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A Simple Application of a Trigonometric Inequality to the Relativistic Doppler Effect 三角不等式在相对论多普勒效应中的简单应用
The Physics Educator Pub Date : 2023-12-01 DOI: 10.1142/s266133952320007x
E. Benedetto, Luca D’Errico, A. Feoli, A. L. Iannella
{"title":"A Simple Application of a Trigonometric Inequality to the Relativistic Doppler Effect","authors":"E. Benedetto, Luca D’Errico, A. Feoli, A. L. Iannella","doi":"10.1142/s266133952320007x","DOIUrl":"https://doi.org/10.1142/s266133952320007x","url":null,"abstract":"In recent years, the special theory of relativity (SR) has been included in high school curricula in almost all countries. In addition to the classic demonstrations of the relativity of time and lengths, another interesting relativistic phenomenon that is shown, is the transverse Doppler effect. Obviously it is not possible to rigorously prove, at the high school level, the final relation but, from it, we have analyzed some physical consequences using trigonometry. In this paper, which has a didactic aim, we summarize one of our lessons held during some of the in-depth lectures on relativity that we often organize for high school students in our area.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"60 1-2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139190661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Interesting Facts About Planck’s Law of Blackbody Radiation 关于普朗克黑体辐射定律的一些有趣事实
The Physics Educator Pub Date : 2023-12-01 DOI: 10.1142/s2661339523200081
Anuradha Gupta, Deepak Jain
{"title":"Some Interesting Facts About Planck’s Law of Blackbody Radiation","authors":"Anuradha Gupta, Deepak Jain","doi":"10.1142/s2661339523200081","DOIUrl":"https://doi.org/10.1142/s2661339523200081","url":null,"abstract":"Introductory textbooks of Modern and Thermal Physics discuss the Planck radiation law as a backbone of the blackbody radiation spectrum. This law is used to explain the intensity of blackbody radiation as a function of either frequency or wavelength at a given temperature. In the introductory coursework, the Planck’s formula is also used to study other blackbody radiation laws such as Stefans–Boltzmann law, Wien’s Displacement law, Rayleigh–Jeans Law and Wien’s Distribution law. In this work, we highlight some interesting facts related to the total energy density, photon number density and average energy of photon of blackbody radiation. The main objective of this work is to focus on the lesser known features associated with physics of blackbody radiation. We believe that these simple analytic calculations may give very useful and interesting information about the Planck radiation law to the undergraduate students.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"12 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139191841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Viscous Behavior of Fluids in the Eyes of Adults: A Global Survey 成人眼中液体的粘性行为：全球调查
The Physics Educator Pub Date : 2023-11-03 DOI: 10.1142/s2661339523500178
Markus Sebastian Feser, I. Krumphals
{"title":"Viscous Behavior of Fluids in the Eyes of Adults: A Global Survey","authors":"Markus Sebastian Feser, I. Krumphals","doi":"10.1142/s2661339523500178","DOIUrl":"https://doi.org/10.1142/s2661339523500178","url":null,"abstract":"The viscous behavior of fluids can be observed in numerous everyday situations. Therefore, it is reasonable to assume that people, since they are usually not specialists in fluids’ flow behavior, possess naïve conceptions about the viscous behavior of fluids. These conceptions more or less deviate from corresponding scientific explanations. Qualitative studies with preschool children and secondary school students from Germany have already identified various naïve conceptions about the viscous behavior of fluids (e.g. that the density or stickiness of a substance explains its viscous behavior). Within the present study, we explore the question of whether similar naïve conceptions can also be found among adults around the globe. To this end, based on previous research, an online questionnaire was developed to survey adults worldwide regarding their naïve conceptions about the viscous behavior of fluids. The survey was conducted anonymously, online, and voluntarily in spring 2023; participants were recruited via SurveySwap. A total of 406 adults from all regions of the world (primarily Europe and North America) participated in the survey. In this paper, we report and discuss the main findings of this online survey.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139290103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Philosophical Minimum for Physics Teachers? 物理教师的哲学最低要求?
