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Waves Topic 4.4 Wave characteristics
WAVES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Travelling Wave Characteristics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Travelling Wave Characteristics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Travelling Wave Characteristics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Transverse Waves ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Transverse Wave Direction of travel of the wave Direction of oscillation of the particles
Transverse Waves ,[object Object],[object Object],[object Object],[object Object]
Transverse Waves Transverse Wave
Longitudinal ,[object Object],[object Object]
Longitudinal Waves ,[object Object],[object Object],[object Object],[object Object],[object Object]
Longitudinal Waves ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Longitudinal Waves ,[object Object],[object Object],[object Object]
Longitudinal Wave Direction of travel of the wave Direction of oscillations of the particles
Definitions ,[object Object],[object Object],[object Object]
What is a Wave? ,[object Object]
The Medium ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object]
Displacement ,[object Object],[object Object]
Crest ,[object Object],[object Object],[object Object]
Trough ,[object Object],[object Object]
Compression ,[object Object],[object Object],[object Object]
Rarefaction ,[object Object],[object Object],[object Object]
 
Defining Terms
Defining Terms
Defining Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Defining Terms
Amplitude ,[object Object],[object Object],[object Object]
Defining Terms
Period ,[object Object],[object Object],[object Object]
Frequency ,[object Object],[object Object],[object Object],[object Object]
Defining Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Eg ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Eg 1 ,[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Eg 2 ,[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object]
Eg 3 ,[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Eg 4 ,[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Eg 5 ,[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part (b) v  = 330 m s -1 f  = 20 000 Hz    = ? v  =  f     = 330/20 000    = 0.0165 m    = 1.65 x 10 -2  m
[object Object],[object Object],Periodicity
[object Object],[object Object],[object Object]
Displacement / Distance p displacement distance
[object Object],[object Object]
[object Object],[object Object],[object Object]
Displacement / Time displacement of point p from equilibrium position time
[object Object],[object Object]
[object Object],[object Object]
Graphical Representation of Waves   ,[object Object],[object Object]
Graphical Representation of Waves
Graphical Representation of Waves   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Graphical Representation of Waves ,[object Object],[object Object],[object Object],[object Object],[object Object]
Graphical Representation of Waves ,[object Object],[object Object],[object Object],[object Object]
Graphical Representation of Waves ,[object Object],[object Object],[object Object]
Graphical Representation of Waves
Graphical Representation of Waves   ,[object Object],[object Object]
Graphical Representation of Waves   ,[object Object],[object Object],[object Object]
Wavefront ,[object Object],[object Object],[object Object]
Wavelength again! ,[object Object]
Deriving v = f   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
2 Important Points ,[object Object],[object Object]
[object Object],[object Object],[object Object]
Electromagnetic Waves ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Electromagnetic Waves ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Electromagnetic Waves
Electromagnetic Waves ,[object Object],[object Object],[object Object],[object Object]
Electromagnetic Waves ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The EM Spectrum Itself Short   Long   High f Low f V I S I B L E Radio Waves Micro Waves Infra red Gamma rays Ultra Violet X rays
Frequencies of Regions (Hz) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Sources of Regions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Different Regions ,[object Object],[object Object],[object Object],[object Object],[object Object]
Discrete Pulses and Continuous Waves ,[object Object],[object Object],[object Object]
 
