Waves and oscillations permeate virtually every field of current physics research, are central to chemistry, and are essential to much of engineering. Furthermore, the concepts and mathematical techniques used for serious study of waves and oscillations form the foundation for quantum mechanics.
Oscillations are the back and forth movement of any object, for instance, pendulum. Whereas waves are defined as a disturbance that travels through a medium, transporting energy from one location to another without transporting matter. This post will help you understand the basic concepts of oscillations and waves from waves and oscillations, a prelude to the quantum mechanics solutions manual.
Let us think of energy as we divert our attention to the waves. Suppose you throw a pebble and add energy to the pond. The pebble disrupts the pond's surface, and the energy is carried away by the pebbles - the sources of the turbulence - into the water. Consider a single water molecule from where the pebble landed. As the wave passes through the water molecule, the atom is pushed up (receives potential energy), then downwards. It passes through the point of maximum kinetic energy and regains potential energy as it is pushed to the lower surface over the rest of the surface.
These are the general characteristics of travel waves: they have energy, and when they pass through a medium, they pass through every point in it SHM (Simple harmonic motion). When you tie a guitar string, you send a wave to the guitar string. When the front edge of the sound wave reaches the tuner, where the guitar string is fixed to the guitar's neck and cannot vibrate, the wave closes this fixed point and begins to move back towards your fingers. However, it meets part of the wave, still forming the guitar neck. At some places, this wave and its reflection interfere constructively, and in some places, they interfere destructively;
The result is what we call the standing wave. The standing wave is maintained - i.e., the waves reflect and interfere with the boundaries at each end of the string - until all initial energy inputs decompose into thermal or other forms of energy. (It is important to note that standing waves do not have to be in the string - for example, it is also possible to establish a standing sound wave in the air between two boundaries).
We refer to complete destructive interference points - the string does not move at all - as nodes. For maximum structural interference - the string in each cycle Maximum displacement from - as antinodes. For a given wave velocity and boundary separation distance, only a few permanent wave shapes (exactly, wavelengths - we will discuss this a bit below) are allowed. We refer to these allowed states as modes. The mode number of the standing wave meter is proportional to the number of antennas in that wave.
Applications
Oscillations are applied in various audio systems and video systems. TV and other communication devices based on oscillation principles. It is also used in computers, metal detectors, stun guns, inverters, ultrasonic and radio frequency applications. On the other hand, communication devices function on waves principles to carry the message.
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