FUND.OF PHYSICS-W/3 ACCESS
10th Edition
ISBN: 9781119298199
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Question
Chapter 39, Problem 9P
To determine
To find:
a) Energy must be transferred to the electron for the given quantum jump.
b) Shortest wavelength emitted.
c) Second shortest wavelength emitted.
d) Longest wavelength emitted.
e) Second longest wavelength emitted.
f) Show the various possible ways on an energy level diagram.
If light of wavelength
g) Longest wavelength emitted.
h) Shortest wavelength emitted
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose that an electron trapped in a one-dimensional infinite well of width 250 pm is excited from its first excited state to its third excited state. (a) What energy must be transferred to the electron for this quantum jump? The electron then de-excites back to its ground state by emitting light. In the various possible ways it can do this, what are the (b) shortest, (c) second shortest, (d) longest, and (e) second longest wavelengths that can be emitted? (f) Show the various possible ways on an energy-level diagram. If light of wavelength 29.4 nm happens to be emitted, what are the (g) longest and (h) shortest wavelength that can be emitted afterwards?
For ultrarelativistic particles such as photons or high-energy electrons, the relation between energy and momentum is not E = p2/2m but rather E = pc. (This formula is valid for massless particles, and also for massive particles in the limit E » mc2.)
Estimate the minimum energy of an electron confined inside a box of width 10-15 m. It was once thought that atomic nuclei might contain electrons; explain why this would be very unlikely.
A particle of mass m is moving in an infinite 1D quantum well of width L. y,(x) = J? sinx.
sin nAx
L
(a)
How much energy must be given to the particle so it can transition from the ground state
to the second excited state?
(b)
If the particle is in the first excited state, what is the probability of finding the particle
between x = and x = ;?
2.
Chapter 39 Solutions
FUND.OF PHYSICS-W/3 ACCESS
Ch. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10Q
Ch. 39 - Prob. 11QCh. 39 - Prob. 12QCh. 39 - Prob. 13QCh. 39 - Prob. 14QCh. 39 - Prob. 15QCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61PCh. 39 - Prob. 62PCh. 39 - Prob. 63PCh. 39 - Prob. 64PCh. 39 - A diatomic gas molcculc consistsof two atoms of...Ch. 39 - Prob. 66PCh. 39 - Prob. 67PCh. 39 - Prob. 68PCh. 39 - Prob. 69PCh. 39 - Prob. 70PCh. 39 - An old model of a hydrogen atom has the charge e...Ch. 39 - Prob. 72PCh. 39 - Prob. 73P
Knowledge Booster
Similar questions
- An electron is trapped in a one-dimensional infinite well of width 250 pm and is in its ground state.What are the (a) longest, (b) second longest, and (c) third longest wavelengths of light that can excite the electron from the ground state via a single photon absorption?arrow_forward1) A field is a physical quantity O points associated to each point in space time. 2) Quantum field Theory is O points concerned with quantities of dynamical of fields. т O F 3) The relativistic wave function O points have a probability interpretation as in non-relativistic quantum mechanics. O F Отarrow_forward(Hand by writing ans.)A certain atom has an energy level of 3.50 eV above the ground state. When excited to this state, it remains 4.0µs, on average, before emitting a photon and returning to the ground state. i) What is the energy of the photon? What is the wavelength of the photon? ii) What is the smallest possible uncertainty in the energy of the photon?arrow_forward
- An electron is in a certain energy state in a one-dimensional,infinite potential well from x=0 to x=L=200 pm. The electron’s probability density is zero at x=0.300L, and x=0.400L;it is not zero at intermediate values of x. The electron then jumpsto the next lower energy level by emitting light.What is the changein the electron’s energy?arrow_forwardThe energy of the four non-interacting identical fermions and bosons in one dimensiona! box of size a is, 5h? 4h? (a) ma² ' 2ma? 5h? 2h? (b) ma ' ma 10h? 3h? (c) 2ma' 2ma? 2h? 4h? (d) ma² ' 2ma?arrow_forward(a) Consider an electron travelling in free space at 50% of the speed of light with anuncertainty of its velocity of 10%:(i) Using the appropriate equation, explain the momentum-position uncertainty principle;(ii) Assuming no additional experimental errors (i.e. quantum uncertainty only) calculatethe uncertainty in the electron’s position.arrow_forward
- Can we simultaneously measure position and energy of a quantum oscillator? Why? Why not?arrow_forwardIs it possible to measure energy of 0.75h for a quantum harmonic oscillator? Why? Why not? Explain.arrow_forwardIs it possible that when we measure the energy of a quantum particle in a box, the measurement may return a smaller value than the ground state energy? What is the highest value of the energy that we can measure for this particle?arrow_forward
- Check your Understanding (a) Consider an infinite square well with wall boundaries x=0 and x=L. What is the of finding a quantum panicle in its state somewhere between x=0 and x=L/4? (b) Repeat question (a) for a classical panicle.arrow_forwardWhat is the ground state energy (in eV) of a proton confined to a one-dimensional box the size of the uranium nucleus that has a radius of approximately 15.0 fm?arrow_forwardSuppose a wave function is discontinuous at some point. Can this function represent a quantum state of some physical particle? Why? Why not?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning