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Mar 2001

Volume 69, Issue 3, pp. 245-397

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Answer to Question #67. The electric field outside a black hole

Emory F. Bunn and Matthew McIrvin

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 245

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04.70.-s Physics of black holes
41.20.-q Applied classical electromagnetism

Answer to Question #67. The electric field outside a black hole

Kenneth J. Epstein

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 246

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04.70.-s Physics of black holes
41.20.-q Applied classical electromagnetism

Answer to Question #69. Hovering birds

Albert S. Perkins

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 246

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87.19.rs Movement
87.19.ru Locomotion
47.85.Gj Aerodynamics

Answer to Question #69. Hovering birds

Ivan F. Costa and Bernardo A. Mello

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 246

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87.19.rs Movement
87.19.ru Locomotion
47.85.Gj Aerodynamics

Answer to Question #69. Hovering birds

Henn H. Soonpaa

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 247

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87.19.rs Movement
87.19.ru Locomotion
47.85.Gj Aerodynamics

Answer to Question #71. Birds and bombers—Why the V-formation?

Stephen C. Pluntze

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 247

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01.50.-i Educational aids
47.40.-x Compressible flows; shock waves
47.85.Gj Aerodynamics
47.32.C- Vortex dynamics
47.27.-i Turbulent flows
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Thomas D. Rossing: Recipient of the Robert A. Millikan Medal

Larry D. Kirkpatrick

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 248

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43.10.Sv Education in acoustics, tutorial papers of interest to acoustics educators
01.40.-d Education
01.10.Cr Announcements, news, and awards

American Association of Physics Teachers 2000 Award for Excellence in Pre-College Physics Teaching: James H. Nelson

Larry D. Kirkpatrick

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 249

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01.10.Cr Announcements, news, and awards
01.40.-d Education

American Association of Physics Teachers 2000 Award for Excellence in Undergraduate Physics Teaching: Dwight E. Neuenschwander

Larry D. Kirkpatrick

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 250

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01.10.Cr Announcements, news, and awards
01.40.-d Education

“Conversations with ghosts,” Dwight E. Neuenschwander’s acceptance speech for the 2000 Excellence in Undergraduate Physics Teaching Award, 31 July 2000

Dwight E. Neuenschwander

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 251

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01.10.Cr Announcements, news, and awards
01.40.-d Education
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Resource letter CPPPT-1: Critical point phenomena and phase transitions

Jan Tobochnik

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 255 | Cited 6 times

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This Resource Letter provides a guide to the literature on critical point phenomena and phase transitions. Journal articles and books are cited for the following topics: continuous phase transitions, critical points, model systems with special attention to the Ising model and the Kosterlitz–Thouless transition, mean-field theory, computer simulation methods, scaling, universality, and the renormalization group. © 2001 American Association of Physics Teachers.
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05.70.Fh Phase transitions: general studies
64.60.A- Specific approaches applied to studies of phase transitions
01.50.-i Educational aids
75.40.-s Critical-point effects, specific heats, short-range order
75.10.Hk Classical spin models
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
05.70.Jk Critical point phenomena
64.70.-p Specific phase transitions

EPR test with photons and kaons: Analogies

N. Gisin and A. Go

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 264 | Cited 22 times

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We present a unified formalism describing the Einstein–Podolsky–Rosen test using spin ½ particles, photons, and kaons. This facilitates the comparison with existing experiments using photons and kaons. It underlines the similarities between birefringence and polarization-dependent losses that affect experiments using optical fibers and mixing and decay that are intrinsic to the kaons. We also discuss the limitation these two characteristics impose on the testing of Bell’s inequality. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
03.65.Ta Foundations of quantum mechanics; measurement theory

Beth’s experiment using optical tweezers

D. N. Moothoo, J. Arlt, R. S. Conroy, F. Akerboom, A. Voit, and K. Dholakia

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 271 | Cited 17 times

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We show how a student may construct simple and versatile optical tweezers to manipulate micron-sized particles. The tweezers apparatus is used to set birefringent calcite particles into rotation using circularly polarized light. This demonstrates the mechanical transfer of the angular momentum associated with circularly polarized light from the laser beam to the trapped particle. This offers the student a method for performing Beth’s experiment qualitatively in the undergraduate laboratory. © 2001 American Association of Physics Teachers.
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01.50.Pa Laboratory experiments and apparatus
37.10.Vz Mechanical effects of light on atoms, molecules, and ions
37.10.Mn Slowing and cooling of molecules
37.10.Pq Trapping of molecules

