Question

An alkali metal atom is in the ground state. The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron. A magnetic field is applied that splits the ground state energy level into two levels, 65 ?eV apart. A photon, absorbed by the atom, induces a transition between the two levels. What is the wavelength of the photon? (c = 3.00 × 10^8 m/s, h = 6.626 × 10^-34 J • s, Bohr magneton = ?B = 9.27 × 10^-24 J/T, 1 eV = 1.60 × 10^-19 J) 25 mm 19 mm 41 mm 31 mm 38 mm

          An alkali metal atom is in the ground state. The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron. A magnetic field is applied that splits the ground state energy level into two levels, 65 ?eV apart. A photon, absorbed by the atom, induces a transition between the two levels. What is the wavelength of the photon? (c = 3.00 × 10^8 m/s, h = 6.626 × 10^-34 J • s, Bohr magneton = ?B = 9.27 × 10^-24 J/T, 1 eV = 1.60 × 10^-19 J)
25 mm
19 mm
41 mm
31 mm
38 mm

An alkali metal atom is in the ground state. The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron. A magnetic field is applied that splits the ground state energy level into two levels, 65 ?eV apart. A photon, absorbed by the atom, induces a transition between the two levels. What is the wavelength of the photon? (c = 3.00 × 10^8 m/s, h = 6.626 × 10^-34 J • s, Bohr magneton = ?B = 9.27 × 10^-24 J/T, 1 eV = 1.60 × 10^-19 J)
25 mm
19 mm
41 mm
31 mm
38 mm

Added by Rosario A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Shaiju T

06/16/2022

Step 1

Given that the energy levels are split by 65 peV (65 x 10^-12 eV) and the energy is entirely due to the single valence electron, the energy can be calculated as: Energy = 65 x 10^-12 eV x (1.6 x 10^-19 J/eV) Energy = 1.04 x 10^-23 J Show more…

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An alkali metal atom is in the ground state. The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron. A magnetic field is applied that splits the ground state energy level into two levels, 65 μeV apart. A photon absorbed by the atom induces a transition between the two levels. What is the wavelength of the photon? (c = 3.00 * 10^8 m/s, h = 6.626 * 10^-34 J * s, Bohr magneton = μB = 9.27 * 10^-24 J/T, 1 eV = 1.60 * 10^-19 J)