The sketch of wave function.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

(a)

Expert Solution

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1, 2, 3 respectively will contain extrema as 1, 2, 3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

(b)

To determine

The sketch of probability density function.

(b)

Expert Solution

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

An electron is trapped in a one-dimensional infinite potential well that is 460 pm wide; the electron is in its ground state. What is the probability that you can detect the electron in an interval of width δx = 5.0 pm centered at x = 300 pm? (Hint: The interval δx is so narrow that you can take the probability density to be constant within it.)

For an infinite potential well of length L, determine the difference in probability that a particle might be found between x = 0.25L and x = 0.75L between the n = 3 state and the n = 5 states.

An electron is trapped in a one-dimensional infinite potential well that is 200 pm wide; the electron is in its ground state. What is the probability that you can detect the electron in an interval of width öx = 5.0 pm centered at x = 100 pm? (Hint: The interval öx is so narrow that you can take the probability density to be constant within it.) Number i Units

Answer 2

Question

Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

(a)

Expert Solution

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1, 2, 3 respectively will contain extrema as 1, 2, 3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

(b)

To determine

The sketch of probability density function.

(b)

Expert Solution

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

(a)

Expert Solution

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1, 2, 3 respectively will contain extrema as 1, 2, 3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

(b)

To determine

The sketch of probability density function.

(b)

Expert Solution

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

(a)

Expert Solution

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1, 2, 3 respectively will contain extrema as 1, 2, 3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

(b)

To determine

The sketch of probability density function.

(b)

Expert Solution

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

(a)

Expert Solution

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1, 2, 3 respectively will contain extrema as 1, 2, 3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

(b)

To determine

The sketch of probability density function.

(b)

Expert Solution

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.

Answer 6

Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

(a)

Expert Solution

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1, 2, 3 respectively will contain extrema as 1, 2, 3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

Answer 7

Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

Answer 8

(a)

Expert Solution

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1, 2, 3 respectively will contain extrema as 1, 2, 3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

(b)

To determine

The sketch of probability density function.

(b)

Expert Solution

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.

Answer 13

(b)

To determine

The sketch of probability density function.

Answer 14

(b)

Expert Solution

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

Physics for Scientists and Engineers, Chapter 35, Problem 1P , additional homework tip 2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.