(a)
Energy emitted due to transition.
(a)
Answer to Problem 44E
The photon of energy emitted is
Explanation of Solution
Write the expression for energy of diatomic molecule.
Here,
Write the expression for change in energy due to transition.
Conclusion:
Substitute
Substitute
Substitute
Thus, the energy of photon emitted is
(b)
The wavelength of photon emitted.
(b)
Answer to Problem 44E
The wavelength of photon emitted is
Explanation of Solution
Write the expression for energy of photon emitted.
Here,
Rearrange the above expression for
Conclusion:
Substitute
Thus, the wavelength of photon emitted is
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Chapter 27 Solutions
General Physics, 2nd Edition
- The energy levels of the Bohr model for the atom can be expressed mathematically as En -13.6 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 in singly ionized helium has a different wavelength than that associated with a similar transition in hydrogen. Which of the following correctly describes the wavelengths of these two photons in terms of the energy level diagrams for hydrogen and helium? The photon absorbed by hydrogen has a longer 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. 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 more closely spaced than in the diagram for helium. The photon…arrow_forwardIn X-ray fluorescence (XRF), the energy of the characteristic Ka line of iron (Fe) is 6.405 keV. Calculate the wavelength (in Å) corresponding to this line and state what electronic transition this represents. (DATA: h = 6.626 x 10-34 J s; c = 2.998 x 108 m s-1; e = 1.602 x 10-19 C)arrow_forwardA sodium atom of mass 3.82 * 10^-26 kg vibrates with simple harmonic motion in crystal. The potential energy increases by 0.0075 eV when the atom is displaced 0.014 nm from its equilibrium position. Find the wavelength of a photon emitted when n=6 to n=1 transition occurs.arrow_forward
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- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning