PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Can an electron in a hydrogen atom have a speed of 3.60 × 105 m/s? If so, what are its energy and the radius of its orbit? What about a speed of 3.65 × 105 m/s?
A 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
um
Chapter 39, Problem 043
In the ground state of the hydrogen atom, the electron has a total energy of -13.6 ev. What are (a) its kinetic energy and
(b) its potential energy if the electron is a distance 4.0a from the central nucleus? Here a is the Bohr radius.
(a) Number
Units
eV
(b) Number
Units
eV
Chapter 36 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
Ch. 36 - Prob. 1PCh. 36 - Prob. 2PCh. 36 - Prob. 3PCh. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Prob. 6PCh. 36 - Prob. 7PCh. 36 - Prob. 8PCh. 36 - Prob. 9PCh. 36 - Prob. 10P
Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - Prob. 13PCh. 36 - Prob. 14PCh. 36 - Prob. 15PCh. 36 - Prob. 16PCh. 36 - Prob. 17PCh. 36 - Prob. 18PCh. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - Prob. 23PCh. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28PCh. 36 - Prob. 29PCh. 36 - Prob. 30PCh. 36 - Prob. 31PCh. 36 - Prob. 32PCh. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75P
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- What is the maximum kinetic energy of an electron such that a collision between the electron and a stationary hydrogen atom in its ground state is definitely elastic?arrow_forwardWhat 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 unitsarrow_forwardConsidering the Bohr’s model, given that an electron is initially located at the ground state (n=1n=1) and it absorbs energy to jump to a particular energy level (n=nxn=nx). If the difference of the radius between the new energy level and the ground state is rnx−r1=5.247×10−9rnx−r1=5.247×10−9, determine nxnx and calculate how much energy is absorbed by the electron to jump to n=nxn=nx from n=1n=1. A. nx=9nx=9; absorbed energy is 13.4321 eV B. nx=10nx=10; absorbed energy is 13.464 eV C. nx=8nx=8; absorbed energy is 13.3875 eV D. nx=20nx=20; absorbed energy is 13.566 eV E. nx=6nx=6; absorbed energy is 13.22 eV F. nx=2nx=2; absorbed energy is 10.2 eV G. nx=12nx=12; absorbed energy is 13.506 eV H. nx=7nx=7; absorbed energy is 13.322 eVarrow_forward
- The Bohr model correctly predicts the main energy levels not only for atomic hydrogen but also for other "one-electron" atoms where all but one of the atomic electrons has been removed, such as in He+ (one electron removed) or Li++ (two electrons removed). The negative muon (μ−)behaves like a heavy electron, with the same charge as the electron but with a mass 207 times as large as the electron mass. As a moving μ− comes to rest in matter, it tends to knock electrons out of atoms and settle down onto a nucleus to form a "one-muon" atom. For a system consisting of a nucleus of iridium (Ir192 with 77 protons and 115 neutrons) and just one negative muon, predict the energy in eV of a photon emitted in a transition from the first excited state to the ground state. The high-energy photons emitted by transitions between energy levels in such "muonic atoms" are easily observed in experiments with muons.arrow_forwardA hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n = 3. What is the energy of the absorbed photon?arrow_forwardAn 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?arrow_forward
- A 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 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 mercury atom emits light at many wavelengths, two of which are at (1) 404.7 nm and (2) 435.8 nm. Both of these transitions are to the same final state. Determine the energy of each emitted wavelength (in J).arrow_forward
- A particular Bohr orbit in a hydrogen atom has a total energy of-0.85 eV. What are (a) the kinetic energy of the electron in thisorbit and (b) the electric potential energy of the system?arrow_forwardFind the frequency of the photon emitted when hydrogen makes a transition between energy level 6 to energy level 4. h = 6.62 × 10−34?2 ∙ ??/? ? = 3 × 108?/?arrow_forwardA potential well has 4 energy levels as given here: Energy of the state (eV) 13 12 9 4 Suppose that there are three electrons in the well, and that the system is in the first excited state. If the system emits a photon, what energy could the photon have? O (a) 3 eV Ⓒ (b) 5 eV O (c) 4 eV O (d) 8 eV (e) 9 eV x X 0%arrow_forward
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