cyclotron frequency - 2025 ACF Fall

Question

The energy of the n-th Landau level equals h-bar times this quantity times n plus one-half. For 10 points each:

[10h] Name this quantity that is classically equal to q times B over m. This quantity determines the rate of circular motion of a charged particle in a uniform magnetic field.

ANSWER: cyclotron frequency [prompt on frequency; prompt on angular frequency or omega]

[10e] Cyclotrons are a cylindrical type of these devices that have largely been supplanted by circular synchrotrons. One such synchrotron is CERN’s Large Hadron Collider.

ANSWER: particle accelerators [accept beam colliders or atom smashers]

[10m] Lighter particles in synchrotrons produce large amounts of radiation because the power of synchrotron radiation depends on this quantity to the fourth. This quantity equals one over the square root of the quantity “one minus v-squared over c-squared.”

ANSWER: Lorentz factor [or Lorentz gamma; prompt on gamma]

<Editors, Physics>

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Summary


Northern California	Main	Y	1	30.00	100%	100%	100%
Southern California	Main	Y	7	7.14	71%	0%	0%
Eastern Canada (1)	Main	Y	5	12.00	100%	20%	0%
Eastern Canada (2)	Main	Y	9	14.44	100%	44%	0%
Florida	Main	Y	1	10.00	100%	0%	0%
Great Lakes	Main	Y	12	11.67	92%	25%	0%
Lower Mid-Atlantic	Main	Y	9	7.78	67%	11%	0%
Upper Mid-Atlantic	Main	Y	12	11.67	92%	17%	8%
Midwest	Main	Y	9	11.11	89%	22%	0%
North	Main	Y	1	10.00	100%	0%	0%
Northeast	Main	Y	12	8.33	75%	8%	0%
Pacific	Main	Y	9	10.00	67%	33%	0%
South Central	Main	Y	4	10.00	100%	0%	0%
Southeast	Main	Y	13	10.77	85%	15%	8%
UK (North)	UK	Y	5	8.00	80%	0%	0%
UK (South)	UK	Y	8	13.75	88%	38%	13%
Upstate NY	Main	Y	5	12.00	100%	20%	0%

