The energy levels of the Bohr model for the atom can be expressed mathematically as En = - 13.65 eV, where Z is the atomic number, and n is the quantum number. This model is reasonably accurate for hydrogen and for singly ionized helium.

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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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The energy levels of the Bohr model for the atom can be expressed mathematically as En = - 13.65 eV, where Z is
the atomic number, and n is the quantum number. This model is reasonably accurate for hydrogen and for singly
ionized helium.
The photon associated with the transition of an electron from the ground state to the first excited state is singly ionized
helium has a different wavelength than that associated with a similar transition in hydrogen. Which of the following
correctly described the wavelengths of these two photos in terms of the energy level diagrams for hydrogen and
helium?
(A) The photon absorbed by hydrogen has a longer wavelength than that absorbed by helium, because the energy
levels in the diagram for hydrogen are spaced farther apart than in the diagram for helium.
(B) The photon absorbed by hydrogen has a shorter wavelength than that absorbed by helium, because the energy
levels in the diagram for hydrogen are spaced farther apart than in the diagram for helium.
(C) The photon absorbed by hydrogen has a longer wavelength that that absorbed by helium, because the energy
levels in the diagram for hydrogen are more closely spaced than in the diagram for helium
(D) The photon absorbed by hydrogen has a shorter wavelength than that absorbed by helium, because the energy
levels in the diagram for hydrogen are more closely spaced than in the diagram for helium.
Transcribed Image Text:The energy levels of the Bohr model for the atom can be expressed mathematically as En = - 13.65 eV, where Z is the atomic number, and n is the quantum number. This model is reasonably accurate for hydrogen and for singly ionized helium. The photon associated with the transition of an electron from the ground state to the first excited state is singly ionized helium has a different wavelength than that associated with a similar transition in hydrogen. Which of the following correctly described the wavelengths of these two photos in terms of the energy level diagrams for hydrogen and helium? (A) The photon absorbed by hydrogen has a longer wavelength than that absorbed by helium, because the energy levels in the diagram for hydrogen are spaced farther apart than in the diagram for helium. (B) The photon absorbed by hydrogen has a shorter wavelength than that absorbed by helium, because the energy levels in the diagram for hydrogen are spaced farther apart than in the diagram for helium. (C) The photon absorbed by hydrogen has a longer wavelength that that absorbed by helium, because the energy levels in the diagram for hydrogen are more closely spaced than in the diagram for helium (D) The photon absorbed by hydrogen has a shorter wavelength than that absorbed by helium, because the energy levels in the diagram for hydrogen are more closely spaced than in the diagram for helium.
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