This paper shows how the freely downloadable software package called "SMath Studio" can be used to solve the time-independent Schrödinger equation using a simple step-wise approximation. The solution is illustrated with reference to the hydrogen atom for which trial eigenvalues are supplied by the energy level formula of the Bohr atom.

The image of free-falling bar has been recorded to study the effect of the motion on its observed length. This moving bar image is analysed using the Tracker software to determine its length and the end bar's position. An elongated appearance of the bar has been observed with movement. This effect relies on the speed and the exposure time during…

In this article, we propose a simple and accessible model of a magnetic levitator fitted with a Hall sensor. This model also allows to determine the magnitude of the magnetic field within the levitator working volume. Students can also compare the experimental magnetic field values to reference values in magnetism textbooks. This Arduino-based…

It is often necessary to enrich the teaching environment in order for students to learn optics in depth and to interpret the real optical situations with the information they have learned. In this study, a virtual teaching environment was developed using by Algodoo, a 2D simulation software. An eye model was created in order to explain the…

Using a joystick module, we followed the movement of a chaotic magnetic pendulum. The pendulum bar was attached to a joystick that served as a pivot point and biaxial angular motion sensor. Using an Arduino board, we could follow the position as a function of time along both the "x" and "y"-axis and draw a graph showing the…

Students' understanding of forces in circular motion is often incomplete. The problems are not limited to confusions about centripetal acceleration and centrifugal forces. This paper considers possible effects of different interventions by a teacher who has discovered the many types of free-body diagrams drawn by students for circular motion in a…

The oscillating atmospheric CO[subscript 2] concentrations at Mauna Loa, on the island of Hawaii, Hawaii, United States of America, are Fourier transformed in order to extract the period of oscillations. Also well-known as the Keeling curve, CO[subscript 2] concentrations (in time series) at Mauna Loa oscillate in direct association with seasonal…

This paper demonstrates how the transcendental number "e" may be arrived at by observing the discharge of a capacitor through a fixed resistor and then modelling the system using a simple step-wise procedure. The experimental phase makes use of the Arduino microcontroller, while simple modelling of the system is carried out by means of…

Huygens' principle in which every point on a propagating wave acts like a point source of radiation is a foundation principle of physics. Normally, Huygens' principle is demonstrated by passing a wave, for example a water or light wave through an aperture comparable in size to the wavelength. In this paper, an experiment is described in which a…

At the end of the 18th-century, Charles Coulomb developed an apparatus to study the force between two electrified beads which allowed him to obtain his famous Coulomb's law. Today, as one of the most fundamental outcomes in classical electromagnetism, his result is revisited in most high school physics courses, where students are asked to…

We describe a simple STEM project for students to learn to measure atmospheric pressure by using a sensor of the type BMP180 together with the Arduino electronic platform. The collected experimental data, together with simple experiments, can be used to study the different pressure units and the relationship between pressure and force. Also, they…

This paper shows how a freely downloadable and powerful software package, "SMath Studio," can be used to model physical systems in physics teaching. The software can form the basis of lecture demonstrations by teachers or can be used individually by students working in an educational environment or on their own home computers.

The ancient Greek astronomers devised ingenious methods for measuring the size and distances of the Earth, Moon and Sun. The concepts were beautifully simple and although in most cases could only yield approximate results, they have the advantage that they can be understood by anyone with a basic mathematical background. The emergence of…

We show that the gravitational acceleration g near Earth's surface can be easily determined with high accuracy by conducting the usual free fall experiment in high school or college physics laboratories. Unlike the conventional method of data analysis that uses formulas without taking air resistance into account, we consider the effect of air drag…

Many introductory astronomy courses include concepts related to basic stellar properties. In general, these are concepts that originate from the human perception of starlight. This observational aspect is not easy to incorporate in the classroom. We explore if these concepts could be developed using the built-in data in a planetarium software.…