Data


Stanford B	Berkeley Archer Queen	10	10	10	30
USC B	UC Irvine	0	0	0	0
UC Santa Barbara	UCLA B	0	10	0	10
UCLA A	Claremont C	0	10	0	10
UCLA C	Claremont B	0	10	0	10
UCLA D	UCSD A	0	10	0	10
UCLA F	UCLA E	0	10	0	10
Claremont A	UCSD B	0	0	0	0
Carleton A	Ottawa C	0	10	0	10
McGill A	Ottawa A	0	10	0	10
McGill B	Ottawa D	0	10	10	20
McGill E	Carleton B	0	10	0	10
Ottawa B	McGill C	0	10	0	10
Waterloo C	Guelph A	0	10	10	20
McMaster A	Waterloo A	0	10	0	10
McMaster C	Brock A	0	10	0	10
Toronto B	Toronto A	0	10	0	10
Toronto C	Toronto D	0	10	10	20
Toronto E	Toronto G	0	10	10	20
Toronto F	Toronto I	0	10	0	10
Queen's A	Toronto H	0	10	10	20
Waterloo B	McMaster B	0	10	0	10
Florida A	UCF A	0	10	0	10
Michigan State C	Michigan State D	0	0	0	0
Ohio State A	Ohio State B	0	10	0	10
Louisville D	Pittsburgh	0	10	0	10
Ohio State D	WVU A	0	10	0	10
Louisville C	WVU B	0	10	0	10
CWRU C	Kentucky	0	10	10	20
CWRU A	Louisville A	0	10	10	20
Louisville B	CWRU D	0	10	10	20
Michigan B	CWRU B	0	10	0	10
Ohio State C	Michigan D	0	10	0	10
Michigan State A	Michigan A	0	10	0	10
Michigan C	Michigan State B	0	10	0	10
William & Mary C	Duke A	0	0	0	0
Liberty A	JMU A	0	0	0	0
JMU B	NCSU B	0	10	0	10
Liberty B	Tusculum A	0	0	0	0
UNC A	Virginia A	0	10	0	10
UNC B	UNC D	0	10	0	10
VCU A	UNC C	0	10	0	10
Virginia Tech A	NCSU A	0	10	10	20
William & Mary A	Virginia Tech B	0	10	0	10
George Mason B	Penn	0	10	0	10
Rutgers A	George Mason A	0	10	0	10
Lehigh A	Lehigh B	0	0	0	0
Maryland C	Maryland A	0	10	0	10
NYU A	Maryland B	0	10	0	10
NYU B	Columbia A	0	10	0	10
Princeton	Rutgers B	10	10	0	20
NYU C	Rowan	0	10	0	10
Rutgers C	Columbia B	0	10	10	20
Vassar A	Rutgers D	0	10	0	10
George Mason C	Vassar B	0	10	0	10
Johns Hopkins	Stony Brook	0	10	10	20
Purdue A	Illinois Blue	0	10	0	10
Chicago A	WashU Grolars	0	10	0	10
Illinois Orange	Illinois Champaign	0	10	10	20
Illinois Urbana	William Woods University A	0	10	10	20
Indiana A	Purdue C	0	10	0	10
Rose-Hulman A	Iowa A	0	0	0	0
WashU Grizzlers	Purdue B	0	10	0	10
Indiana B	Purdue D	0	10	0	10
Illinois Canada	Chicago B	0	10	0	10
Iowa State	Wisconsin A	0	10	0	10
Amherst A	Vermont B	0	0	0	0
Boston College A	Brown B	0	10	0	10
Tufts C	Boston University B	0	10	0	10
Williams A	Dartmouth A	0	10	0	10
Dartmouth B	Brandeis Mozart	0	10	0	10
Dartmouth C	Brandeis Beethoven	0	0	0	0
Harvard	MIT B	0	10	0	10
Tufts A	Brown A	0	10	0	10
UConn A	Brandeis Bach	0	10	0	10
Boston University A	Vermont A	0	0	0	0
Williams B	MIT A	0	10	10	20
Alberta A	Washington Chum	0	10	0	10
Arizona State B	Washington State	0	10	10	20
Washington Atlantic	Boise State	0	0	0	0
British Columbia C	British Columbia A	0	10	0	10
Washington Sockeye	British Columbia B	0	10	0	10
Texas	Washington Pink	0	0	10	10
Washington Masu	Washington Chinook	0	10	0	10
Washington Coho	Alberta B	0	0	0	0
Arizona State A	Washington Steelhead	0	10	10	20
Amherst B	Boston College B	0	10	0	10
Murray State College B	Central Oklahoma A	0	10	0	10
Oklahoma	Nebraska A	0	10	0	10
Nebraska C	Nebraska B	0	10	0	10
Murray State College A	Tulsa A	0	10	0	10
Alabama A	Tennessee A	0	10	0	10
Auburn C	Vanderbilt B	0	0	0	0
Auburn A	Emory A	0	10	0	10
Georgia Tech F	Georgia A	0	10	0	10
Chipola College	Georgia Tech A	0	10	0	10
Georgia Tech B	Tennessee Tech	0	0	10	10
Georgia Tech C	South Carolina A	10	10	10	30
Clemson B	Georgia Tech D	0	10	0	10
Georgia Tech E	Auburn B	0	10	0	10
Vanderbilt C	Mississippi State A	0	10	0	10
Montevallo	Sewanne	0	10	0	10
Clemson C	Tennessee B	0	10	0	10
Vanderbilt A	Clemson A	0	10	0	10
Edinburgh C	Sheffield A	0	0	0	0
Edinburgh D	Durham B	0	10	0	10
Edinburgh B	Edinburgh A	0	10	0	10
York	Durham D	0	10	0	10
Sheffield B	Durham A	0	10	0	10
Bristol	Imperial D	0	0	0	0
Cambridge B	Southampton	0	10	10	20
Cambridge D	Imperial B	10	10	10	30
Imperial A	Birmingham	0	10	10	20
Imperial C	Oxford	0	10	0	10
LSE	Cambridge C	0	10	0	10
Warwick	Cambridge E	0	10	0	10
Binghamton A	Cornell A	0	10	0	10
ESF	Binghamton B	0	10	0	10
Cornell C	Binghamton C	0	10	0	10
RIT A	Cornell D	0	10	0	10
Cornell B	Rochester	0	10	10	20
Cardiff	Cambridge A	0	10	0	10