College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 28.3, Problem 28.1QQ
To determine
The atom which is having lower ground state energy.
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Consider a hydrogen atom and a singly ionized helium atom. Which atom has the lower ground state energy? (a) Hydrogen (b) Helium (c) The ground state energy is the same for both. Why?
Determine the distance between the electron and proton in an atom if the potential energy U of the electron is 10.1 eV (electronvolt, 1 eV
= 1.6 × 10-19
J). Give your answer in Angstrom (1 A = 10-10 m).
Answer:
Choose... +
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 28 Solutions
College Physics
Ch. 28.3 - Prob. 28.1QQCh. 28.4 - Prob. 28.2QQCh. 28.5 - Prob. 28.3QQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQ
Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46APCh. 28 - Prob. 47APCh. 28 - Prob. 48APCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54AP
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- For an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.arrow_forwardSo Determine the distance between the electron and proton in an atom if the potential energy ?U of the electron is 15.4 eV (electronvolt, 1 eV =1.6×10−19=1.6×10−19 J). Give your answer in Angstrom (1 A = 10-10 m)arrow_forwardWhen a hydrogen atom undergoes a transition from the n = 2 to the n = 1 level, a photon with l = 122 nm is emitted. If the atom is modeled as an electron in a one-dimensional box, what is the ground-state energy in order for the n = 2 to n = 1 transition to correspond to emission of a photon of this energy?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_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_forwardThe electron of a hydrogen atom is in an orbit with radius of 8.46 Å (1 Å = 10-10 m), according to the Bohr model. Which of the following statements is correct? a) The total energy of the orbit is –13.6 eV, and the kinetic energy is +13.6 eV. b) The total energy of the orbit is –0.85 eV, and the potential energy is –1.70 eV. c) The total energy of the orbit is –0.85 eV, and the potential energy is +1.70 eV. d) The total energy of the orbit is –0.85 eV, and the potential energy is –0.85 eV. e) The total energy of the orbit is –3.40 eV, and the potential energy is –6.80 eV.arrow_forward
- An electron is in a hydrogen atom with n = 2 and ℓ = 1. (a) Find all the possible angles between the orbital angular momentum vector and the z-axis. (b) Suppose the atom absorbs a photon and rises from the n = 2 and ℓ = 1 state to the n = 3 state. Using conversation of angular momentum, what are the possible values of the final value of ℓ in the n = 3 state?arrow_forwardWhen a hydrogen atom undergoes a transition from the n = 2 to the n = 1 level, a photon with l = 122 nm is emitted. If the atom is modeled as an electron in a one-dimensional box, what is the width of the box in order for the n = 2 to n = 1 transition to correspond to emission of a photon of this energy?arrow_forwardThe total energy of an electron in the first excited state of the hydrogen atom is about –3.4 eV.(a) What is the kinetic energy of the electron in this state?(b) What is the potential energy of the electron in this state?(c) Which of the answers above would change if the choice of the zero of potential energy is changed?arrow_forward
- Consider the Bohr-model description of a hydrogen atom. (a) Calculate E2 - E1 and E10 - E9 . As n increases, does the energy separation between adjacent energy levels increase, decrease, or stay the same? (b) Show that En+1 - En approaches (27.2 eV)/n3 as n becomes large. (c) How does rn+1 - rn depend on n? Does the radial distance between adjacent orbits increase, decrease, or stay the same as n increasesarrow_forwardAn electron is in the nth Bohr orbit of the hydrogen atom. n3 (a) Show that the period of the electron is T = to n³ and determine the numerical value of to. 153 as (b) On average, an electron remains in the n = 2 orbit for approximately 8 us before it jumps down to the n = 1 (ground-state)orbit. How many revolutions does the electron make in the excited state? 8.26e+09 × (c) Define the period of one revolution as an electron year, analogous to an Earth year being the period of the Earth's motion around the Sun. Explain whether we should think of the electron in the n = 2 orbit as "living for a long time."arrow_forward具 Hydrogen has a ground state energy of Eo = -13.6 eV. A helium atom (Z = 2) with only one electron will have a ground state energy of Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. Question 7 a E0/4. b C e Eo/2. Eo- d 25/3. 4E0/9.arrow_forward
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