Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 4, Problem 19P
(a)
To determine
The energy of the emitted photon.
(b)
To determine
The wavelength.
(c)
To determine
The frequency of the emitted photon.
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Consider photons incident on a hydrogen atom.
(a) A transition from the n = 4 to the n = 7 excited-state requires the absorption of a photon of what minimum energy? eV(b) A transition from the n = 1 ground state to the
n = 6 excited state requires the absorption of a photon of what minimum energy?
eV
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
An electron in a hydrogen atom makes a transition from the n=1 state to the n=3 state
(1eV= 1.6 x10^-19 J and h = 6.63 x 10^-34 J s= 4.136 x 10^-15 Ev/hz c =3.0 x10^8 m/s)
what is the energy of the photon absorbed in transition and what is the frequency of the absorbed photon energy?
Chapter 4 Solutions
Modern Physics
Ch. 4.2 - Exercise 1 Find the horizontal speed vx for this...Ch. 4.2 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5Q
Ch. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10QCh. 4 - Prob. 11QCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - A mystery particle enters the region between the...Ch. 4 - Prob. 4PCh. 4 - A Thomson-type experiment with relativistic...Ch. 4 - Prob. 6PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44P
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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 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)? 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 1.89 eV 12.1 ev O 10.2 eVarrow_forwardA hydrogen atom is initially in the n = 6 state. It drops to the n = 2 state, emitting a photon in the process. (a) What is the energy (in ev) of the emitted photon? 3.022 ev (b) What is the frequency (in Hz) of the emitted photon? 7.293e14 v Hz (c) What is the wavelength (in um) of the emitted photon? 41.14 umarrow_forward
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- A hydrogen atom transitions from the n = 8 excited state to the n = 4 excited state, emitting a photon. (a) What is the energy, in electron volts, of the photon emitted by the hydrogen atom? eV(b) What is the wavelength of the photon emitted by the hydrogen atom? m(c) What is the frequency of the photon emitted by the hydrogen atom? Hzarrow_forwardA hydrogen atom emits a photon as it makes a transition from the n = 4 state to the n = 3 state. The energies of these two states are –0.9 eV and –1.5 eV, respectively.(a) What is the energy of the photon?(b) What is its frequency?arrow_forwardA 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_forward
- A hydrogen atom in an n=2, I=1, m1 = -1 state emits a photon when it decays to an n=1 I=0, mI=0 ground state. If the atom is in a magnetic field in the + z direction and with a magnitude of 2.50 T, what is the shift in the wavelength of the photon from zero-field value?arrow_forwardAn electron with kinetic energy of 12.50 eV hits a hydrogen atom in its ground state. (a)Sketch the hydrogen energy level diagram, showing the transition to all possible excited state. (b) Find all the possible kinetic energies of the outgoing electron. (c) In the same sketch as part (a), draw all possible transitions when the atom relaxes and emits a photon. (d) Find the wavelengths of all the possible emission photons.arrow_forwardA 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_forward
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