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Chapter 16

Chapter 16

Waves

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A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. …
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The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be …
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Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a …
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A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which …
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All forms of waves carry energy; this is directly visualized in nature. For instance, the waves of earthquakes are so intense that they can shake huge …
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The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy. The average rate of energy transfer associated …
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When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect …
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When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at …
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When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second …
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Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a …
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A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. …
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Consider the wave equation for a sinusoidal wave moving in the positive x-direction. The wave equation is a function of both position and time. From the …
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The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The …
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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions …
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In the case of stringed instruments like the guitar, the elastic property that determines the speed of the sound produced is its linear mass density or …
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Shock waves nowadays are well known for their regenerative effects. Basic research findings showed that shock waves do cause a biological stimulus to …
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This manuscript describes an experimental procedure that allows obtaining diverse quantitative information on temporal and spatial evolution of water …
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Manipulation of fluids and particles by acoustic actuation at small scale is aiding the rapid growth of lab-on-a-chip applications. Megahertz-order …