Reflections in one Dimension ,[object Object],[object Object],[object Object]
Reflections in one Dimension ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflections in one Dimension Reflection from a boundary
Reflection From a Fixed End
Reflections in one Dimension ,[object Object],[object Object],[object Object]
Reflections in one Dimension ,[object Object],[object Object],[object Object]
Reflections in one Dimension ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection From a Free End
Reflections in one Dimension ,[object Object],[object Object],[object Object]
Reflections in one Dimension ,[object Object],[object Object],[object Object],[object Object],Reflection from a boundary
Reflections in one Dimension
Partial Reflection from a Heavier Spring
Reflections in one Dimension ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflections in one Dimension ,[object Object],[object Object],[object Object]
Partial Reflection From a Lighter Spring
Reflections in one Dimension ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle   ,[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle ,[object Object]
Huygen’s Principle ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle ,[object Object],[object Object],[object Object]
Huygen’s Principle Defined ,[object Object],[object Object]
Huygen’s Principle Explained ,[object Object],[object Object]
Huygen’s Principle Explained ,[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle Explained ,[object Object],[object Object],[object Object]
Huygen’s Principle Explained ,[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle Explained ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle Explained
Huygen’s Principle Explained
Reflections in Two Dimensions ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflections in Two Dimensions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Reflections in Two Dimensions ,[object Object],[object Object],[object Object],[object Object]
Reflections in Two Dimensions
Reflections in Two Dimensions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Reflection of light
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection ,[object Object],[object Object],[object Object],[object Object]
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection
Reflection ,[object Object],[object Object],[object Object],[object Object]
Reflection
Reflection
Reflection ,[object Object],[object Object]
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection Reflection of Light
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection ,[object Object],[object Object],[object Object],[object Object]
Reflection
Reflection ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reflection
Refraction of Waves in 1 & 2 Dimensions   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction of Waves in 1 & 2 Dimensions   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction of Waves in 1 & 2 Dimensions
Refraction of Waves in 1 & 2 Dimensions
Refraction of Waves in 1 & 2 Dimensions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction of Waves in 1 & 2 Dimensions
Refraction of Waves in 1 & 2 Dimensions ,[object Object]
Refraction of Waves in 1 & 2 Dimensions ,[object Object],[object Object],[object Object]
Refraction of Waves in 1 & 2 Dimensions ,[object Object],[object Object],[object Object],[object Object]
Refraction of Waves in 1 & 2 Dimensions
Refraction of Waves in 1 & 2 Dimensions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle and Reflection ,[object Object],[object Object],[object Object],[object Object]
Huygen’s Principle and Reflection
Huygen’s Principle and Reflection
Huygen’s Principle and Reflection
Huygen’s Principle and Reflection
Huygen’s Principle and Reflection
Refraction & Huygen’s Principal   ,[object Object],[object Object],[object Object],[object Object]
Refraction & Huygen’s Principal
Refraction & Huygen’s Principal ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction & Huygen’s Principal ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction & Huygen’s Principal ,[object Object],[object Object],[object Object],[object Object]
Refraction & Huygen’s Principal ,[object Object],[object Object],[object Object],[object Object],[object Object]
Deriving Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Deriving Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Deriving Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Deriving Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Deriving Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Deriving Snell’s Law ,[object Object]
Snell’s Law ,[object Object]
Snell’s Law
Snell’s Law ,[object Object],[object Object]
Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 5 ,[object Object],[object Object],[object Object]
Solution
Solution (a) ,[object Object],[object Object]
Solution (a) ,[object Object],sin  R = sin  R = R  = 19.5 o R =  20 o  (2 sig digits)
Solution (b)
Solution (b) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Snell’s Law
Snell’s Law ,[object Object],[object Object],[object Object],[object Object],[object Object]
Snell’s Law ,[object Object]
Example 6 ,[object Object],[object Object]
Solution (a) ,[object Object],[object Object]
Snell’s Law ,[object Object]
Solution (b)
Snell’s Law (b) ,[object Object],[object Object],[object Object],[object Object]
Snell’s Law (b) ,[object Object]
Refraction ,[object Object],[object Object],[object Object]
Refraction ,[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction ,[object Object],[object Object],[object Object]
Refraction ,[object Object],[object Object],[object Object],[object Object]
Refraction
Refraction ,[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction ,[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Refraction
Refraction ,[object Object],[object Object],[object Object]
Refraction ,[object Object],[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light.
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light.
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object]
Diffraction of Water, Sound & Light. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
What Happens When Two Waves Meet?  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
What Happens When Two Waves Meet? Superposition
What Happens When Two Waves Meet? ,[object Object],[object Object],[object Object]
What Happens When Two Waves Meet? ,[object Object],[object Object],[object Object],[object Object],[object Object]
What Happens When Two Waves Meet? ,[object Object],[object Object],[object Object]
What Happens When Two Waves Meet? ,[object Object],[object Object],[object Object],[object Object]
Standing Waves in 1 Dimension ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Standing Waves in 1 Dimension ,[object Object],[object Object],[object Object],[object Object],[object Object]
Standing Waves in 1 Dimension ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Standing Waves in 1 Dimension ,[object Object],[object Object],[object Object]
Standing Waves in 1 Dimension
Standing Waves in 1 Dimension
Standing Waves in 1 Dimension
Standing Waves in 1 Dimension
Standing Waves in 1 Dimension
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object]
Criteria for Interference in 2 D
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D ,[object Object],[object Object],[object Object],[object Object],[object Object]
Criteria for Interference in 2 D Phase relationship Annulment Reinforcement in phase G.P.D. = (2m+1)   /2 G.P.D. = m  phase reversal of one wave G.P.D. = m  G.P.D. = (2m+1)   /2 phase reversal of both waves G.P.D. = (2m+1)   /2 G.P.D. = m 

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Waves