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

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?

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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.

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?

The energy eigenvalues of a particle in a 3-D box of dimensions (a, b, c) is given by E (nx, ny, nz) -2²² (²²² +²2² +²2²) (a) Ten protons are confined in a box of dimension (a, 2a, a) on each side. Calculate the total energy of the ground state of these ten protons if we assume that the protons don't interact with each other. (b) If the ten protons are replaced by 10 neutral hydrogen atoms in the ground state, calculate the total energy resulting from the confinement. Again assume that the hydrogen atoms do not interact with each other. You can treat the mass of proton and hydrogen atom to be identical.

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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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

Expert Solution & Answer

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?