## Two Dimensional Well Exercise #6

#### Please answer the following 2 questions
regarding the Physlet:

The probability density, P(r) = y*y
r^{2}, for an electron in an idealized Hydrogen atom
(Coulomb potential) for several states is shown as plotted versus distance given
in Bohr radii. You can choose the limits of integrating by changing the values
of "Start" and "End." Then select a wave function. Place cursor on graph and press left
mouse button to read coordinates. Press right mouse button to copy graph to a
new window. **Note:** All distances are in units of Bohr radii, *a*_{0}
= 0.0529 nm.

#### Questions

- What is the probability that the electron in the
*n* = 1, *l* =
0 (1s) state is at a distance greater than 1*a*_{o}?
- The
*n* = 3, *l* = 0 (3s) state has three regions in which the
electron may be located. Find the probabilities of finding the
electron in each of the three regions.

#### Credits

Script by Mario Belloni.

Questions by Mario Belloni.

Java applets by Wolfgang Christian.