linear momentum - 2024 ACF Fall at Rutgers

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 Cornell	fall	Y	9	12.22	78%	33%	11%
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 North Carolina	fall	Y	9	13.33	89%	22%	22%
2024 ACF Fall at Claremont Colleges	fall	Y	5	22.00	100%	80%	40%
2024 ACF Fall at Rutgers	fall	Y	8	27.50	75%	100%	100%
2024 ACF Fall at Rutgers	fall	Y	8	15.00	100%	38%	13%
2024 ACF Fall at Illinois	fall	Y	9	20.00	100%	44%	56%

Data


Lehigh A (UG)	Bard A (UG)	10	10	10	30
Lehigh A (UG)	Rowan A (DII)	0	10	10	20
Lehigh A (UG)	Bard A (UG)	10	10	10	30
Lehigh A (UG)	Rowan A (DII)	0	10	10	20
Columbia A (UG)	Columbia B	10	10	10	30
Columbia A (UG)	Penn A (DII)	10	10	10	30
Columbia A (UG)	Columbia B	10	10	10	30
Columbia A (UG)	Penn A (DII)	10	10	10	30
Penn A (DII)	Fordham A	10	10	10	30
Lehigh B (DII)	Maryland B (DII)	10	10	10	30
Maryland A (DII)	NYU A (UG)	10	10	10	30
Rutgers A (UG)	Penn B (DII)	10	10	10	30
Princeton A (UG)	NYU B	10	0	10	20
Rutgers B	Rowan A (DII)	10	10	10	30
Rutgers B	Lehigh B (DII)	0	10	10	20
Rutgers B	Rowan A (DII)	10	0	10	20
Rutgers B	Lehigh B (DII)	0	0	10	10
NYU B	Bard A (UG)	0	10	0	10
Columbia A (UG)	Columbia B	10	10	0	20
Columbia A (UG)	Penn A (DII)	10	10	0	20
Columbia A (UG)	Columbia B	10	10	0	20
Columbia A (UG)	Penn A (DII)	10	10	0	20
Columbia J (DII)	Fordham A	10	10	0	20
Lehigh A (UG)	Bard A (UG)	10	10	0	20
Lehigh A (UG)	Rowan A (DII)	0	10	0	10
Lehigh A (UG)	Bard A (UG)	10	10	0	20
Lehigh A (UG)	Rowan A (DII)	0	10	0	10
Rutgers B	Rowan A (DII)	10	10	10	30
Rutgers B	Lehigh B (DII)	0	10	10	20
Rutgers B	Rowan A (DII)	10	0	10	20
Rutgers B	Lehigh B (DII)	0	0	10	10
Penn B (DII)	NYU A (UG)	0	10	0	10
Maryland B (DII)	Princeton A (UG)	0	10	0	10
Columbia B	Rutgers A (UG)	10	10	0	20