Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 35, Problem 63PP
To determine
The degeneracy of ground state of a quantum dot if it behaves as cubical 3-D square well.
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True or false?
a) Two electron can have the same set of quantum numbers
b) In the general form of the schrodinger equation, E is known as an eigenfunction
c) Atomic spectrum was obtained after relaxation process( existed electrons return to ground state
Two electrons in the same atom have n = 3 and ℓ = 1. (a) List the quantum numbers for the possible states of the atom. (b) How many states would be possible if the exclusion principle did not apply to the atom?
The allowed energies of a simple atom are 0.0 eV, 4.0 eV, and 6.0 eV. An electron traveling at a speed of 1.5x106 m/s collisionally excites the atom. Part A) What is the minimum speed the electron could have after the collision? Part B) What is the maximum speed the electron could have after the collision?
Chapter 35 Solutions
Essential University Physics (3rd Edition)
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 10FTDCh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 25ECh. 35 - Prob. 26ECh. 35 - Prob. 27ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PPCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PP
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- What is the difference in energy between the nx=ny=nz=4 state and the state with the next higher energy? What is the percentage change in the energy between the nx=ny=nz=4 state and the state with the next higher energy? (b) Compare these with the difference in energy and the percentage change in the energy between the nx=ny=nz=400 state and the state with the next higher energy.arrow_forwardExplain the difference between a box-potential and a of a quantum dot.arrow_forwardConsider a cube of copper with edges 1.50 mm long. Estimate the number of electron quantum states in this cube whose energies are in the range 3.75 to 3.77 eV.arrow_forward
- (a) If one subshell of an atom has 9 electrons in it, what is the minimum value of l ? (b) What is the spectroscopic notation for this atom, if this subshell is part of the n=3 shell?arrow_forwardCheck Your Understanding What happens to the ground state energy of an electron if the dimensions of the solid increase?arrow_forward(a) How many electrons can be in the n=4 shell? (b) What are its subshells, and how many electrons can be in each?arrow_forward
- (a) List all possible sets of quantum numbers (n, l, ml , ms) for the n = 3 shell, and determine the number of electrons that can be in the shell and each of its subshells. (b) Show that the number of electrons in the shell equals 2n2 and that the number in each subshell is 2(2l + 1) .arrow_forward8. If a particle is in a box with a ground state energy of 4 eV, what energy must be absorbed by the system to go from the n = 2 state to the n = 3 state?arrow_forwardAn electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.45 eV. (a) What is the length L of the region? nm(b) What energy input is required to promote the electron to its first excited state? eVarrow_forward
- 29. When an atom drops from an initial level to a lower energy level or is raised from an initial level to a higher energy level, what should be the value of the energy of the photon for this to situation to happen? a. twice the energy gap between the ground and excited states b. equal to the energy gap between the ground and excited states c. less than the energy gap between the ground and excited states d. greater than the energy gap between the ground and excited statesarrow_forwardAn electron in hydrogen is in the 5ff state. A) Find the largest possible value of the z component of its angular momentum. Express your answer in terms of ℏℏ. B) For the electron in part A, find the value of the expression L2x+L2y−−−−−−−√Lx2+Ly2. Express your answer in terms of ℏℏhbar.arrow_forward1. If the length of a 1-dimensional particle-in-a-box system increases (and all other parameters and properties remain constant), how does the energy gap between n = 3 and n = 4 states change? (A) The energy gap does not change.(B) The energy gap increases.(C) The energy gap decreases.(D) The energy gap change cannot be determined.arrow_forward
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