Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 10, Problem 23P
To determine
(a)
The element which produce K -shell x-ray photon with the highest frequency.
To determine
(b)
The element which produce K -shell x-ray photon with the lowest frequency.
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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…
2.1. A neutral atom has the following electronic configuration: 1s? 2s² 2p° 3s² 3p³
(a). How many electrons are in the M shell?
(b). How many protons are in the atomic nucleus?
(c). To which group of the periodic table does this element belong?
An X-ray photon with a wavelength of 0.944 nm strikes a surface. The emitted electron has a kinetic energy of 961 eV . What is the binding energy of the electron in kJ/mol ? [Note that KE=12mv2 and 1 electronvolt (1eV)=1.602×10−19J.
(Please type answer no write by hend)
Chapter 10 Solutions
Inquiry into Physics
Ch. 10 - Prob. 1SACh. 10 - Prob. 1OACh. 10 - Prob. 1PIPCh. 10 - Prob. 1MIOCh. 10 - Prob. 2MIOCh. 10 - Prob. 1QCh. 10 - Prob. 2QCh. 10 - Prob. 3QCh. 10 - Prob. 4QCh. 10 - Prob. 5Q
Ch. 10 - Prob. 6QCh. 10 - Prob. 7QCh. 10 - Prob. 8QCh. 10 - Prob. 9QCh. 10 - Prob. 10QCh. 10 - Prob. 11QCh. 10 - (Indicates a review question, which means it...Ch. 10 - Prob. 13QCh. 10 - Prob. 14QCh. 10 - (Indicates a review question, which means it...Ch. 10 - Prob. 16QCh. 10 - Prob. 17QCh. 10 - Prob. 18QCh. 10 - Prob. 19QCh. 10 - Prob. 20QCh. 10 - Prob. 21QCh. 10 - Prob. 22QCh. 10 - Prob. 23QCh. 10 - Prob. 24QCh. 10 - Prob. 25QCh. 10 - Prob. 26QCh. 10 - Prob. 27QCh. 10 - Prob. 28QCh. 10 - Prob. 29QCh. 10 - Prob. 30QCh. 10 - Prob. 31QCh. 10 - Prob. 32QCh. 10 - Prob. 33QCh. 10 - Prob. 34QCh. 10 - Prob. 35QCh. 10 - Prob. 36QCh. 10 - Prob. 37QCh. 10 - Prob. 38QCh. 10 - Prob. 39QCh. 10 - Prob. 40QCh. 10 - Prob. 41QCh. 10 - Prob. 42QCh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - . Figure 10.47 is the energy-level diagram for a...Ch. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 1CCh. 10 - Prob. 2CCh. 10 - The rate at which solar wind particles enter the...Ch. 10 - Prob. 4CCh. 10 - Prob. 5CCh. 10 - Prob. 6C
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- The Ka X-ray emission line of tungsten occurs at λ = 0.021 nm. The energy difference between K and L levels in this atoms is about (a) 0.51 MeV (b) 1.2 MeV (c) 59 keV (d) 13.6 eVarrow_forwardA photon of wavelength of 4.3408 X 10-7 meter enters a hydrogen atom whose electron is sitting at the second energy level (ni = 2). When the electron absorbs the photon, which energy level will it jump to (nf = ?)arrow_forwardH-alpha line is a red visible spectral line in hydrogen atom with a wavelength of 656.3 nm. Consider five distant stars labeled A, B, C, D, and E. The light from these starts was detected on Earth and, after performing spectral analysis, the following H-alpha wavelengths were measured: A = 665.5 nm, AB = 643.7 nm, Ac = 653.9 nm, Ap = 663 nm, and AE = 661.2 nm. Which star has the slowest speed relative to Earth, in which direction and how fast does it move? ✓ Earth. The slowest star is CV and it moves towards The speed of the slowest star (in km/s), Vslowest Which star has the fastest speed relative to Earth, in which direction and how fast does it move? The fastest star is B ✓ and it moves towards = -1.095E12 X Units km/s The speed of the fastest star (in km/s), Vfastest = -5.73E6 Earth. x Units km/sarrow_forward
- A hydrogen atom is in its ground state (n, = 1) when a photon impinges upon it. The atom absorbs the photon, which has precisely the energy required to raise the atom to the n, = 3 state. (a) What was the photon's energy (in eV)? 12.089 ev (b) Later, the atom returns to the ground state, emitting one or more photons in the process. Which of the following energies describes photons that might be emitted thus? (Select all that apply.) O 13.6 ev O 1.89 eV V 12.1 eV O 10.2 ev There are two ways a hydrogen atom in the n, = 3 state can end up in the ground state. In the first, all of the energy goes into one photon and the electron moves directly into the ground state. (What would be the energy of that photon?) In the other, the electron "descends" in two stages, each accompanied by the emission of a photon. (What would be the energies of those two photons?)arrow_forward51. (a) Calculate the wavelength (in nm) of light with energy 1.61×10−20 J per photon. (b) For light of wavelength 440 nm, calculate the number of photons per joule. (c) Determine the binding energy (in eV) of a metal if the kinetic energy possessed by an ejected electron (using one of the photons with wavelength 440 nm) is 2.53×10−19 J.arrow_forwardH-alpha line is a red visible spectral line in hydrogen atom with a wavelength of 656.3 nm. Consider five distant stars labeled A, B, C, D, and E. The light from these starts was detected on Earth and, after performing spectral analysis, the following H-alpha wavelengths were measured: AA = 667.5 nm, Ag = 650.4 nm, Ac = 653.5 nm, Ap = 660.3 nm, and AE = 664.9 nm. Which star has the slowest speed relative to Earth, in which direction and how fast does it move? The slowest star is? and it moves Select an answer The speed of the slowest star (in km/s), Vslowest = Which star has the fastest speed relative to Earth, in which direction and how fast does it move? The fastest star is? and it moves Select an answer Earth. The speed of the fastest star (in km/s), Vfastest Submit Question = Earth. Units Select an answer ✓ Units Select an answer ✓arrow_forward
- Determine the energy and frequency of the radiation emitted when an electron falls from n = 4 to n = 2 in a hydrogen atom. [Take m = 9.1×10−31kg, εo=8.85×10−12C2./Nm9.1×10−31kg, ?o=8.85×10−12C2./Nm ]arrow_forward(e) For X-rays with energy corresponding to the U L3-edge the mass absorption coefficient of U is μ/ρ = 46.6. Show what will be the proportion of such X-rays that are transmitted through a layer of uranium oxide UO2 with thickness t = 10 microns. [Hint: the density of UO2 is ρ = 10.97 g/cm3. If you multiple this by the wt% of U in UO2 you will get the effective density of U in UO2.]arrow_forward(2) Find the wavelength of the photon that is emitted when a hydrogen atom undergoes a transition from n; = 4 to nf = 1. (RH = 1.097 x 10-3Å-1) Answerarrow_forward
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