# General Physics II Concepts Of Special Relativity And Quantum Mechanics

Solve the following problems. **You must show all work.** Submit in a word Document.

**Question 1 **

What is the minimum uncertainty in the velocity of an electron that is known to be somewhere between 0.050 nm and 0.10 nm from a proton?

**Question 2 **

The energy of the first excited state of a hydrogen atom is -0.34 eV ± 0.0003 eV. What is the average lifetime for this state?

**Question 3 **

Knowing that a free neutron has a mean life of 900 s and a mass of m = 1.67 x 10⁻²⁷kg, what is the uncertainty in its mass in kg?

**Question 4 **

For *n=5*, *l** = 4, *what are the possible values of m_{l} and m_{s}?

**Question 5 **

Draw the ground state energy level diagrams for nitrogen (N) and potassium (K).

**Question 6 **

Calculate the magnitude of the angular momentum of an electron in the *n = 7, **l **= 5 *state of hydrogen.