The Physics Educator Pub Date : 2023-09-01 DOI: 10.1142/s2661339523500105
Leonardo Colletti
{"title":"A Philosophical Minimum for Physics Teachers?","authors":"Leonardo Colletti","doi":"10.1142/s2661339523500105","DOIUrl":"https://doi.org/10.1142/s2661339523500105","url":null,"abstract":"Teaching science in the secondary school requires the ability to connect to other worlds, so as to provide students not only with the basis for any future technical disciplinary skills, but also with an integrated general culture. This is all the more valid for physics, as it often meets with hostility or disinterest from students. Among the various fields of knowledge, philosophy is one of those that most spontaneously offers opportunities to engage with the topics addressed in a physics course. What philosophical skills and knowledge must physics teachers have, then, in order to complement their lessons with philosophical suggestions? Here I propose a few, which I consider the indispensable minimum and which are validated by both the personal teaching experience and the opinion of trainee teachers.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135254698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigation of the Dynamics and Electromagnetism of Homopolar-Like Motor Undergoing Circular Motion 作圆周运动的类同极电机的动力学和电磁学研究
The Physics Educator Pub Date : 2023-09-01 DOI: 10.1142/s2661339523500142
Shanay Jindal, Bernard Ricardo
{"title":"Investigation of the Dynamics and Electromagnetism of Homopolar-Like Motor Undergoing Circular Motion","authors":"Shanay Jindal, Bernard Ricardo","doi":"10.1142/s2661339523500142","DOIUrl":"https://doi.org/10.1142/s2661339523500142","url":null,"abstract":"A homopolar motor-like system is investigated in this work, where a cylindrical battery is attached with button magnets of different diameters at both ends, and the system is placed on an aluminium foil, resulting in a circular motion. The physics behind the system is discussed and elaborated qualitatively and quantitatively in this paper, including the electromagnetic field generated by the magnets and the battery, and the relevant rotational and translational dynamics. Due to the complicated vector calculus and visualization required, electromagnetism is often considered counter-intuitive and challenging even for undergraduate students to comprehend. This paper aims to enhance the understanding of such systems without relying on very complex mathematics or visualizations of the various fields and forces.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135255625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two Simple Experiments Using FFT with Digital Devices in the Introductory Physics Laboratory 介绍物理实验室中使用数字设备进行FFT的两个简单实验
The Physics Educator Pub Date : 2023-09-01 DOI: 10.1142/s2661339523500130
Eugenio Tufino, Luigi Gratton, Stefano Oss
{"title":"Two Simple Experiments Using FFT with Digital Devices in the Introductory Physics Laboratory","authors":"Eugenio Tufino, Luigi Gratton, Stefano Oss","doi":"10.1142/s2661339523500130","DOIUrl":"https://doi.org/10.1142/s2661339523500130","url":null,"abstract":"We propose two experiments suited for high school and/or undergraduate physics laboratory which are aimed at the discovery of the practical meaning and utility of the FFT analysis as a mathematical and graphical instrument. They intend to discriminate different periodic signals in various situations, ranging from basic, demonstrative measurements to very complex, real-research experiments. In our proposal, inexpensive digital instruments can be used, with surprisingly accurate results.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135249565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Circuit Analysis by Geometric Kirchhoff’s Laws 用几何基尔霍夫定律分析电路
The Physics Educator Pub Date : 2023-09-01 DOI: 10.1142/s2661339523500117
Seok-In Hong
{"title":"Circuit Analysis by Geometric Kirchhoff’s Laws","authors":"Seok-In Hong","doi":"10.1142/s2661339523500117","DOIUrl":"https://doi.org/10.1142/s2661339523500117","url":null,"abstract":"An intuitive geometric method of circuit analysis is introduced through the example of the Wheatstone bridge. In this method, a resistor is expressed as a rectangle whose (horizontal) width and (vertical) height represent the current passing through and the potential difference across the resistor, respectively. Remarkably, Kirchhoff’s current and voltage laws for a connected planar resistive network with an ideal voltage source are simply expressed as the width and height conservation of the relevant rectangles in a mosaic of rectangles, respectively, where the laws are automatically satisfied, and sufficient to obtain a complete solution. These geometric Kirchhoff’s laws convert the solving of the resistive network into a mathematical game. Moreover, the geometric equivalence of the horizontal and vertical directions immediately generates the solution to the network dual to a connected planar resistive network. The geometric approach in this article shall intrigue university students and teachers alike in circuit analysis.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135249606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solutions of the Ortvay Rudolf International Competition in Physics: Can One See One’s Own Back Around a Black Hole? (1991/12 Problem) 奥特威·鲁道夫国际物理竞赛解答:在黑洞周围能看到自己的背影吗?问题(1991/12)
