The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state ( n = 1 ) .

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Answer 1

Question

Chapter 35, Problem 48P

(a)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

(b)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

(c)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

(d)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

(e)

To determine

The classical probability in this situation.

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Thor flies by spinning his hammer really fast from a leather strap at the end of the handle, letting go, then grabbing it and having it pull him. If Thor wants to reach escape velocity (velocity needed to leave Earth’s atmosphere), he will need the linear velocity of the center of mass of the hammer to be 11,200 m/s. Thor's escape velocity is 33532.9 rad/s, the angular velocity is 8055.5 rad/s^2. While the hammer is spinning at its maximum speed what impossibly large tension does the leather strap, which the hammer is spinning by, exert when the hammer is at its lowest point? the hammer has a total mass of 20.0kg.

If the room’s radius is 16.2 m, at what minimum linear speed does Quicksilver need to run to stay on the walls without sliding down? Assume the coefficient of friction between Quicksilver and the wall is 0.236.

In the comics Thor flies by spinning his hammer really fast from a leather strap at the end of the handle, letting go, then grabbing it and having it pull him. If Thor wants to reach escape velocity (velocity needed to leave Earth’s atmosphere), he will need the linear velocity of the center of mass of the hammer to be 11,200 m/s. A) If the distance from the end of the strap to the center of the hammer is 0.334 m, what angular velocity does Thor need to spin his hammer at to reach escape velocity? b) If the hammer starts from rest what angular acceleration does Thor need to reach that angular velocity in 4.16 s? c) While the hammer is spinning at its maximum speed what impossibly large tension does the leather strap, which the hammer is spinning by, exert when the hammer is at its lowest point? The hammer has a total mass of 20.0kg.

Answer 2

Question

Chapter 35, Problem 48P

(a)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

(b)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

(c)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

(d)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

(e)

To determine

The classical probability in this situation.

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Answer 3

Question

Chapter 35, Problem 48P

(a)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

(b)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

(c)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

(d)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

(e)

To determine

The classical probability in this situation.

Expert Solution & Answer

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Answer 4

Question

Chapter 35, Problem 48P

(a)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

(b)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

(c)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

(d)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

(e)

To determine

The classical probability in this situation.

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Answer 5

Chapter 35, Problem 48P

(a)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

(b)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

(c)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

(d)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

(e)

To determine

The classical probability in this situation.

Answer 6

Chapter 35, Problem 48P

(a)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

Answer 7

Chapter 35, Problem 48P

(a)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

Answer 8

(b)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

Answer 9

(b)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

Answer 10

(c)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

Answer 11

(c)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

Answer 12

(d)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

Answer 13

(d)

To determine

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

Answer 14

(e)

To determine

The classical probability in this situation.

Answer 15

(e)

To determine

The classical probability in this situation.

Answer 16

Expert Solution & Answer

Answer 17

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Answer 18

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Answer 19

Ch. 35.1 - Prob. 35.1GI Ch. 35.2 - Prob. 35.2GI Ch. 35.3 - Prob. 35.3GI Ch. 35.3 - Prob. 35.4GI Ch. 35.3 - Prob. 35.5GI Ch. 35.4 - Prob. 35.6GI Ch. 35 - Prob. 1FTD Ch. 35 - Prob. 2FTD Ch. 35 - Prob. 3FTD Ch. 35 - Prob. 4FTD

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state ( n = 1 ) .

Solution Summary: The author explains the probability of finding the particle in a given region for any value of n.

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=1) .

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=2) .

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=5) .

The probability that a particle in an infinite square well located in the central one fourth of the well for the quantum state (n=20) .

The classical probability in this situation.

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Chapter 35 Solutions