Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 35P
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Compare the Balmer series of hydrogen with the series where nl=4 for the ionized helium atom He+ . The difference between the wavelengths of Lα and Lβ line of hydrogen and difference between the nu=6 and 8 of helium He+. Whether there is a wavelength of the Balmer series that is very similar to any wavelength values where nl=4 in He+.

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Compare the Balmer series of hydrogen with the series where n ℓ= 4 for the ionized helium atom He+. What is the difference between the wavelengths of the L ∝ and Lℓ line of hydrogen and the nu = 6 and 8 of He+? Is there a wavelength of the Balmer series that is very similar to any wavelength values where n ℓ = 4 in He+? Explain.
How does the distance between adjacent orbits in a hydrogen atom vary with increasing values of the orbital number n? What should take place for a hydrogen atom to emit longest possible wavelength in Balmer series? Explain.
A doubly ionized lithium atom (Li++) is one that has had two of its three electrons removed. The energy levels of the remaining single-electron ion are closely related to those of the hydrogen atom. The nuclear charge for lithium is +3e instead of just +e. How are the energy levels related to those of hydrogen? How is the radius of the ion in the ground level related to that of the hydrogen atom? Explain.
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