Question

What is meant by 'Phase of a Particle' in a wave?

Answer 1

Hint:The phase of a sound wave is an essential feature. The location or timing of a point inside a wave cycle of a repeating waveform is defined by phase. The phase difference between sound waves, rather than the absolute phases of the signals, is usually what matters. When two sound waves are combined, for example, the phase difference between the two waves is crucial in defining the waveform that results.

Complete answer:
The phase of a particle at any given time indicates the particle's current state of vibration. Because phase represents the particle's relative location to the origin, it may also be used to determine the particle's direction of travel at any given moment. The phase of two waveforms, generally of the same nominal frequency, is compared in phase comparison.

A phase comparison in time and frequency is used to determine the frequency offset (difference between signal cycles) with regard to a reference. Connecting two signals to a two-channel oscilloscope allows for a phase comparison. Two sine signals will be shown on the oscilloscope, as illustrated in the picture to the right. The top sine signal in the next picture is the test frequency, whereas the bottom sine signal is a signal from the reference.

The phase connection between the two frequencies would not change if they were precisely the same, and both would seem to be stationary on the oscilloscope display. The reference seems to be fixed while the test signal moves because the two frequencies are not precisely the same. The offset between frequencies can be measured by measuring the rate of motion of the test signal.

Note:Rather than being stated as a fraction of a wave cycle, a phase difference is usually written as an angle. Because the waveform of a pure tone consisting of a single frequency can be represented using the trigonometric sine function (which is why it is termed a "sine wave"), the phase difference may be expressed as an angle: \[y(t){\text{ }} = {\text{ }}A{\text{ }}sin(2{\text{ }}\pi \;f{\text{ }}t)\]