Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 5, Problem 5.5P
To determine
Spectral line of atomic hydrogen as UV, visible, or IR.
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Calculate the Rydberg constant for the singleelectron (hydrogen-like) ions of helium, potassium, and uranium. Compare each of them with R∞ and determine the percentage difference.
A triply ionised beryllium atom (Be+++, Z = 4) has only one electron in
orbit about the nucleus. If the electron decays from the n
7 level to the
first excited state (n = 2), calculate the wavelength of the photon emitted.
Please give your answer in units of nm, rounded to one decimal place.
Answer:
Using the Rydberg formula, find the wavelength of the line in the Balmer series of the hydrogen spectrum for m = 7. The value of Rydberg constant is 1.097 × 107 m–1 and n = 2 for the Balmer series. (Round the final answer to the nearest whole number.)
The wavelength is ______nm.
Chapter 5 Solutions
Modern Physics For Scientists And Engineers
Ch. 5 - Prob. 5.1PCh. 5 - Prob. 5.2PCh. 5 - Prob. 5.3PCh. 5 - Prob. 5.4PCh. 5 - Prob. 5.5PCh. 5 - Prob. 5.6PCh. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - Prob. 5.9PCh. 5 - Prob. 5.10P
Ch. 5 - Prob. 5.11PCh. 5 - Prob. 5.12PCh. 5 - Prob. 5.13PCh. 5 - Prob. 5.14PCh. 5 - Prob. 5.15PCh. 5 - Prob. 5.16PCh. 5 - Prob. 5.17PCh. 5 - Prob. 5.18PCh. 5 - Prob. 5.19PCh. 5 - Prob. 5.20PCh. 5 - Prob. 5.21PCh. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Prob. 5.24PCh. 5 - Prob. 5.25PCh. 5 - Prob. 5.26PCh. 5 - Prob. 5.27P
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- A photoelectron is emitted from K shell (n = 1) of a carbon atom, and an election in L shell (n = 2) moves down to the vacancy in K shell. What is the wavelength, in the unit of nm, of the photon emitted during this transition? Use for the energy difference between two states in an atom. E0 = 13.6 eV and atomic number of carbon is Z = 12. Use σ = 1 for the transition to K shell and σ = 7.4 for the transition to L shellarrow_forwardAnnotate the IR spectra by labelling each of the major peaks as a functional group.arrow_forward) What are the allowed values for total spin angular momentum of the hydrogen atom having 1 proton and 1 electron, a deuterium atom and a tritium atom? Note: Your analysis should be restricted to just the spin angular momentum. The problem is not asking about orbital angular momentum. Based on your results, which atom types (hydrogen, deuterium, tritium) will respond as a composite boson?arrow_forward
- The light observed that is emitted by a hydrogen atom is explained by a simple model of its structure with one proton in its nucleus and an electron bound to it, but only with internal energies of the atom satisfying EH=−RH/n2EH=−RH/n2 where RHRH is the Rydberg constant and nn is an integer such as 1, 2, 3 ... and so on. When a hydrogen atom in an excited state emits light, the photon carries away energy and the atom goes into a lower energy state. Be careful about units. The Rydberg constant in eV is 13.605693009 eV That would be multiplied by the charge on the electron 1.602× 10-19 C to give 2.18× 10-18 J A photon with this energy would have a frequency f such that E=hf. Its wavelength would be λ = c/f = hc/E. Sometimes it is handy to measure the Rydberg constant in units of 1/length for this reason. You may see it given as 109737 cm-1 if you search the web, so be aware that's not joules. The following questions are intended to help you understand the connection between…arrow_forwardDraw a neat labelled energy level diagram for Hydrogen atom, showing Balmer and Paschen series. Find the mass of photon of the radiation having wavelength 5000 A .arrow_forwardAn extremely crude picture of a valence electron in an atom or a molecule treats it as a particle in a one-dimensional box whose length is on the order of the size of atoms and molecules. For an electron in a one-dimensional box of length 1.0 A; calculate the separation between the two lowest energy levels. Calculate the wavelength of a photon corresponding to a transition between these two levels. In what portion of the electromagnetic spectrum is this wavelength?arrow_forward
- Given the ratio of Rydberg constants for hydrogen (H) and hydrogen isotope (D) as RH/RD = 0.999728, and the ratio of their nuclear mass as mH/mD = 0.50020, please calculate the ratio of proton mass to electron massarrow_forwardFor all the elements through neon, list the electron descriptions in their ground state using nℓ notation (for example, helium is 1s2).arrow_forwardUse all four quantum numbers (n ,ℓ,,mℓ,ms) to write down all possible sets of quantum numbers for the 5d state of atomic hydrogen. What is the total degeneracy?arrow_forward
- The electron, in a hydrogen atom, is in its second excited state. Calculate the wavelength of the lines in the Lyman series, that can be emitted through the permissible transitions of this electron. (Given the value of Rydberg constant, R = 1.1 × 107 m-1 )arrow_forwardHydrogen gas can be placed inside a strong magnetic field B=12T. The energy of 1s electron in hydrogen atom is 13.6 eV ( 1eV= 1.6*10 J ). a) What is a wavelength of radiation corresponding to a transition between 2p and 1s levels when magnetic field is zero?arrow_forwardCalculate the shortest and longest wavelengths of Balmer series of hydrogen atom. Given R = 1.097 × 107m1.arrow_forward
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