Multiple Choice
Calculate the wavelength of the radiation released when an electron moves from n = 4 to n = 2 in a hydrogen atom using the Bohr equation.
9. Quantum Mechanics
Bohr Equation
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For the electronic transition from n = 3 to n = 8 in the hydrogen atom, calculate the energy change using the Bohr equation.
A
2.18 eV
B
0.66 eV
C
1.51 eV
D
-0.85 eV
Verified step by step guidance1
Identify the initial and final energy levels for the transition: n_initial = 3 and n_final = 8.
Use the Bohr equation for energy levels in a hydrogen atom: E_n = -13.6 eV / n^2, where E_n is the energy of the electron at level n.
Calculate the energy of the electron at the initial level (n = 3) using the formula: E_3 = -13.6 eV / (3^2).
Calculate the energy of the electron at the final level (n = 8) using the formula: E_8 = -13.6 eV / (8^2).
Determine the energy change (ΔE) for the transition by subtracting the initial energy from the final energy: ΔE = E_8 - E_3.
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