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Waves & Energy Transfer
Chapter 14
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14.1 Wave Properties Energy can be transferred by particles or by waves. Types of Waves - Mechanical, Electromagnetic, & Matter Mechanical waves require medium to travel, such as air, water, & springs or ropes.
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EM waves do not require medium.
Ex: light waves, radio waves & x-rays. They all travel at speed of light (c). Matter waves involve electrons & other particles that demonstrate wave like properties under certain conditions.
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Will be studied under Quantum Mechanics.
Three types of mechanical waves. Transverse - particles vibrate perpendicularly to direction of motion of wave. Longitudinal - particles travel in direction of wave. Surface - mixture of transverse & longitudinal.
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Transverse waves do not travel through earth’s center, which indicates center is fluid.
Wave pulse - a single disturbance travels through medium. Wave train or traveling wave - a series of pulses at regular interval.
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Two Types of Waves
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Measuring a Wave Period, - time required for motion to repeat itself. Frequency, f - number of complete vibrations per second. f = 1 / Wavelength, - distance from crest to crest or trough to trough.
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Crests - high points of wave
Trough - low points of wave When time interval is one period, wave would move a distance of 1 wavelength. Velocity - given by v = / T or v = f Amplitude - maximum displacement from rest or equilibrium position.
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Speed of sound in air depends on temperature.
Speed of light is always constant. 3.00E8 m/s = c Ex. Prob 333 Prac Prob 335
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14.2 Wave Behavior -Boundaries
When wave reaches boundary of media, it may be reflected or pass. Speed & change when wave enters new medium. Fig Junction of two springs is a boundary between two media.
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A pulse reaching boundary (a) is partially reflected & partially transmitted. (free)
Fig A pulse is shown as it approaches a rigid wall (a) & as it is reflected from wall (b). Notice amplitude is almost same but reflected pulse is inverted.
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When medium changes, wave energy is both reflected & transmitted.
Waves passing from one medium to another have same f. The change depends on v change so that f = v/ is constant. Prac Prob 337
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Wave Boundaries Less to More More to less
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Superposition of Waves
Principle of superposition - displacement of a medium caused by two or more waves is algebraic sum of displacements caused by individual waves. Interference - result of superposition.
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Destructive interference occurs when crest meets trough.
Resultant wave is smaller. Fig 14-11a 338 Constructive interference occurs when waves meet crest to crest or trough to trough. Resultant wave is larger. Fig 14-11b 338
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If waves are opposite & equal magnitude, result is 0.
Fig 14-11c 338 Continuous waves – from a region of higher speed to one with lower speed. Fig
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Standing Waves Node - pt that is undisturbed.
Medium is not displaced as waves pass. Antinode - pt of max displacement. Standing wave has stationary nodes & antinodes. It is result of identical waves traveling in opposite directions. Fig
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Waves in Two Dimensions
Law of reflection - angle at which a wave approaches a barrier is equal to angle at which it is reflected. Fig Normal - to barrier. Angle of incidence - angle between incident ray & normal.
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Angle of reflection - angle between normal & reflected ray.
Refraction - change of wave direction at boundary between two media. Fig Diffraction bending of waves around barrier. Fig & Fig
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Bibliography Physics: Principles and Problems, Glencoe Digital Curriculum
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Longitudinal or Compression
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Light Propagation
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Wavelength
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Fixed Boundary
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Free End
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Interference
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Less to More Dense
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Longitudinal
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Transverse
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Surface Waves or Water Waves
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Destructive & Constructive
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Nodes & Antinodes
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Standing Wave
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Diffraction
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