Multiple Choice
For the electronic transition from n = 3 to n = 8 in the hydrogen atom, calculate the energy change using the Bohr equation.
9. Quantum Mechanics
Bohr Equation
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What is the energy change of a hydrogen atom undergoing a transition from n=1 to n=3 according to the Bohr model?
A
-1.51 eV
B
0.85 eV
C
-13.6 eV
D
12.09 eV
Verified step by step guidance1
Understand that the Bohr model describes the energy levels of electrons in a hydrogen atom using quantized orbits. The energy of an electron in a given orbit is given by the formula: , where is the principal quantum number.
Identify the initial and final energy levels for the transition. In this problem, the electron transitions from to .
Calculate the energy of the electron in the initial state () using the formula: .
Calculate the energy of the electron in the final state () using the formula: .
Determine the energy change by subtracting the energy of the initial state from the energy of the final state: . This will give you the energy change for the transition.
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