General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 27, Problem 6E
To determine
The corresponding wavelength of ultraviolet
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b. An electron and a photon has the same wavelength of 0.21 nm.
Calculate the momentum and energy (in eV) of the electron and
the photon.
(Given c =3.00x108 m s-1, h =6.63 x 1034 J s, me=9.11 x 10-31 kg,
mp=1.67 x 1027 kg and e=1.60x1019 C)
A visible (violet) emission spectral line for chromium (Cr) occurs at wavelength λ = 425.435 nm.What is the frequency (ν) of this light?(Mind the units carefully. Give your answers to six significant figures.)What is the magnitude of the energy change associated with the emission of one mole of photons of light with this wavelength?
The first five energy levels of the hydrogen atom are at −13.6 eV, −3.4 eV,−1.51 eV, −0.85 eV, and −0.54 eV. The emission spectrum of a hydrogen plasma lamp is a set of bright lines corresponding to all the possible transitions between these five levels.Sketch the far ultraviolet part of the spectrum you would expect from 80 nm wavelength to 130 nm. You should provide an x-axis with tickmarks and labels in nm, and label each brightline with its wavelength. Show your calculations of the wavelengths.
Chapter 27 Solutions
General Physics, 2nd Edition
Ch. 27 - Prob. 1RQCh. 27 - Prob. 2RQCh. 27 - Prob. 3RQCh. 27 - Prob. 4RQCh. 27 - Prob. 5RQCh. 27 - Prob. 6RQCh. 27 - Prob. 7RQCh. 27 - Prob. 8RQCh. 27 - Prob. 9RQCh. 27 - Prob. 10RQ
Ch. 27 - Prob. 1ECh. 27 - Prob. 2ECh. 27 - Prob. 3ECh. 27 - Prob. 4ECh. 27 - Prob. 5ECh. 27 - Prob. 6ECh. 27 - Prob. 7ECh. 27 - Prob. 8ECh. 27 - Prob. 9ECh. 27 - Prob. 10ECh. 27 - Prob. 11ECh. 27 - Prob. 12ECh. 27 - Prob. 13ECh. 27 - Prob. 14ECh. 27 - Prob. 15ECh. 27 - Prob. 16ECh. 27 - Prob. 17ECh. 27 - Prob. 18ECh. 27 - Prob. 19ECh. 27 - Prob. 20ECh. 27 - Prob. 21ECh. 27 - Prob. 22ECh. 27 - Prob. 23ECh. 27 - Prob. 24ECh. 27 - Prob. 25ECh. 27 - Prob. 26ECh. 27 - Prob. 27ECh. 27 - Prob. 28ECh. 27 - Prob. 29ECh. 27 - Prob. 30ECh. 27 - Prob. 31ECh. 27 - Prob. 32ECh. 27 - Prob. 33ECh. 27 - Prob. 34ECh. 27 - Prob. 35ECh. 27 - Prob. 36ECh. 27 - Prob. 37ECh. 27 - Prob. 38ECh. 27 - Prob. 39ECh. 27 - Prob. 41ECh. 27 - Prob. 42ECh. 27 - Prob. 43ECh. 27 - Prob. 44ECh. 27 - Prob. 45ECh. 27 - Prob. 46ECh. 27 - Prob. 47ECh. 27 - Prob. 48E
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- When a hydrogen atom is in its ground state, what are the shortest and longest wavelengths of the photons it can absorb without being ionized?arrow_forwardA visible (violet) emission spectral line for chromium (Cr) occurs at wavelength λ = 425.435 nm. A) What is the frequency (ν) of this light?(Give correct units and answer to six significant figures.) B) What is the magnitude of the energy change associated with the emission of one mole of photons of light with this wavelength?arrow_forwardUsing the equation E=Rh(1/22 - 1/nh2), determine the energies and wavelengths of the visible emission bods in the atomic spectrum of hydrogen arising from nh= 4, 5, and 6.arrow_forward
- A photon emitted as a hydrogen atom undergoes a transition from the n = 8 state to then = 2 state.Find the energy of the emitted photon. Theenergy of the ground state is 13.6 eV.Answer in units of eV. Find the wavelength of the emitted photon.The speed of light is 3 × 10^8 m/s and Planck’sconstant is 6.626 × 10^−34 J · s.Answer in units of nm. Find the frequency of the emitted photon.Answer in units of Hz.arrow_forwardIn the Hydrogen atom, an electron gains energy and moves from n=2 of energy -3.39 eV to n=3 of energy -1.51 eV. It is unstable and returns from n=3 to n=2. Calculate the frequency and the wavelength of the emitted photon. E = hf and h = 6.63 x 10-34arrow_forwardThe two nuclei in the carbon monoxide (CO) molecules are 0.1128 nm apart. The mass of the carbon atom is 1.993x10-26 kg. The mass of the oxygen atom is 2.656x10-26 kg.What is the wavelength of the photon emitted in the transition from first excited state to the ground state? (Give your answer in mm.)arrow_forward
- H-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_forwardA hydrogen atom emits a photon that has momentum 6.977 × 10-27 kg·m/s. This photon is emitted because the electron in the atom falls from a higher energy level into the n = 1 level. What is the quantum number of the level from which the electron falls? Use values of h = 6.626 × 10-34 J·s, c = 2.998 × 108 m/s, and e = 1.602 × 10-19 C.arrow_forwardA 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_forward
- A hydrogen atom emits a photon that has momentum 6.813 × 10-27 kg⋅m/s. This photon is emitted because the electron in the atom falls from a higher energy level into the n = 1 level. What is the quantum number of the level from which the electron falls? Use values of h = 6.626 × 10-34 J·s, c = 2.998 × 108 m/s, and e = 1.602 × 10-1⁹ C. Number i 1 Bohr-model picture of photon emission Unitsarrow_forwardEx. 20: Find the value of energy of electron in eV in the third Bohr orbit of hydrogen atom. (Rydberg's constant (R) = 1.097 × 107 m¹, Planck's constant (h) = 6.63 × 10-34 J-s, velocity of light in air (c) = 3 × 108 m/s).arrow_forwardA hydrogen atom is in state N= 3, where N = 1 is the lowest energy state. What is K+U in electron volts for this atomic hydrogen energy state? E3 = eV The hydrogen atom makes a transition to state N = 2. What is K+U in electron volts for this lower atomic hydrogen energy state? E₂ = eV What is the energy in electron volts of the photon emitted in the transition from level N = 3 to N = 2? Ephoton = eVarrow_forward
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