Question
By definition, anharmonic oscillators deviate from this statement. For 10 points each:
[10e] Name this law that states that force equals the negative spring constant times displacement.
ANSWER: Hooke’s law
[10m] Though pendulums are anharmonic oscillators, their motion is approximated by that of harmonic oscillators because, for small angle theta, “one minus one-half theta-squared” is approximately equal to this function of theta.
ANSWER: cosine [or cos]
[10h] An anharmonic oscillator whose potential has a small fourth-degree term is an introductory example to this theory. This theory decomposes the Hamiltonian with one of a similar solved system in order to approximate solutions to the Schrödinger equation.
ANSWER: perturbation theory [or time-independent perturbation theory]
<Forrest Weintraub, Science - Physics> ~23208~ <Editor: David Bass>
Data
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2024 PACE NSC | 06/08/2024 | Y | 33 | 16.36 | 106% | 30% | 27% |