Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 42, Problem 12OQ
To determine
The change that happens when an atom emits a photon.
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What are the (a) energy, (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom
undergoes a transition from a state with n = 4 to a state with n = 2?
(a) Number
2.55
Units
eV
(b) Number
1.3617
Units
kg-m/s or N-s
(c) Number
4.865976353
Units
This answer has no units
Using the Bohr model, calculate the speed of the electron when it is in the first excited state, n = 2. The Bohr radius ₁ 5.29 x 10-11 m.
Assume the electron is non-relativistic.
A hypothetical atom has only two atomic energy levels, separated by 3.2 eV. Suppose that at a certain altitude in the atmosphere of a star there are 6.1 * 1013/cm3 of these atoms in the higher-energy state and 2.5 * 1015/cm3 in the lower-energy state. What is the temperature of the star’s atmosphere at that altitude?
Chapter 42 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 42.3 - Prob. 42.1QQCh. 42.3 - Prob. 42.2QQCh. 42.4 - Prob. 42.3QQCh. 42.4 - Prob. 42.4QQCh. 42.8 - Prob. 42.5QQCh. 42 - Prob. 1OQCh. 42 - Prob. 2OQCh. 42 - Prob. 3OQCh. 42 - Prob. 4OQCh. 42 - Prob. 5OQ
Ch. 42 - Prob. 6OQCh. 42 - Prob. 7OQCh. 42 - Prob. 8OQCh. 42 - Prob. 9OQCh. 42 - Prob. 10OQCh. 42 - Prob. 11OQCh. 42 - Prob. 12OQCh. 42 - Prob. 13OQCh. 42 - Prob. 14OQCh. 42 - Prob. 15OQCh. 42 - Prob. 1CQCh. 42 - Prob. 2CQCh. 42 - Prob. 3CQCh. 42 - Prob. 4CQCh. 42 - Prob. 5CQCh. 42 - Prob. 6CQCh. 42 - Prob. 7CQCh. 42 - Prob. 8CQCh. 42 - Prob. 9CQCh. 42 - Prob. 10CQCh. 42 - Prob. 11CQCh. 42 - Prob. 12CQCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 34PCh. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - Prob. 38PCh. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65APCh. 42 - Prob. 66APCh. 42 - Prob. 67APCh. 42 - Prob. 68APCh. 42 - Prob. 69APCh. 42 - Prob. 70APCh. 42 - Prob. 71APCh. 42 - Prob. 72APCh. 42 - Prob. 73APCh. 42 - Prob. 74APCh. 42 - Prob. 75APCh. 42 - Prob. 76APCh. 42 - Prob. 77APCh. 42 - Prob. 78APCh. 42 - Prob. 79APCh. 42 - Prob. 80APCh. 42 - Prob. 81APCh. 42 - Prob. 82APCh. 42 - Prob. 83APCh. 42 - Prob. 84APCh. 42 - Prob. 85APCh. 42 - Prob. 86APCh. 42 - Prob. 87APCh. 42 - Prob. 88APCh. 42 - Prob. 89CPCh. 42 - Prob. 90CPCh. 42 - Prob. 91CP
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- An electron within the hydrogen atom is excited from n1 to n4. The electron then "falls" back to ni in two steps (n4 -> n2, n2 -> n1). Which of the following statements is true about the light emitted during this process? One photons will be emitted. Two photons will be emitted. O Three photons will be emitted. Four photons will be emitted.arrow_forwardAn atom has three energy states: -15 eV, -12 eV and -6 eV. If a beam of photons with photons of energy 8 eV is directed at these atoms, which of the following will happen? Some photons will be absorbed and electrons will transition from -15 eV state to -6 eV state. Some electrons will transition from -15 eV to -12 eV reducing the energy of some photons. Some electrons will transition from -12 eV to -6 eV reducing the energy of some photons by one-third. No photon absorption will take place and the number of electrons in each level will stay unchanged.arrow_forwardBased on your answer in Question 7, when light with a wavelength of 198 nm strikes the surface of tin metal, electrons are ejected with a maximum kinetic energy of 2.9 x 10-19 J. What is the binding energy of these electrons to the metal? A 1.2 x 10-18 ) B 1.0 x 10-18 J С) 7.1 х 10-19] 1.98 x 10-7Jarrow_forward
- Arrange the following H atom electron transitions in order of increasing frequency of the photon absorbed or emitted:(a) n=2 to n=4(b) n=2 to n=1(c) n=2 to n=5(d) n=4 to n=3arrow_forwardAn electron for a hydrogen atom absorbed enough energy to move to the third energy level and immediately returned to ground state, emitting the energy it absorbed. A second hydrogen atom had its electron absorb the same amount of energy but, instead of returning directly to ground state, it moved to the second energy level and then to ground state. What can be said of the energy emitted by these two electrons that took different paths?arrow_forwardThe electron volt (eV) is a convenient unit of energy for expressing atomic-scale energies. It is the amount of energy that an electron gains when subjected to a potential of 1 volt; 1 eV = 1.602 × 10–19 J. Using the Bohr model, determine the energy, in electron volts, of the photon produced when an electron in a hydrogen atom moves from the orbit with n = 5 to the orbit with n = 2.arrow_forward
- An electron with a speed of 1.6×106m/s collides with an atom of element X . Shortly afterward, the atom emits a 1240 nm photon. What was the electron's speed after the collision? Assume that, because the atom is so much more massive than the electron, the recoil of the atom is negligible. Hint: The energy of the photon is not the energy transferred to the atom in the collision.arrow_forwardAn electron at the n=5 energy level of hydrogen undergoes a transition to the n=3 energy level. What wavelength of photon does the atom emit in this process? a) 1.28 x 10^-6 m b) 2.37 x 10^-6 m c) 4.22 x 10^-7 m d) 3.04 x 10^-6 m e) 5.92 x 10^-5 marrow_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_forward
- The frequency of incident photon so that the atom makes a transition from E1 to E2 should be __________a) E2 – E1b) E2 – E1/cc) E2 – E1/hd) E2 – E1/λarrow_forward102. A photon of frequency 4.81 x 10¹⁹ Hz scatters off a free stationary electron. Careful measurements reveal that the photon goes off at an angle of 125° with respect to its original direction. (a) How much energy does the electron gain during the collision? (b) What percent of its original energy does the photon lose during the collision?arrow_forwardA general expression for the energy levels of oneelectron atoms and ions is Here µ is the reduced mass of the atom, given by µ = m1m2/(m1 +m2m2), where m1 is the mass of the electron and m2 is the mass of the nucleus; ke is the Coulomb constant; and q1 and q2 are the charges of the electron and the nucleus, respectively. The wavelength for the n = 3 to n = 2 transition of the hydrogen atom is 656.3 nm (visible red light). What are the wavelengths for this same transition in (a) positronium, which consists of an electron and a positron, and (b) singly ionized helium? Note: A positron is a positively charged electron.arrow_forward
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