Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 11, Problem 8OQ
(a)
To determine
Hydrogen atom in the ground state can absorb a photon of energy less than
(b)
To determine
Hydrogen atom in the ground state can absorb a photon of energy greater than
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A hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n = 3.
(a) What is the energy of the absorbed photon?
(b) If the atom returns to the ground state, what photon energies could the atom emit?
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
A 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?)
Chapter 11 Solutions
Principles of Physics: A Calculus-Based Text
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Ch. 11 - Prob. 7OQCh. 11 - Prob. 8OQCh. 11 - Prob. 9OQCh. 11 - Rank the following quantities of energy from...Ch. 11 - Prob. 11OQCh. 11 - Prob. 12OQCh. 11 - Prob. 13OQCh. 11 - Prob. 14OQCh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - In his 1798 experiment, Cavendish was said to have...Ch. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - A 200-kg object and a 500-kg object are separated...Ch. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Prob. 10PCh. 11 - A spacecraft in the shape of a long cylinder has a...Ch. 11 - (a) Compute the vector gravitational field at a...Ch. 11 - Prob. 13PCh. 11 - Two planets X and Y travel counterclockwise in...Ch. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - Prob. 17PCh. 11 - Prob. 18PCh. 11 - Plasketts binary system consists of two stars that...Ch. 11 - As thermonuclear fusion proceeds in its core, the...Ch. 11 - Comet Halley (Fig. P11.21) approaches the Sun to...Ch. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 25PCh. 11 - A space probe is fired as a projectile from the...Ch. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Prob. 37PCh. 11 - Prob. 38PCh. 11 - Prob. 39PCh. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - Prob. 44PCh. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - Let gM represent the difference in the...Ch. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Two stars of masses M and m, separated by a...Ch. 11 - Prob. 51PCh. 11 - Prob. 52PCh. 11 - Prob. 53PCh. 11 - Prob. 54PCh. 11 - Prob. 55PCh. 11 - Prob. 56PCh. 11 - Prob. 57PCh. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - Prob. 61PCh. 11 - Prob. 62PCh. 11 - Prob. 63PCh. 11 - Prob. 64PCh. 11 - Prob. 65P
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- a)Suppose a hydrogen molecule in its ground state is dissociated by absorbing a photon of ultraviolet light, causing the two hydrogen atoms to fly apart. What photon energy will give each atom a speed of 19 km/s? The mass of a hydrogen atom is 1.7×10^−27 kg Express your answer to two significant figures and include the appropriate units.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_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_forward
- How much energy is required to cause an electron in hydrogen to move from the n = 1 state to the n = 2 state? (b) If the electrons gain this energy by collision between hydrogen atoms in a high - temperature gas, find the minimum temperature of the heated hydrogen gas. The thermal energy of the heated atoms is given by 3kBT/2, where kB is the Boltzmann constant.arrow_forwardA hydrogen atom in a state having a binding energy (the energy required to remove an electron) of -0.544 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 12.089 eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission? Use-13.60 eV as the binding energy of an electron in the ground state. (a) Number (b) Number i (c) Number i Units Units Unitsarrow_forwardConsider 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? eVarrow_forward
- Can the electron in the ground state of hydrogen absorb a photon of energy less than 13.6 eV? Can it absorb a photon of energy greater than 13.6 eV? Explain.arrow_forward(A) The electron in a hydrogen atom makes a transition from a higher energy level to the ground level (n = 1). Find the wavelength and frequency of the emitted photon if the higher level is n = 2. (B) Suppose the atom is initially in the higher level corresponding to n = 5. What is the wavelength of the photon emitted when the atom drops from n = 5 to n = 1?(C) What is the radius of the electron orbit for a hydrogen atom for which n = 5? (D) How fast is the electron moving in a hydrogen atom for which n = 5?arrow_forwardA hydrogen atom is in its ground state. Incident on the atom is a photon having an energy of 10.5 eV. What is the result? (a) The atom is excited to a higher allowed state. (b) The atom is ionized. (c) The photon passes by the atom without interaction.arrow_forward
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