Emil Wiechert (1861–1928): Esteemed seismologist, forgotten physicist

Joseph F. Mulligan

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 277 | Cited 3 times

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Emil Wiechert was well known during his lifetime as Professor of Geophysics at the Georg-August-Universität in Göttingen and Director of the Geophysical Institute there. He made many significant contributions to geophysics and seismology, and is highly respected by present-day geophysicists for his research and organizational contributions to the development of geophysics and seismology as major scientific disciplines. On the other hand, his contributions to fundamental physics—cathode rays, the discovery of the electron, the Liénard–Wiechert potentials, his electron theory—are unknown to many physicists today. This article presents Wiechert’s life, achievements in physics, and relationship to well-known physicists like Arnold Sommerfeld, Hendrik Lorentz, and Woldemar Voigt, to enable contemporary physicists to know better Wiechert’s important contributions to pure physics, and to appreciate more fully his role in the history of physics. © 2001 American Association of Physics Teachers.
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01.60.+q Biographies, tributes, personal notes, and obituaries
01.55.+b General physics
03.50.De Classical electromagnetism, Maxwell equations
41.00.00 Electromagnetism; electron and ion optics

Teaching antenna radiation from a time-domain perspective

Glenn S. Smith

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 288 | Cited 13 times

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Radiation from a simple wire antenna, such as a dipole, is a topic discussed in many courses on electromagnetism. These discussions are almost always restricted to harmonic time dependence. A time-harmonic current distribution is assumed on the wire, and the time-harmonic radiated field is determined. The purpose of this paper is to show that simple wire antennas with a general excitation, e.g., a pulse in time, can be analyzed easily using approximations no worse than those used with time-harmonic excitation, viz. an assumed current distribution. Expressions are obtained for the electromagnetic field of the current that apply at any point in space (in the near zone as well as in the far zone). The analysis in the time domain provides physical understanding not readily available from the time-harmonic analysis. In addition, an interesting analogy can be drawn between the radiation from these antennas when excited by a short pulse of current and the radiation from a moving point charge. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
84.40.Ba Antennas: theory, components and accessories

Listening to the coefficient of restitution - revisited

I. Stensgaard and E. Lægsgaard

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 301 | Cited 12 times

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We present a new method for measuring the coefficient of restitution between a steel ball and a flat, smooth surface, based on the recording of sound files with a PC. We demonstrate how a simple and straightforward analysis of the sound files yields the coefficient of restitution as a function of velocity. The time resolution of many PC sound cards allows us to measure the collision time and hence to estimate the average impulsive force and the stress exerted on the surface. This in turn provides a basis for a discussion of energy loss mechanisms. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
62.20.D- Elasticity
46.25.-y Static elasticity

A link between the bounds on relativistic velocities and areas of hyperbolic triangles

C. Criado and N. Alamo

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 306 | Cited 3 times

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In this paper we show the mathematical equivalence between two well-known facts: the existence of an upper bound for the area in Lobachevskian geometry and the existence of a limit for relativistic velocities. The key point is that the space of relativistic velocities can be interpreted as a Lobachevskian space. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
02.40.Hw Classical differential geometry
02.40.Ma Global differential geometry
03.30.+p Special relativity

Acoustic quality factor and energy losses in cylindrical pipes

Michael J. Moloney and Daniel L. Hatten

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 311 | Cited 9 times

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The quality factor Q of a damped oscillator equals 2π times the ratio of stored energy to the energy dissipated per cycle. This makes Q a sensitive probe of energy losses. Using modest equipment, we measured the acoustical Q for a set of cylindrical pipes having the same resonant frequency, but different diameters D. The graph of Q vs D could be well fitted with two parameters, one of which corresponds to energy loss via radiation from the ends of the pipe, and the other to thermal and viscous losses very close to the pipe wall. The wall loss parameter was quite constant no matter where the pipes were located, but the radiative loss parameter varied significantly with location inside a room, suggesting that room reflections affected the sound radiated from the pipe. This study offers valuable insights at no great expense, and could be the basis of an upper-division undergraduate laboratory experiment. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
43.25.Gf Standing waves; resonance

Navigation in curved space–time

Thomas B. Bahder

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 315 | Cited 11 times

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A covariant and invariant theory of navigation in curved space–time with respect to electromagnetic beacons is written in terms of J. L. Synge’s two-point invariant world function. Explicit equations are given for navigation in space–time in the vicinity of the Earth in Schwarzschild coordinates and in rotating coordinates. The restricted problem of determining an observer’s coordinate time when his or her spatial position is known is also considered. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
04.20.Gz Spacetime topology, causal structure, spinor structure

Self-adjoint extensions of operators and the teaching of quantum mechanics

Guy Bonneau, Jacques Faraut, and Galliano Valent

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 322 | Cited 54 times

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For the example of the infinite well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe the self-adjoint extensions and their spectra for the momentum and the Hamiltonian operators in different settings. Additional physical requirements such as parity, time reversal, and positivity are used to restrict the large class of self-adjoint extensions of the Hamiltonian. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids

