EBK COLLEGE PHYSICS
3rd Edition
ISBN: 9780321989246
Author: Knight
Publisher: PEARSON CO
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Chapter 29, Problem 59GP
To determine
Wavelength of the series limit of Lyman series in hydrogen.
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1) The Lyman series of lines in the emission spectrum of hydrogen corresponds to transitions from various excited states to the n1 = 1 orbit. Calculate the wavelength (in nm) of the energy line (n = 11) in the Lyman series to five significant figures. (RH = 109677.57 cm-1). Think about where this is in the spectrum.
2) What is the wavelength, (in angstroms, A) of an electron (m = 9.11 X 10-31 kg) moving at 7.80 X 105 m/sec. (h= 6.626 X 10-34 Js)
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.
Chapter 29 Solutions
EBK COLLEGE PHYSICS
Ch. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQ
Ch. 29 - Prob. 11CQCh. 29 - Prob. 12CQCh. 29 - Prob. 13CQCh. 29 - Prob. 14CQCh. 29 - Prob. 15CQCh. 29 - Prob. 16CQCh. 29 - Prob. 17CQCh. 29 - Prob. 18CQCh. 29 - Prob. 19CQCh. 29 - Prob. 20CQCh. 29 - Prob. 21CQCh. 29 - Prob. 22CQCh. 29 - Prob. 23CQCh. 29 - Prob. 24MCQCh. 29 - Prob. 25MCQCh. 29 - Prob. 26MCQCh. 29 - Prob. 27MCQCh. 29 - Prob. 28MCQCh. 29 - Prob. 29MCQCh. 29 - Prob. 30MCQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44GPCh. 29 - Prob. 45GPCh. 29 - Prob. 46GPCh. 29 - Prob. 47GPCh. 29 - Prob. 48GPCh. 29 - Prob. 49GPCh. 29 - Prob. 50GPCh. 29 - Prob. 51GPCh. 29 - Prob. 52GPCh. 29 - Prob. 53GPCh. 29 - Prob. 54GPCh. 29 - Prob. 55GPCh. 29 - Prob. 56GPCh. 29 - Prob. 57GPCh. 29 - Prob. 58GPCh. 29 - Prob. 59GPCh. 29 - Prob. 60GPCh. 29 - Prob. 61GPCh. 29 - Prob. 62GPCh. 29 - Prob. 63GPCh. 29 - Prob. 64GPCh. 29 - Prob. 65GPCh. 29 - Prob. 66GPCh. 29 - Prob. 67GPCh. 29 - Prob. 68GPCh. 29 - Prob. 69GPCh. 29 - Prob. 70GPCh. 29 - Prob. 71GPCh. 29 - Prob. 73GPCh. 29 - Prob. 74GPCh. 29 - Prob. 75GPCh. 29 - Prob. 76MSPPCh. 29 - Prob. 77MSPPCh. 29 - Prob. 78MSPPCh. 29 - Prob. 79MSPP
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- Lyman Series; a. Calculate the transition frequencies (Hz) in the Lyman series f1 = (E6- E1)/ h, f2 = (E5 - E1)/h, f3 = (E4- E1)/ h, f4 = (E3 - E1)/h, f5 = (E3 - E1)/h.arrow_forwardDetermine the distance between the electron and proton in an atom if the potential energy UU of the electron is 15.2 eV (electronvolt, 1 eV =1.6×10−19 J). Give your answer in Angstrom (1 A = 10-10 m).arrow_forwarda. A hydrogen atom has its electron in the n = 4 level. The radius of the electron’s orbit in the Bohr model is 0.847 nm. Find the de Broglie wavelength of the electron under these circumstances. [Answer: 5.32 x 10^‐2 m] b. What is the momentum, mv, of the electron in its orbit? [Answer: 25 x 10‐25 kg/m/s]arrow_forward
- a.) Find the frequency in Hertz of radiation with energy of 2.179 x 10-18 J per photon. b.) What frequency of light would be needed to make an electron in a Hydrogen atom jump from n=1 to n=3? c.) A spectral line is measured to have a wavelenght of 1000nm. Is this within the Balmer series?arrow_forwardIn hydrogen’s characteristic spectra, each series (Lyman, Balmer, etc) has a “series limit”, where the wavelengths at one end of the series tend to “bunch up”, approaching a single limiting value. part a: Is it at the short-wavelength or the long-wavelength end of the series that this series limit occurs? part b: What is it about hydrogen’s allowed energies that leads to this phenomenon?arrow_forwardFrom the energy-level diagram for hydrogen, explain the observation that the frequency of the second Lyman-series line is the sum of the frequencies of the first Lyman-series line and the first Balmer-series line.This is an example of the empirically discovered Ritz combination principle. Use the diagram to find some other valid combinations.arrow_forward
- A) What is the approximate wavelength emitted from helium represented by the bright yellow emission line below? What is it's frequency in HZ and energy in eV? (1 eV= 1.6 x 10-19 joules). B) If the excited helium electron that emits a yellow photon in this line starts with a potential energy of 8 eV, what is the potential energy of the electron afterwards? Assume that the emission of a yellow photon is allowed by the laws of quantum mechanics. Also don't worry about the other electron.arrow_forwardThe wavelength of the Lyman alpha emission line of Hydrogen (which we will obtain rather accurately in the Bohr model of the atom) is 121.6nm . In the Lorentz model of the atom, what spring constant does that resonance line correspond to? Please respond in N/m Previous answer give was wrong.arrow_forwardTutorial Week 15 1. Find the amount of energy needed in the transition of hydrogen electrons into higher orbits (total of three), absorbing photons which have wavelengths of (1) 1005 nm (2) 1282 nm and (3) 1875 nm. 2. Determine the longest and shortest wavelengths of the Lyman series. 3. Suppose the initial amount of Cesium-137 is 1.5 kg, find the amount of Cesium-137 remain after 1000 years.arrow_forward
- What is the average radius of the orbit of an electron in the n=2 energy level of an oxygen atom (Z=8)? Express your answer in pico-meters.arrow_forwardDetermine the distance between the electron and proton in an atom if the potential energy U of the electron is 10.1 eV (electronvolt, 1 eV = 1.6 × 10-19 J). Give your answer in Angstrom (1 A = 10-10 m). Answer: Choose... +arrow_forwardLyman Series; a. Calculate the transition frequencies (Hz) in the Lyman series f1 = (E6- E1)/ h, f2 = (E5 - E1)/h, f3 = (E4- E1)/ h, f4 = (E3 - E1)/h, f5 = (E3 - E1)/h. b. Use the internet to get the type of optical wave corresponding to each frequency.arrow_forward
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