal quantum number n = 3. a) what is the largest orbital angular momentum it can have? b) which values of the z - component of the angular momentum are allowed with this total momentum? (leave answers in units of h bar) c) the electron transitions to the n = 2 energy level, emitting a photon. what is that photon's length?7. When an electron transitions from the third excited state to the ground state in a hydrogen atom, the energy emitted in one photon is: A. 12.7 eV B. 10.5 eV C. 3.6 eV D. 0 eV