COLLEGE PHYSICS,V.2
11th Edition
ISBN: 9781305965522
Author: SERWAY
Publisher: CENGAGE L
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Chapter 28, Problem 15P
To determine
The higher energy orbit from where the electron jumps to a lower energy orbit.
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An electron is confined to a rigid box that is 1.20nm long.
If the electron is in the third excited state what is the de broglie wavelength?
What are all of the possible wavelengths of light that the electron can emit as it goes to ground state?
A hydrogen atom is at rest, in the second excited state, when it emits a photon of energy 12.1 eV.
What is the speed of the ground-state hydrogen atom when it recoils due to the photon emission?
What is the kinetic energy of the recoiled particle?
An electron is trapped in a
is absorbed, the electron is in the n = 6 energy level. What was the wavelength of the absorbed photon?
one-dimensional box that is 501 nm wide. Initially, it is in the n = 3 energy level but, after a photon
wavelength:
Eventually, the electron ends up in the ground state. As it does so, one or more photons are emitted during those transitions.
Find the wavelengths of the least energetic and most energetic photons that might be emitted during all the possible transitions
to the ground state.
wavelength of least energetic photon:
m
wavelength of most energetic photon:
m
m
Chapter 28 Solutions
COLLEGE PHYSICS,V.2
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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- Calculate the de Broglie wavelength for : a. a jogger of mass 77 kg runs with at speed of 4.1 m s1. b. an electron of mass 9.11x10-31 kg moving at 3.25x105 m s1 (Given the Planck's constant, h =6.63x1034J s)arrow_forwardThe electron in a hydrogen atom jumps from the E5 eV ev E₁ = = What is the (positive) energy and wavelength of the photon emitted? eV E photon λ = λ = = n₁ 5 state to the nf = nm Follow the same steps to find the wavelength of the photon emitted when the electron in the hydrogen atom jumps from the n = nm = 1 state. What are the energies of these two states? 13 state to the and n₁ = 4 state.arrow_forwardPhoton P shown moves an electron from energy level n = 1 to energy level n = 3. The electron jumps down to n = 2, emitting photon Q, and then jumpsdown to n = 1, emitting photon R. The spacing between energy levels is drawn to scale. What is the correct relationship among the wavelengths of the photons?A. λP < λQ < λR B. λR < λP < λQC. λQ < λP < λR D. λR < λQ < λParrow_forward
- An electron is trapped in a one-dimensional box that is 501 nm wide. Initially, it is in the n = 3 energy level but, after a photon is absorbed, the electron is in the n = 6 energy level. What was the wavelength of the absorbed photon? wavelength: .0306 Eventually, the electron ends up in the ground state. As it does so, one or more photons are emitted during those transitions. Find the wavelengths of the least energetic and most energetic photons that might be emitted during all the possible transitions to the ground state. wavelength of least energetic photon: wavelength of most energetic photon: Incorrect m Incorrect m Earrow_forwardAn electron is bound to a region of space by a springlike force with natural frequency 04.082 x 10¹5 rad/s. a) Find the ground state energy of this electron. Give your answer in units of eV. b) Suppose the electron absorbs a photon and jumps from the ground state to the first excited state. What is the wavelength of the photon? Give your answer in units of nm.arrow_forwardA hydrogen atom is in state N= 3, where N = 1 is the lowest energy state. What is K+U in electron volts for this atomic hydrogen energy state? E3 = eV The hydrogen atom makes a transition to state N = 2. What is K+U in electron volts for this lower atomic hydrogen energy state? E₂ = eV What is the energy in electron volts of the photon emitted in the transition from level N = 3 to N = 2? Ephoton = eVarrow_forward
- Early researchers were very excited when they were able to predict the energy of an electron at a particular distance from the nucleus in a hydrogen atom using the Bohr model. A photon promotes the electron in a hydrogen atom in its ground state (n=1) into an excited state (n=5). What would be the frequency of the emitted photon if it decays from an excited state back to the ground state?arrow_forwardConsider an electron in a hydrogen atom that undergoes a transition from n = 3 to n = 7. a. Is the atom undergoing absorption or emission? b. What is the change in energy of the atom? c. What is the wavelength (in nm) of the photon absorbed or emitted? d. What is the frequency of the photon absorbed or emitted?arrow_forwardA hydrogen atom emits a photon of wavelength 97.41 nm. Based on the Bohr model of the hydrogen atom, what energy level transition does this correspond to? In other words, identify the initial and final values of n. Enter integers for your answers. n₂ = nf =arrow_forward
- a. Conceptually, discuss the particle-wave duality of light. Discuss the implications of this in combination with the de Broglie (pronounced “de Broy”) equation. b. The electron of a hydrogen atom is usually no further than 1.0 Å from the proton. We can therefore say the upper limit of the radius of an isolated hydrogen atom is roughly 1.0 Å. How does the de Broglie wavelength of the electron compare to this radius? (The velocity of an electron in the first principal energy level is about 2.2 x 106 m/s). Explain why wave-particle duality is so important for quantum mechanics, yet not required in macroscopic systems that are well described by classical mechanics. c. Comment as to whether neutrons with velocity 4.14 x 103 m/s may be used to determine structures of molecules in a diffraction-based experiment. You may consider the relevant distance between atoms in molecules to be on the order of 1 Å.arrow_forwardA certain atom remains in an excited state for about 51.7 ns before emitting a 2.15-eV photon and transitioning to the ground state. What is the uncertainty in the frequency of the photon in Hz?arrow_forwardTake gravitational constant g =10 m/s2 . 1) The work function for calcium is 2.9 ev. If we shine on the surface made of calcium with a light of 420 nm wavelength, answer the following questions: a) Find the energy of the incident photon. b) Is this energy enough for an electron to leave the atom and if so what is its maximum energy?arrow_forward
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