Quantum Mechanics & Atomic Structure
Applied Quantum Mechanics at the Atomic Level
Limitations of the Bohr Model
While successful, the Bohr model was eventually superseded by quantum mechanics (wave mechanics). It couldn’t explain why electron orbits had specific energies or the periodicity of element properties. Experimental findings also challenged the model:
- Improved spectrographs revealed that some spectral lines were doublets.
- Spectral lines split when substances were subjected to magnetic fields.
Quantum-Mechanical Model of the
Read MorePhysics and Chemistry Basics: A Comprehensive Guide
Physics
Dynamics
Momentum and Impulse
A body of mass 14 kg with a velocity of 3 m/s applies a constant force in the same direction as the velocity for 1 second. If the body’s final velocity is 9 m/s, calculate the initial and final momentum (P0, P) and the applied force.
A) Momentum Calculation:
P0 = m * v = 14 kg * 3 m/s = 42 kg m/s
P = m * v = 14 kg * 9 m/s = 126 kg m/s
B) Impulse Calculation:
I = P – P0 = 126 kg m/s – 42 kg m/s = 84 kg m/s
I = F * t
F = I / t = 84 kg m/s / 1 s = 84 N
Newton’s Third Law
Newton’
Read MoreOptical Systems in Cameras and the Human Eye: A Comparative Analysis
Optical System: Camera vs. Human Eye
Objective/Cornea
Both the camera lens and the cornea act as positive lenses, converging light rays to a single focal point.
Zoom/Lens
The cornea, like a camera’s zoom lens, refracts light to focus on objects at varying distances.
Iris/Diaphragm
The camera’s diaphragm and the eye’s iris regulate the amount of light reaching the sensor/retina. The iris adjusts pupil size based on ambient light levels.
CCD/Retina
The CCD in a camera and the retina in the eye capture images.
Read MoreUnderstanding Measurement: A Child’s Journey in Math
Item 3. Magnitude and Extent
The Educational Challenge of Measurement
“The educational challenge will be to find teaching situations that allow meaning construction of the essential concepts of measurement, for which the student will be involved, which should provide the necessary tools to function in his life as a citizen” (Chamorro, 2003).
1. Genesis of the Idea of Size and Measure in the Child
1.1. Steps to Overcome for the Child to Start Working with Size and Measure
- Consideration and perception
Understanding Electrical Interactions: A Comprehensive Guide
Electrical Interactions
Electrical interaction is the dynamic influence that two or more bodies exert on each other.
Key Electrical Concepts
Electrical Pendulum: A small, lightweight sphere (often pith) suspended from an insulated wire, used to detect electrostatic forces.
Electroscope: A device that detects the presence and sign of an electric charge.
Electrometer: A device that measures the amount of electric charge a body possesses.
Methods of Electrification
Friction: Rubbing two different materials
Read MoreUnderstanding Motion: A Guide to Cartesian Coordinate Systems & Kinematics
Cartesian Coordinate System
Frame of Reference
A frame of reference is defined by a point in space, called an origin, and a way of locating an object relative to the origin. In a Cartesian coordinate system, the way to locate an object is based on a set of perpendicular axes that intersect at the origin. To locate an object in space, we need a frame of reference with 3 axes. This year, however, we will study movement in a plane, and 2 axes will be enough.
Position
In a Cartesian coordinate system, an
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