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# Properties of Waves

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 Sub Topics A wave is a different concept when we compared with the particle. The propagation is also different in both cases. Waves can transfer energy without transferring the matter through a medium. In a wave motion, a medium is required; it can be solid, liquid or gas. A common example of wave is ripples on the water surface. The different properties of a wave are listed below: AmplitudeWavelengthFrequencyPeriodSpeedThe details about each one is described in detail.

## Amplitude of a Wave

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Amplitude of a wave is explained as the maximum displacement or distance of a wave from its equilibrium position. It is measured in meters. The figure illustrates the amplitude of a wave.

## Wavelength of a Wave

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Wavelength is an important basic property of a wave. It is given by the distance between the peaks of two crests. A wave consists of crest and trough. The upper part is a crest whereas the lower part is trough. Wavelength is denoted as $\lambda$ and is measured in meter. The given figure gives a clear picture about wavelength of a wave.

## Frequency of a Wave

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Frequency of a wave is given as the number of complete cycle per second. If T is the time period for one complete cycle, then the frequency is given by,

f = $\frac{1}{T}$
Frequency is denoted as f or $\nu$ and it is measured in Hz.

## Period of a Wave

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It is given as the time required to complete one cycle or the time required to complete one oscillation. It is denoted by T. From the above formula, T can be calculated as,

T = $\frac{1}{f}$
Period is measured in seconds.

## Speed of a Wave

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Speed (velocity) of a wave is given by the distance traveled in one second. It is expressed in terms of frequency or period and wavelength. The equation is given by,
v = $\frac{\lambda }{T}$

Here, the distance traveled is nothing but the wavelength
or,
v = f$\lambda$