The physics of sliding cylinders and curling rocks

A. Raymond Penner

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 332 | Cited 12 times

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The lateral deflection of a rotating cylindrical shell sliding on one of its ends is considered and both theoretical and experimental results are presented. The coefficient of kinetic friction between a curling rock and an ice surface is then derived and compared with experiment. Current models of the motion of a curling rock are discussed and an alternate hypothesis is presented. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
46.55.+d Tribology and mechanical contacts
01.55.+b General physics
45.05.+x General theory of classical mechanics of discrete systems

Measures of spread for periodic distributions and the associated uncertainty relations

G. W. Forbes and M. A. Alonso

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 340 | Cited 14 times

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A physicist’s intuition in Fourier theory is generally established from the parallels between Fourier series and transforms. Remarkably, one element of this theory that is especially significant in physics, namely the uncertainty principle, is never treated for Fourier series. We resolve this by first showing that a natural measure of spread for a periodic distribution follows simply upon regarding the distribution as a mass density on a ring. Even though the centroid of this ring is expressed in terms of just a first moment, its distance from the geometric center gives a close analog of variance. We then derive direct analogs of the uncertainty principle for both the Fourier series of a continuous periodic function as well as the fast Fourier transform of discrete data. The results have similar applications to those of the standard uncertainty principle. © 2001 American Association of Physics Teachers.
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03.65.Ta Foundations of quantum mechanics; measurement theory
02.30.Lt Sequences, series, and summability
01.40.-d Education
01.50.-i Educational aids
02.30.Nw Fourier analysis
02.30.Uu Integral transforms

The magic tesseracts and Bell’s theorem

P. K. Aravind

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 348 | Cited 2 times

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This paper describes a toy, consisting of a pair of magic tesseracts, that can be used to perform an amazing trick that defies explanation in conventional terms. An account of the toy, and the trick possible with it, is given in nontechnical terms that should be accessible to a layman. An explanation is then given, for physicists, of how this trick can be interpreted as a proof of Bell’s theorem. An appendix (again intended for physicists) describes the internal machinery of the toy and how it works its magic. © 2001 American Association of Physics Teachers.
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01.50.Wg Physics of toys
03.65.Ta Foundations of quantum mechanics; measurement theory

The dynamics of a massless hoop

W. F. D. Theron and N. M. du Plessis

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 354 | Cited 1 time

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For many years it was believed that a rigid, massless hoop which is loaded with a heavy particle on its rim and rolling on a rough surface would hop when the normal reaction became zero. This is a hypothetical model that raises a number of very interesting and subtle aspects of dynamics. In this paper the motion of such hoops is analyzed in detail, and a new motion with unusual characteristics is found. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids

Eikonal equation from continuum mechanics and analogy between equilibrium of a string and geometrical light rays

Consuelo Bellver-Cebreros and Marcelo Rodriguez-Danta

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 360 | Cited 5 times

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This work of didactic character on geometrical optics consists of two parts, whose main link is the use of methods associated with continuum physics. First, the formalism of continuum physics is applied in order to derive the eikonal equation from the study of propagation of discontinuities in electromagnetic fields in such a way that the eikonal equation is an exact derivation from Maxwell equations. The results obtained are well known from the works of Luneburg [Mathematical Theory of Optics (California U.P., Berkeley, 1964)], although the method used is new and efficient and provides a good occasion to use the continuum physics beyond its standard applications. Second, from the identity between the differential equation of light rays and the equilibrium equation of a flexible and inextensible string subjected to a conservative force, the analogy between both physical models is inferred. To illustrate this analogy, two applications in the realms of mechanics and optics are shown. The obtained results in statics have been reinterpreted from the dynamical scheme. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
42.15.-i Geometrical optics
46.15.-x Computational methods in continuum mechanics

Generalizing the Heisenberg uncertainty relation

Eric D. Chisolm

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 368 | Cited 9 times

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The proof of the Heisenberg uncertainty relation is modified to produce two improvements: (a) The resulting inequality is stronger because it includes the covariance between the two observables, and (b) the proof lifts certain restrictions on the state to which the relation is applied, increasing its generality. The restrictions necessary for the standard inequality to apply are not widely known, and they are discussed in detail. The classical analog of the Heisenberg relation is also derived, and the two are compared. Finally, the modified relation is used to address the apparent paradox that eigenfunctions of the z component of angular momentum Lz do not satisfy the ϕLz Heisenberg relation; the resolution is that the restrictions mentioned above make the usual inequality inapplicable to these states. The modified relation does apply, however, and it is shown to be consistent with explicit calculations. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
03.65.Ta Foundations of quantum mechanics; measurement theory

