Packet 3: Bonus 8
A probability distribution describing this phenomenon equals k divided by the following: the square of the quantity “M squared minus M nought squared,” plus M nought squared times capital gamma squared. For 10 points each:
[10e] What phenomenon causes an oscillator’s amplitude to increase when it is driven near its natural frequency?
ANSWER: resonance [or nuclear resonance]
[10h] These two physicists explained why the cross-section of neutron capture increases at energies close to the rest energy of a nucleus in a 1936 paper. Therefore, the distribution describing nuclear resonance is named after them.
ANSWER: Gregory Breit AND Eugene Wigner [accept in either order; accept Breit-Wigner distribution]
[10m] The Breit-Wigner distribution also describes a form of this phenomenon that results from resonance in the Lorentz oscillator model. The “Doppler” form of this phenomenon is caused by the distribution of atoms’ velocities.
ANSWER: spectral line broadening [accept Lorentzian broadening; accept natural broadening]
<FW, Physics> | NAFTA-Packet-3
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 43 | 13.02 | 86% | 30% | 14% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Berkeley A | Constans Constantius and Constantine Jr. | 10 | 0 | 0 | 10 | E |
| Berkeley B | Not Old! (Old) | 10 | 0 | 10 | 20 | EM |
| Team 7 | Stanford A | 10 | 0 | 0 | 10 | E |
| Team 8 | Stanford B | 10 | 0 | 0 | 10 | E |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| 2026 NAFTA at Stanford | 01/17/2026 | ✓ | 4 | 12.50 | 100% | 25% | 0% |
| 2026 NAFTA at UBC | 01/17/2026 | ✓ | 2 | 10.00 | 100% | 0% | 0% |
| 2025 NAFTA Online | 02/14/2026 | ✓ | 4 | 15.00 | 75% | 50% | 25% |
| 2026 NAFTA at Vanderbilt | 02/14/2026 | ✓ | 3 | 16.67 | 100% | 33% | 33% |
| 2025 NAFTA at Toronto | 09/13/2025 | ✓ | 5 | 12.00 | 100% | 20% | 0% |
| 2025 NAFTA at Maryland | 09/27/2025 | ✓ | 5 | 10.00 | 60% | 40% | 0% |
| 2025 NAFTA at Harvard | 10/04/2025 | ✓ | 3 | 13.33 | 100% | 33% | 0% |
| 2025 NAFTA at Oxford | 10/11/2025 | ✓ | 4 | 15.00 | 75% | 50% | 25% |
| 2025 NAFTA at Chicago | 11/08/2025 | ✓ | 6 | 13.33 | 100% | 17% | 17% |
| 2025 NAFTA at Columbia | 11/08/2025 | ✓ | 5 | 10.00 | 60% | 20% | 20% |
| 2025 NAFTA at Richmond | 12/20/2025 | ✓ | 2 | 20.00 | 100% | 50% | 50% |