linear momentum - 2024 ACF Fall

Question

Position is the conjugate variable of this quantity since it is the Fourier transform of this quantity. For 10 points each:

[10m] Name this quantity which is inversely proportional to a particle’s de Broglie wavelength.

ANSWER: linear momentum [reject “angular momentum”]

[10e] Position and momentum are the subject of an uncertainty principle named after this German physicist.

ANSWER: Werner Karl Heisenberg [accept Heisenberg uncertainty principle; prompt on HUP]

[10h] The uncertainty principle states the product of the standard deviations of position and momentum is greater than this constant over two. In the Bohr model, angular momentum equals integer multiples of this constant.

ANSWER: reduced Planck constant [or h bar; reject “Planck’s constant”; reject “h”]

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Summary


2024 ACF Fall at Claremont Colleges	fall	Y	5	22.00	100%	80%	40%
2024 ACF Fall at Cornell	fall	Y	9	12.22	78%	33%	11%
2024 ACF Fall at Illinois	fall	Y	9	20.00	100%	44%	56%
2024 ACF Fall at Rutgers	fall	Y	1	30.00	100%	100%	100%
2024 ACF Fall at Rutgers	fall	Y	8	15.00	100%	38%	13%
2024 ACF Fall at Ohio State	fall	Y	8	13.75	100%	13%	25%
2024 ACF Fall at Washington	fall	Y	6	18.33	100%	67%	17%
2024 ACF Fall at Georgia	fall	Y	10	14.00	90%	30%	20%
2024 ACF Fall at Georgia	fall	Y	1	20.00	100%	0%	100%
2024 ACF Fall at North Carolina	fall	Y	9	13.33	89%	22%	22%

Data


UCLA D	UCLA B	10	10	0	20
UCLA E	Claremont A	10	10	10	30
Claremont B	Claremont C	0	10	0	10
UCLA C	UCLA A	10	10	0	20
UCSD	USC	10	10	10	30
RIT B	Binghamton A	10	10	0	20
Cornell G	Binghamton B	0	10	0	10
U of Rochester B	Binghamton C	0	10	0	10
Cornell D	Syracuse	10	10	10	30
Cornell E	Cornell C	0	0	0	0
Cornell A	Cornell F	0	10	0	10
U of Rochester A	ESF	0	10	0	10
Penn State	Cornell B	0	0	0	0
RIT A	RIT C	10	10	0	20
Chicago B	Illinois B	0	10	0	10
Illinois C	WashU A	10	10	10	30
Northwestern B	Illinois D	10	10	10	30
Indiana	Iowa B	0	10	0	10
Purdue B	Notre Dame A	10	10	10	30
Chicago A	Notre Dame B	10	10	10	30
Purdue C	Purdue A	0	10	0	10
Iowa A	SIUE	0	10	0	10
Illinois A	WashU B	0	10	10	20
Lehigh A	Rowan A	0	10	10	20
Lehigh A	Rowan A	0	10	0	10
Lehigh A	Bard A	10	10	10	30
Lehigh A	Bard A	10	10	0	20
NYU B	Bard A	0	10	0	10
Columbia A	Penn A	10	10	0	20
Columbia J	Fordham A	10	10	0	20
Lehigh A	Rowan A	0	10	10	20
Lehigh A	Rowan A	0	10	0	10
Lehigh A	Bard A	10	10	10	30
Lehigh A	Bard A	10	10	0	20
Rutgers B	Lehigh B	0	10	10	20
Penn B	NYU A	0	10	0	10
Maryland B	Princeton A	0	10	0	10
Columbia B	Rutgers A	10	10	0	20
Michigan State B	Jefferson County Scholars	0	10	0	10
CWRU A	Miami B	0	10	0	10
West Virginia B	CWRU B	0	10	0	10
Michigan State A	West Virginia A	0	10	10	20
Michigan A	Ohio State A	0	10	0	10
Ohio State B	Miami C	0	10	0	10
CWRU C	Ohio State C	0	10	0	10
Michigan B	Miami A	10	10	10	30
UW Chastity	UW Sloth	0	10	0	10
UW Envy	UW Gluttony	10	10	0	20
UW Greed	UW Pride	0	10	0	10
UW Wrath	Alberta	10	10	0	20
Arizona State B	Boise State	10	10	10	30
UBC B	Arizona State A	10	10	0	20
Clemson B	Emory Oxford	10	10	0	20
Georgia Tech B	Furman	0	10	10	20
Auburn B	Georgia Tech D	0	10	0	10
Clemson A	Mississippi State A	0	10	0	10
Auburn C	Georgia Tech A	10	10	0	20
Georgia Tech C	Auburn A	0	10	0	10
Belmont	South Carolina A	0	10	0	10
Tennessee B	Emory A	0	0	0	0
Tennessee A	Vanderbilt A	10	10	10	30
Vanderbilt B	Southern	0	10	0	10
Georgia Tech E	Georgia A	0	10	10	20
Appalachian State A	UNC A	0	10	0	10
Virginia Tech A	Appalachian State B	0	10	0	10
Duke A	Liberty C	0	10	0	10
James Madison B	Duke B	0	0	0	0
UNC C	Liberty B	0	10	0	10
Tusculum	UNC B	10	10	10	30
VCU	William & Mary	10	10	10	30
Virginia Tech B	James Madison A	0	10	0	10
Virginia	Liberty A	0	10	0	10