A new solution for inflation

Valerio Faraoni

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 372 | Cited 1 time

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Cosmological inflation is very important for modern cosmology. Many pedagogical introductions of inflation are effective due to the simplicity of the relevant equations. Here an analytic solution of the cosmological equations is presented and used as an example to discuss fundamental aspects of the inflationary paradigm. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)
95.30.Sf Relativity and gravitation

Radioactivity teaching: Environmental consequences of the radiological accident in Goiânia (Brazil)

R. M. Anjos, A. Facure, E. L. N. Lima, P. R. S. Gomes, M. S. Santos, J. A. P. Brage, E. Okuno, E. M. Yoshimura, and N. K. Umisedo

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 377 | Cited 4 times

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Ionizing radiation and its effects on human beings, radiation protection, and radiological accident prevention are topics usually not included in the physics courses at the Brazilian universities. As a consequence, high school teachers are not able to enlighten their students when radiological or nuclear accidents occur. This paper presents a teaching program on ionizing radiation physics, to be applied to undergraduate physics students and to physics high school teachers. It is based on the environmental consequences of the 1987 radiological accident in Goiânia. This program was applied to two undergraduate physics students, in 1999, at the Universidade Federal Fluminense, Brazil. Results of the gamma ray spectrometry measurements of samples collected in Goiânia by the students are presented. © 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
89.60.-k Environmental studies
87.53.-j Effects of ionizing radiation on biological systems
87.55.N- Radiation monitoring, control, and safety
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Nonreflecting termination of a mass-and-spring lattice

Bruce Denardo and Steven R. Baker

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 382 | Cited 1 time

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© 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

Comment on “Field pattern of a magnetic dipole” [Am. J. Phys. 68 (6), 577–578 (2000)] by J. P. McTavish

N. Gauthier

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 384 | Cited 1 time

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Abstract Unavailable
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01.50.-i Educational aids
41.20.-q Applied classical electromagnetism

The falling chain and energy loss

David Keiffer

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 385

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© 2001 American Association of Physics Teachers.
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01.50.-i Educational aids
45.40.-f Dynamics and kinematics of rigid bodies
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A simple extension of Rüchardt’s method for measuring the ratio of specific heats of air using microcomputer-based laboratory sensors

G. D. Severn and T. Steffensen

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 387 | Cited 2 times

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A lower division laboratory experiment is described which measures the ratio of specific heats for air, γCp/Cv, using Rüchardt’s method augmented by microcomputer-based laboratory sensors. A low pressure gauge transducer records the damped pressure oscillations, leading to a value of γ=1.41±0.04. Adding a laser switch, one can extend the method to determine γ from the ratio of pressure and volume variations, γ=−(dp/dV)(V/p), which yields 1.33±0.05. Nonadiabatic processes are considered. © 2001 American Association of Physics Teachers.
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01.50.Pa Laboratory experiments and apparatus
01.50.ht Instructional computer use
51.30.+i Thermodynamic properties, equations of state
07.07.Df Sensors (chemical, optical, electrical, movement, gas, etc.); remote sensing

The free rotator apparatus

Harold A. Daw and M. Ramona Daw Pomeroy

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 389 | Cited 1 time

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01.50.My Demonstration experiments and apparatus
45.40.Cc Rigid body and gyroscope motion
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Cosmology and Particle Astrophysics

Lars Bergström, Author, Ariel Goobar, Author, and Andrew H. Jaffe, Reviewer

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 394

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Abstract Unavailable
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01.30.Vv Book reviews
98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)
95.30.Sf Relativity and gravitation
95.30.Cq Elementary particle processes
98.80.Jk Mathematical and relativistic aspects of cosmology
98.80.Qc Quantum cosmology
95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)
04.20.-q Classical general relativity

In the Shadow of the Bomb: Oppenheimer, Bethe, and the Moral Responsibility of the Scientist

S. S. Schweber, Author and Leo Sartori, Reviewer

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 394

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01.60.+q Biographies, tributes, personal notes, and obituaries
01.70.+w Philosophy of science
01.30.Vv Book reviews

The Odd Quantum

Sam B. Treiman, Author and Barry Holstein, Reviewer

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 395

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Abstract Unavailable
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01.30.Vv Book reviews
03.65.-w Quantum mechanics
03.70.+k Theory of quantized fields

Integrated Physics and Calculus

Andrew F. Rex, Author, Martin Jackson, Author, and Robert G. Fuller, Reviewer

American Journal of Physics -- March 2001 -- Volume 69, Issue 3, pp. 396

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Abstract Unavailable
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01.30.Vv Book reviews
01.55.+b General physics
02.30.Vv Operational calculus
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