In Fig. 40.12b, the probability function is zero at the points x= 0 and x= L, the “walls” of the box. Does this mean that the particle never strikes the walls? Explain.

Short Answer

Expert verified

No, this does not mean that the particle never strikes the wall.

Step by step solution

01

Max born interpretation of wave function

According to Max born interpretation of wave function, the square of the wave function or probability function of particle is proportional to the probability of finding a particle at a certain points.

02

 Step 2: Position and trajectory of particle in quantum system  

There is no definite trajectory of particle so; it is not possible to predict particle’s location in anywhere quantum system likes in classical mechanics.

03

Particle strikes the wall of box or not

As, the probability function is zero at the point and on the walls of the box then according to max born interpretation probability of finding the particle at points on the wall is very less but it does not mean that particle will not strike the wall of box.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What are the most significant differences between the Bohr model of the hydrogen atom and the Schrödinger analysis? What are the similarities?

For a particle in a finite potential well, is it correct to say that each bound state of definite energy is also a state of definite wavelength? Is it a state of definite momentum? Explain.

In an experiment involving the photoelectric effect, if the intensity of the incident light (having frequency higher than the threshold frequency) is reduced by a factor of 10 without changing anything else, which (if any) of the following statements about this process will be true? (a) The number of photoelectrons will most likely be reduced by a factor of 10. (b) The maximum kinetic energy of the ejected photoelectrons will most likely be reduced by a factor of 10. (c) The maximum speed of the ejected photoelectrons will most likely be reduced by a factor of 10. (d) The maximum speed of the ejected photoelectrons will most likely be reduced by a factor of 110. (e) The time for the first photoelectron to be ejected will be increased by a factor of 10.

Figure 40.17 shows the scanning tunneling microscope image of 48 iron atoms placed on a copper surface, the pattern indicating the density of electrons on the copper surface. What can you infer about the potential-energy function inside the circle of iron atoms?

Some lasers emit light in pulses that are only 10-12 s in duration. The length of such a pulse is (3×108m/s)(1012s)=3×10-4m=3×10-4m=0.3mm. Can pulsed laser light be as monochromatic as light from a laser that emits a steady, continuous beam? Explain.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free