a) Is the energy of the ground state of the trapped electron multiplied by 4 , 2 , 1 2 , 1 4 or some other number? b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

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Answer 1

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Chapter 39, Problem 6Q

To determine

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

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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?

A particle of mass m is moving in an infinite 1D quantum well of width L. y,(x) = J? sinx. sin nAx L (a) How much energy must be given to the particle so it can transition from the ground state to the second excited state? (b) If the particle is in the first excited state, what is the probability of finding the particle between x = and x = ;? 2.

An 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?

Answer 2

Question

Chapter 39, Problem 6Q

To determine

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Expert Solution & Answer

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See solution

Answer 3

Question

Chapter 39, Problem 6Q

To determine

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 39, Problem 6Q

To determine

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 39, Problem 6Q

To determine

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Answer 6

Chapter 39, Problem 6Q

To determine

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Answer 7

Chapter 39, Problem 6Q

To determine

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 39 - Prob. 1Q Ch. 39 - Prob. 2Q Ch. 39 - Prob. 3Q Ch. 39 - Prob. 4Q Ch. 39 - Prob. 5Q Ch. 39 - Prob. 6Q Ch. 39 - Prob. 7Q Ch. 39 - Prob. 8Q Ch. 39 - Prob. 9Q Ch. 39 - Prob. 10Q

a) Is the energy of the ground state of the trapped electron multiplied by 4 , 2 , 1 2 , 1 4 or some other number? b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Solution Summary: The author explains how the energy of the ground state is multiplied by 1/4 and the energies of higher energy states by some other factor depending on their quantum number.

Concept explainers

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Want to see the full answer?

Chapter 39 Solutions

a) Is the energy of the ground state of the trapped electron multiplied by 4 , 2 , 1 2 , 1 4 or some other number? b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Solution Summary: The author explains how the energy of the ground state is multiplied by 1/4 and the energies of higher energy states by some other factor depending on their quantum number.

Concept explainers

To find: a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number? b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?

Want to see the full answer?

Chapter 39 Solutions

To find:

a) Is the energy of the ground state of the trapped electron multiplied by 4, 2,12,14 or some other number?

b) Are the energies of the higher energy states multiplied by this factor or by some other factor, depending on their quantum number?