# Worksheet: The Quantum Harmonic Oscillator

In this worksheet, we will practice modeling a quantum harmonic oscillator with wave functions analogous to vibrational energy states of classical oscillators.

**Q5: **

A billiard ball of mass 0.200 kg bounces back and forth between the cushions of a 1.50 m long table. No energy is lost during the ball’s motion or during its collisions with the cushions.

If the ball is in its ground state, how many years does it take to move from one cushion to the other?

- A
- B years
- C years
- D years
- E years

How much energy is required to excite the ball from its ground state to its first excited state?

- A J
- B J
- C J
- D J
- E J