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.
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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?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 eV
- 4. Describe the following energy state transition for an electron in a hydrogen atom. List the energy of the emitted photon, wavelength, its initial and final orbit. (a) n=3 to n = 1, (b) n=6 to n= 2, (c) n = 5 to n=3.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/3.46.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)).
- 1. Differentiate the three quantum numbers for an electron in the hydrogen atom and justify why the idea of an electron orbiting a proton has been abandoned.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