Where are the boundaries of the potential well? The left boundary is at x = 2) 3

Question

Where are the boundaries of the potential well?

The left boundary is at x =

2)

3)

What is the approximate value of ?, within about 10%? [Note: Although you can really only estimate it to within about this accuracy, the current version of SmartPhysics will require higher accuracy.]

? =

4)

Kinetic energy =

The kinetic energy would be

6)

Its kinetic energy =

____ eV

Please explain all answers, thanks!

The graph below represents the ground state wave function of an electron in a finite square well potential of width L. The potential is zero at x = 0. Where are the boundaries of the potential well? The left boundary is at x = and the right boundary is at x = The wave function of the electron within the well is of the form A cos( 2?x / ? ) where A is a normalization constant. What is the approximate value of ?, within about 10%? [Note: Although you can really only estimate it to within about this accuracy, the current version of Smart Physics will require higher accuracy.] What is the approximate kinetic energy of the electron inside the well? Kinetic energy = Now consider an infinite square well potential of the same width L. When the electron is in the ground state of this infinite well, is its kinetic energy higher or lower than its kinetic energy in the ground state of the finite well? The kinetic energy would be If the electron were in the ground state of an infinite square well of the same width L, what would be its kinetic energy? Its kinetic energy =

Explanation / Answer

A cos( 2?x / ? ) and the left and right boundaries are at +- 400pm
At 0pm cos(2pi x/lambda) = 1 so A has to be .075

then it looks like at 300pm y is .05 so:
.05 = .075*cos(2pi * 300pm / lambda)

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