Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 35.4, Problem 35.6GI
To determine
How compared the energy of first excited state for a particle in a cubical box with that of the ground state.
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The energy eigenvalues of a particle in a 3-D box of dimensions (a, b, c) is given by
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-2²² (²²² +²2² +²2²)
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(b) If the ten protons are replaced by 10 neutral hydrogen atoms in the ground state,
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A rectangular corral of widths Lx = L and Ly = 2L holds an electron.What multiple of h2/8mL2, where m is the electron mass, gives (a) the energy of the electron’s ground state, (b) the energy of its first excited state, (c) the energy of its lowest degenerate states, and (d) the difference between the energies of its second and third excited states?
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Chapter 35 Solutions
Essential University Physics
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. 11ECh. 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. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32ECh. 35 - Prob. 33ECh. 35 - Prob. 34ECh. 35 - Prob. 35ECh. 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. 61PCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PPCh. 35 - Prob. 65PP
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- What is the maximum kinetic energy of an electron such that a collision between the electron and a stationary hydrogen atom in its ground state is definitely elastic?arrow_forwardA particle is moving in a three-dimensional potential V (x, y, z)=-mo (2x² +y² +4z° ). If the mass of the particle is m, then what is the energy of the particle in the lowest quantum State? (a) (3+ v2 (b) ħo (c) (3+ V2) ħo (d) ħo 12arrow_forwardAn electron is trapped in a one-dimensional region of length 1.00 x 10-10 m (a typical atomic diameter). (a) Find the energies of the ground state and first two excited states. (b) How much energy must be supplied to excite the electron from the ground state to the sec- ond excited state? (c) From the second excited state, the electron drops down to the first excited state. How much energy is released in this process?arrow_forward
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- For a particle in a three-dimensional cubical box, what is the degeneracy (number of different quantum states with the same energy) of the energy levels (a) 3p2h2/2mL2 and (b) 9p2h2/2mL2?arrow_forward22. Using the normalization condition, show that the constant A has the value (ma/ħn)/4 for the one- dimensional simple harmonic oscillator in its ground state.arrow_forwardAssume 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
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