Pj Problems - Overview
The Number Line
7 Spaces Of Interest - Overview
Triadic Unit Mesh
States Of Matter
COHN - Natures Engineering Of The Human Body
The Human-Body Systems
Faith, Love, Charity
The ray model of light is an established simple assumption about the motion of light in the macro-realm (non-quantum realm). The ray model of light assumes that light travels in straight-line paths; light rays from luminous objects spread out in all directions and an image is formed when the light rays leaving the object from the same point meet. The ray model of light does not disrupt the particle-wave nature of light.
(a) Prove the law of reflection of light which states that the angle of incidence of a ray of light is equal to the angle of reflection.
(b) Indicate the position of the mirror image of a point O (figure 21.1) which is in front of a plane mirror.
S7P4A41 (Motion - Linear).
Pj Problem of Interest is of type motion (linear). The ray model of light implies linear motion of light.
(a) Consider figure 21.1. OM is the light ray, KQ the reflecting surface, MO' the reflected ray and PM is a the normal to KQ.
Construct PO' such that PO' is parallel and equal to MO. Construct OP such that OP is parallel and equal to MO'.
So, OMO'P is a parallelogram and PM one of its diagonal.
So, <1 = <2 (bisection of angle by diagonal)
So, <4 = <3. since PM is perpendicular to KQ.
Generally, <4 is considered to be the angle of incidence of the light ray OM while < 3 is considered to be the angle of reflection of the reflected ray. Some choose <1 as the angle of incidence and <2 as the angle of reflection. No difference. It depends on the reference line (normal or horizontal).
So, angle of incidence = angle of reflection. Euclid is credited with the discovery of this law of reflection of light.
(b) The mirror image of O is on a perpendicular from O to the mirror KQ and as far behind the mirror as O is in front (figure 21.1).
So, the image of O is at N, where OL = LN.
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
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
Derivation Of Heat Equation For A One-Dimensional Heat Flow
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.
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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