A proton is bound in a square well of width 4.0 fm = 4.0 * 10-15 m. The depth of the well is six times the ground-level energy E1-IDW of the corresponding infinite well. If the proton makes a transition from the level with energy E1 to the level with energy E3 by absorbing a photon, find the wavelength of the photon.

A proton is bound in a square well of width 4.0 fm = 4.0 * 10-15 m. The depth of the well is six times the ground-level energy E1-IDW of the corresponding infinite well. If the proton makes a transition from the level with energy E1 to the level with energy E3 by absorbing a photon, find the wavelength of the photon.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter8: Quantum Mechanics In Three Dimensions

Section: Chapter Questions

Problem 3P

See similar textbooks

Similar questions

What 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?
What is the ground state energy (in eV) of an a -particle confined to a one-dimensional box the size of the uranium nucleus that has a radius of approximately 15.0 fm?
Suppose a wave function is discontinuous at some point. Can this function represent a quantum state of some physical particle? Why? Why not?
Can we simultaneously measure position and energy of a quantum oscillator? Why? Why not?
If the ground state energy of a simple harmonic oscillator is 1.25 eV, what is the frequency of its motion?
An electron is bound in a square well of width 1.05 nm and depth U0=6E∞, where E∞ is the ground-state energy for an infinitely deep potential well.If the electron is initially in the ground level, E1=0.625E∞ , and absorbs a photon, what maximum wavelength can the photon have and still liberate the electron from the well?
An electron is bound in a square well of width 1.50 nm and depth U0 = 6E1-IDW. If the electron is initially in the ground level and absorbs a photon, what maximum wavelength can the photon have and still liberate the electron from the well?
What is the independent wave function for a particle in a box x=0,L
Calculate the transmission coefficient for an electron of total energy 2eV incident upon a rectangular potential barrier of height 2 eV and width 10-9 m
in solving the schrodinger equation for the particle in a box system, satisfying the boundary condition imposes:
If in a box with infinite walls of size 1 nm there is an electron in the energy state n=2, find its probability density, the wave function and the corresponding energy.
Calculate the transmission probability for quantum-mechanical tunneling in each of the following cases. (a) An electron with an energy deficit of U - E= 0.010 0 eV is incident on a square barrier of width L = 0.100 nm. (b) An electron with an energy deficit of 1.00 eV is incident on the same barrier. (c) An alpha particle (mass 6.64 × 10-27 kg) with an energy deficit of 1.00 MeV is incident on a square barrier of width 1.00 fm. (d) An 8.00-kg bowling ball withan energy deficit of 1.00 J is incident on a square barrier of width 2.00 cm.