The uncertainty in momentum of the quantum particle.

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Answer 1

Question

Chapter 40, Problem 9P

(a)

To determine

The uncertainty in momentum of the quantum particle.

(b)

To determine

The energy of the particle.

(c)

To determine

Compare the energy with the actual ground state energy.

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assume that an electron is moving along the x-axis and that you measure its speed to be 20.5*10^6m/s, which can be known with of precision of 0.50%. what is the minimum uncertainty (as allowed by the uncertainty principle in quantum theory )with which you can simultaneously measure the position of the electron along the x-axis?

Calculate the transmission probability for quantum-mechanical tunneling in each of the following cases. (a) An electron with an energy deficit of U - E= 0.010 0 eV is incident on a square barrier of width L = 0.100 nm. (b) An electron with an energy deficit of 1.00 eV is incident on the same barrier. (c) An alpha particle (mass 6.64 × 10-27 kg) with an energy deficit of 1.00 MeV is incident on a square barrier of width 1.00 fm. (d) An 8.00-kg bowling ball withan energy deficit of 1.00 J is incident on a square barrier of width 2.00 cm.

A proton is confined to a nucleus whose diameter is 5.5 × 10^−15 ?. If this distance is considered to be the uncertainty in the position of the proton, what is the minimum uncertainty in its momentum?

Answer 2

Question

Chapter 40, Problem 9P

(a)

To determine

The uncertainty in momentum of the quantum particle.

(b)

To determine

The energy of the particle.

(c)

To determine

Compare the energy with the actual ground state energy.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 40, Problem 9P

(a)

To determine

The uncertainty in momentum of the quantum particle.

(b)

To determine

The energy of the particle.

(c)

To determine

Compare the energy with the actual ground state energy.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 40, Problem 9P

(a)

To determine

The uncertainty in momentum of the quantum particle.

(b)

To determine

The energy of the particle.

(c)

To determine

Compare the energy with the actual ground state energy.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 40, Problem 9P

(a)

To determine

The uncertainty in momentum of the quantum particle.

(b)

To determine

The energy of the particle.

(c)

To determine

Compare the energy with the actual ground state energy.

Answer 6

Chapter 40, Problem 9P

(a)

To determine

The uncertainty in momentum of the quantum particle.

Answer 7

Chapter 40, Problem 9P

(a)

To determine

The uncertainty in momentum of the quantum particle.

Answer 8

(b)

To determine

The energy of the particle.

Answer 9

(b)

To determine

The energy of the particle.

Answer 10

(c)

To determine

Compare the energy with the actual ground state energy.

Answer 11

(c)

To determine

Compare the energy with the actual ground state energy.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 40.1 - Prob. 40.1QQ Ch. 40.2 - Prob. 40.2QQ Ch. 40.2 - Prob. 40.3QQ Ch. 40.5 - Prob. 40.4QQ Ch. 40 - Prob. 1P Ch. 40 - Prob. 2P Ch. 40 - Prob. 3P Ch. 40 - Prob. 4P Ch. 40 - Prob. 5P Ch. 40 - Prob. 6P

The uncertainty in momentum of the quantum particle.

Solution Summary: The author analyzes the uncertainty in momentum of the quantum particle.

Concept explainers

The uncertainty in momentum of the quantum particle.

The energy of the particle.

Compare the energy with the actual ground state energy.

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Chapter 40 Solutions