# Homework 13 (Due 5/6/16)

- Page ID
- 47391

Name: ______________________________

Section: _____________________________

Student ID#:__________________________

### Q13.1

If the uncertainty of measuring the position of an electron is 2.0 Å, what is the uncertainty of simultaneously measuring its velocity? *Hint: What formula deals with uncertainty of measurements?*

### Q13.2

An old small balloon contains some oxygen. The diameter of the balloon is 2.5 X 10^{-5} m. What is the uncertainty velocity of an oxygen molecule that is trapped inside.

### Q13.3

### Q13.4

IF a beam of electrons with fixed kinetic energy E is incident on a potential barrier with a height of 6 eV and width of 0.7 nm. with \(E<V\). What is the kinetic energy E of each electron if the tunneling probability or transmittance is 0.001 (i.e. 0.1% of the electrons tunnel through the barrier)?

### Q13.5

Identify the similarities and differences between the *time-independent* Schrödinger equations and the equation governing the law of conservation of energy.