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- 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).10. A singly ionized helium atom is in the ground state. It absorbs energy and makes a transition to the n = 3 excited state. The ion returns to the ground state by emitting three possible photons. What is the wavelength of the highest energy photon? 3 ƒ60 ssfo f60ª f60 ssf ) ssf60°QUESTION 45 In the Bohr model what is the ratio of the radius of orbit n = 2 to the radius of orbit n = 8? a. one/64 b. one-sixteenth In the Bohr model what is the ratio of the energy of orbit n = 12 to the energy of orbit n = 3? a. one/64 b. one-sixteenth
- 51) A photon of energy 1.24 eV is absorbed by a molecule. a) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? A..........cm B..........cm-1 The molecule transitions to an energy level of 0.24 eV, and emits a photon. b) What is the energy of the emitted photon (eV)? ..........eV c) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? C..........cm D..........cm-1 d) Find D-B in cm-1. ..........cm-1 The second photon of energy 1.14 eV is absorbed by the same molecule. e) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? E..........cm F..........cm-1 The molecule transitions to an energy level of 0.24 eV, and emits a photon. f) What is the energy of the emitted photon (eV)? ..........eV g) What is its wavelength in cm and the reciprocal of its wavelength in cm-1? G..........cm…1a. One photon of light emitted from a hydrogen lamp is measured to have an energy of 0.6618eV. What electron transition is responsible for this photon? Hint: one of the energy levels involved is n = 3. 1b. What is the emission spectrum for a given element and why do different elements have different emission spectra?2. 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
- 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/3.4Which 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 108m/s. a. 1.89 x h x c b. hc/3.4 c. (1.51 + 3.4)/hc d. hc/1.89 e. 1.89/hxc6.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)).
- Which of the following principal levels contains / (angular momentum quantum number) = 3? A. n = 2 level B. both n = 3 and n = 4 levels C. n = 3 level D. n = 4 level How many orbitals are contained in the n = 3 principal number of a given atom? What is the value of the angular momentum quantum number of a d orbital?3. The mass attenuation coefficient of copper is 0.0589 cm2/g for 1.0-MeV photons. Find required thickness of the protective copper shield in order to achieve 50 % reduction of X-Ray radiation intensity. The density of copper is 8.9 g/cm3. Kindly give elaborate and Explained answer .