EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 38, Problem 16Q
To determine
The explanation for an increase in separation between energy states with an increase in
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Students have asked these similar questions
i) Consider the anomalous Zeeman pattern of D1 and D2 lines of sodium.
Calculate the frequency of the component of D₁ line corresponding to Am, = +1
where Am, = m - m (Double prime represent lower state).
a) If the electron is in the ground state argue that the expectation value of the electric dipole
(P.) =(qf) must vanish. Do not need to do a calculation.
b) Show that for some of the n=2 states the expectation value (p,)=(qî) does not vanish. Give
one example and proceed to calculate that expectation value.
3. Consider a particle of mass m in the potential
V = = Vo[8(x − a) — 8(x+a)].
Show that there is always a bound state for all nonvanishing a.
Chapter 38 Solutions
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- A system of three identical distinguishable particles has energy 3ɛ. The single particle can take discrete energies 0, &, 2, 3ɛ and so on. The average number of particles in the energy state & is 1.2 0.9 0.6 0.3arrow_forwardConsider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ?, 2?, 3?, 4?,5?,6?,.... The assembly has three particles and a total energy of 7?. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable (b) gaseous bosons (c) gaseous fermionsarrow_forwardProve that the density of states is the same size and the wavelength range of a + da toa to be g(1)da : %3!arrow_forward
- Consider a quantum mechanical ideal harmonic oscillator having a zero point energy of 1.4*10^-20J. how much energy could be released if the oscillator makes a transition from n=4 to n=2 states? a)0.69*10^19J b)2.88*10^-20J c)5.76*10^20J d)none are correctarrow_forwardA particle in one-dimension is in the potental if xl If there is at least one bound state, the minimum depth of the potential is: (a) 8ml? (b) 2ml? 2h?n? (c) me? (d)- me?arrow_forward(2nx sin \1.50. 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 2.00. What is the energy of the system? O 6h?/8m O 4h²/8m O 3h2/8m O none are correctarrow_forward
- An electron is confined to move in the xy plane in a rectangle whose dimensions are Lx and Ly. That is, the electron is trapped in a two dimensional potential well having lengths of Lx and Ly. In this situation, the allowed energies of the electron depend on the quant numbers Nx and Ny, the allowed energies are given by E = H^2/8Me ( Nx^2/ Lx^2 + Ny^2/Ly^2) i) assuming Lx and Ly =L. Find the energies of the lowest for all energy levels of the electron ii) construct an energy level diagram for the electron and determine the energy difference between the second exited state and the ground state?arrow_forward3. a) According to the spherical shell model, predict J" for the ground state and first excitation of 'Be, ¹70 and 2¹Ne. b) Explain pros and cons of the shell model based on a harmonic oscillator potential of the type: Vo = 1/2 kr².arrow_forwardSuppose a system contain four identical particles and five energy levels given by the relationship, E;= i × 10-2º J, where i = 0,1,2 ,3,4. If the total energy of the system is Er= 6 E. Find the total number of the microscopic states for the distribution of these particles over the system energy levels keeping the given system conditions. Solution 4 identical particles Energy (10- Joule) Macroscopic state 4 Er= 6 € 3 Levels 1 E2 E (10-º J) k 1 2 4 5 6 7 N! Wk no! n!n2!n3!n4! Sk = kglnwkarrow_forward
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