Pj Problems - Overview
Celestial Stars
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Painting
The wave nature of light presents the electromagnetic spectrum.
(a) What is a wave?
(b) Why are light waves electromagnetic?
(c) How is the electromagnetic spectrum scaled?
The strings:
S7P4A44 (Motion - Wave Motion).
The math:
Pj Problem of Interest is of type motion (wave-motion). The wave nature of light implies wave motion of light.
(a) A wave is a traveling disturbance that carry energy from one place to another. In other words, for a wave to occur, there must be a disturbance and the disturbance must be propagated. Disturbance is a disequilibrium from a
(b) Some waves require a medium (the matter in which the wave is moving) in which to propagate (e.g water wave). Such waves are called mechanical waves.
Some waves do not require a medium to propagate. Instead they disturb electric and magnetic fields. Such waves are called electromagnetic waves. In order words, electromagnetic waves can travel within or without a medium. The source of all electromagnetic waves is charge that is changing speed or direction. All electromagnetic waves have the same speed. Light waves are electromagnetic waves.
(c) All waves have three fundamental characteristics:
- Amplitude (greatest distance from rest to crest of a wave).
- Wavelength (distance between two consecutive similar point on a wave).
- Frequency (number of waves that pass a given point in a given amount of time usually in a second).
The various types of light waves differ in wavelengths and as a result in frequency also. The arrangement of light waves according to increasing frequency (decreasing wavelength) constitute the scaling of light. This arrangement is called the electromagnetic spectrum (figure 21.7).
Visible light is that part of the electromagnetic spectrum that the human eye can perceive naturally (i.e. unaided by technology other than normal vision lenses). In order words, the range of frequencies of visible light are within the range of frequencies the unaided human eye can perceive.
Invisible Light is that part of the electromagnetic spectrum that the human eye cannot perceive naturally (i.e. natural eyes need technological help). In order words, the range of frequencies of invisible light are not within the range of frequencies the unaided human eye can perceive.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring
Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle
Derivation Of The Area Of An Ellipse
Derivation Of Volume Of A Cylinder
Derivation Of Volume Of A Sphere
Derivation Of Volume Of A Cone
Derivation Of Volume Of A Torus
Derivation Of Volume Of A Paraboloid
Volume Obtained By Revolving The Curve y = x2 About The X Axis
Single Variable Functions
Absolute Value Functions
Conics
Real Numbers
Vector Spaces
Equation Of The Ascent Path Of An Airplane
Calculating Capacity Of A Video Adapter Board Memory
Probability Density Functions
Boolean Algebra - Logic Functions
Ordinary Differential Equations (ODEs)
Infinite Sequences And Series
Introduction To Group Theory
Advanced Calculus - Partial Derivatives
Advanced Calculus - General Charateristics Of Partial Differential Equations
Advanced Calculus - Jacobians
Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables
Advanced Calculus - Fourier Series
Advanced Calculus - Multiple Integrals
Production Schedule That Maximizes Profit Given Constraint Equation
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Fourier Series
Derivation Of Heat Equation For A One-Dimensional Heat Flow
Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Periodic Table
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
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