EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 39, Problem 23P
To determine
The probability of finding the electron within a spherical shell of inner radius
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Chapter 39 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - On what factors does the periodicity of the...Ch. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11P
Ch. 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. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46P
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- Assume that the nucleus of an atom can be regarded as a three-dimensional box of width 2·10-14 m. If a proton moves as a particle in this box, find: (a) The ground-state energy of proton in MeV. (b) The energies of the first and second excited sates. (c) What are the degenerates of these states?arrow_forward(i) Obtain the expression for eigenfunctions of a particle trapped in one 1D Infinite potential well of length, L. (ii) Calculate the wavelength of photons emitted when an electron is confined in a 0.1 nm wide infinite potential well that makes a transition from the second excited state to the first excited state.arrow_forwardDetermine the integral | P(r) dr for the radial probability density for the ground state of the hydrogen atom 4 P(r) = - r²e-2rla a³ O 1 O-1 O 0.5arrow_forward
- (10) i) Use the quantum mechanical kinetic energy operator T, = to find the kinetic energy of the first 2m dx? excited state of the Particle in a Box (with n = 2). ii) Then, use the relationship of kinetic energy and momentum (KE = p?/2m) to find an equation for the de Broglie wavelength of the particle in a one-dimensional box as a function only of the box length L and quantum number n. iii) Sketch the wavefunction in the box to verify that the expression you obtained in part ii) is correct.arrow_forwardThe "radius of the hydrogen atom" is often taken to be on the order of about 10-10m. If a measurement is made to determine the location of the electron for hydrogen in its ground state, what is the probability of finding the electron within 10-10m of the nucleus?arrow_forward.55 The radial probability density for the ground state of the hydrogen atom is a maximum whenr = a, where a is the Bohr ra- dius. Show that the average value of r, defined as P(r) r dr, has the value 1.5a. In this expression for ravgs each value of P(r) is weighted with the value of r at which it occurs. Note that the average value of r is greater than the value of r for which P(r) is a maximum.arrow_forward
- (b) A photon is emitted by a doubly ionised lithium atom (Li²+) when an electron makes a transition to the ground state. The wavelength of the photon is measured to be 10.83 nanometres. Determine the principal quantum number and the energy of the initial state The atomic number of lithium is Z = 3.arrow_forwardpost |Consider a system which is in the state, Y(0,4) =Y,"(0,ø)+ J¿r,"(0,ø)+Y'(0,$), where Y," (0,4) are the spherical harmonics. If Î, is measured what possible values can be obtained? (a) –ħ,0,ħ (b) +ħ‚2ħ,-ħ (c) +ħ,3ħ,-ħ (d) +ħ,-ħ (е) 3h, 2harrow_forwardAn electron is in the ground state of the tritium atom for which the nucleus consists of one proton and two neutrons. Suppose the nucleus instantaneously changes into He”, consisting of two protons and a neutron due to a nuclear reaction. What is the probability that the electron is found in the ground state of the Heion? The is sometimes called the “sudden approximation”arrow_forward
- (c) Below is the expression of quantized subband energy in a quantum well photodetector where the m* and Wz are the carrier effective mass and well width, respectively, and the rest are constants. Derive the wavelength detected based on intersubband transition. En = ħ2 nn *W. 2m Zarrow_forwardCheck Your Understanding Can the magnitude of Lzever be equal to L?arrow_forwardDo the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest Balmer line and the longest Lyman line.)arrow_forward
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