The Physics Educator Pub Date : 2023-09-01 DOI: 10.1142/s2661339523200068
Gombkötő Ákos, Siklér Ferenc
{"title":"Solutions of the Ortvay Rudolf International Competition in Physics: Can One See One’s Own Back Around a Black Hole? (1991/12 Problem)","authors":"Gombkötő Ákos, Siklér Ferenc","doi":"10.1142/s2661339523200068","DOIUrl":"https://doi.org/10.1142/s2661339523200068","url":null,"abstract":"This paper is the fifth in a series of published solutions 1–4 discussing problems of the Ortvay Rudolf international competition. The problem treated below is an exercise in general relativity and geometrical optics. Specifically, we check and interpret an often-heard statement, roughly of the form: “If you were to orbit a black hole around its photon sphere, you would see the back of your own head”. As the calculation involves general relativity, the full treatment of the problem as given in this article is appropriate for university students in advanced classes. However, by omitting the relativistic calculations and only referring to the results, one can easily formulate the problem as an exercise in geometric optics in a way that could be appropriate for introductionary level.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135254718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Modeling and Teaching of Outer Magnetic Field of a Solenoid Using Smartphones 基于智能手机的电磁管外磁场数学建模与教学
The Physics Educator Pub Date : 2023-09-01 DOI: 10.1142/s2661339523500129
Mustafa Erol, Ayşenur Kara
{"title":"Mathematical Modeling and Teaching of Outer Magnetic Field of a Solenoid Using Smartphones","authors":"Mustafa Erol, Ayşenur Kara","doi":"10.1142/s2661339523500129","DOIUrl":"https://doi.org/10.1142/s2661339523500129","url":null,"abstract":"The outer magnetic field of a solenoid is commonly ignored and misinterpreted assuming that it is effectively nothing, however in reality, it assuredly exists, nevertheless, reasonably challenging to resolve and teach. Therefore, this work suggests a mathematical modeling approach for determining and teaching the outer magnetic field of a solenoid based on Biot–Savart’s law. The mathematical modeling is managed by using a smartphone embedded with an appropriate magnetic field sensor and application tool. During the performance, the solenoid’s magnetic field is basically varied by changing the current flowing through and the magnetic field is measured by means of smartphone for various distances. The theoretical resolution of the outer magnetic field is also tackled based on the Biot–Savart’s law which leads to a challenging and unknown integral. This approach provides accessibility for physics, teachers and educators to teach and internalize the outer magnetic field of a solenoid and relating Biot–Savart law in a better manner.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135254553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Free-Fall Motion and Time in General Relativity 广义相对论中的自由落体运动和时间
The Physics Educator Pub Date : 2023-06-01 DOI: 10.1142/s2661339523500063
Peter J. Riggs
{"title":"Free-Fall Motion and Time in General Relativity","authors":"Peter J. Riggs","doi":"10.1142/s2661339523500063","DOIUrl":"https://doi.org/10.1142/s2661339523500063","url":null,"abstract":"Recent attempts at explaining free-fall motion (i.e. motion only under the influence of gravity) in the context of the General Theory of Relativity have invoked a concept of time passing/progressing. Although students who have studied the Special Theory of Relativity will likely know that this concept does not feature in Special Relativity, they may incorrectly accept the concept of time passing/progressing as an aspect of General Relativity if they have encountered these accounts of free-fall motion. It is pointed out that time passing/progressing is not part of General Relativity theory and is briefly shown that free-fall motion in General Relativity is quantitatively described without such a concept.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"134 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131045437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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