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Multiple Choice
What is ΔE for the transition of an electron from n = 8 to n = 5 in a hydrogen atom using the Bohr equation?
A
-0.850 eV
B
-0.544 eV
C
-0.122 eV
D
-0.306 eV
Verified step by step guidance
1
Understand that the Bohr model describes the energy levels of electrons in a hydrogen atom using the formula: , where is the Rydberg constant for hydrogen (approximately 13.6 eV) and is the principal quantum number.
Calculate the initial energy level of the electron at using the formula: .
Calculate the final energy level of the electron at using the formula: .
Determine the change in energy for the transition by subtracting the final energy from the initial energy: .
Recognize that the negative sign in the result indicates that energy is released as the electron transitions to a lower energy level, which is consistent with the emission of a photon.