# Wavelength Equation: Brief Explanation The distance between successive crests of a wave or higher points of electromagnetic waves is termed as wavelength. The frequency and wavelength are closely related to each other. But they are inversely proportionate to each other. The wavelength becomes shorter when the frequency is higher and the wavelength becomes longer when the frequency is lower. All the waves of light move with the same speed through a vacuum and the number of crest waves passing by a specific timeline depends on the wavelengths. The wavelength is fundamentally denoted as Lambda which is a Greek Letter (λ). The wavelength formula or the wavelength equation of a wave has been represented as the following:

(λ)=v/f

Here, “v” represents the speed of the velocity of the Waves and “f” represents the frequency of the way. The wavelength is expressed in units of meters and the velocity is expressed in meters per second. The frequency is expressed in hertz. In a graph, we can see the waves which are graphed as functions of distance or time. The wavelength can be determined from the distance graph. On the other hand, frequency and period can be obtained from a time graph. Wave speed can be obtained from both the distance and time graph. In calculating wavelength, the use of distance, speed, and time is found. Speed can be obtained by dividing the distance by time and speed can also be calculated by multiplying wavelength by frequency. Therefore, the wavelength can be calculated by dividing the distance by the product of frequency and time. Our Assignment Help Online expert will now give you the definition of wavelength.

### What is the wavelength?

Wavelength in physics is considered to be the periodic wave’s special period. The inverse or multiplicative inverse or reciprocal of the spatial frequency is the wavelength. In physics, mathematics, and engineering, special frequency is the feature of any structure which is periodic in space across the entire position. Special frequency can also be considered characteristic of a structure which is periodic through several positions in space. The spatial frequency measures the frequency of repeated movement of a structure’s sinusoidal components per unit of distance. Wavelength is generally determined by observing the distance between crests, zero crossing, and troughs which are the consecutive points of a similar phase. Wavelength is the characteristic feature of standing and travelling waves. It also depicts the patterns of the spatial wave. Greek letter Lambda (λ) is designated to wavelength. The term wavelength is applied in the domain of telecommunications and electronics where modulated waves are commonly found. Wavelength is also applied to the sinusoidal envelope of waves or modulated waves. The waves in the case of the sinusoidal envelope are developed by interferences of different sinusoids. In the domain of telecommunications and electronics, the process of varying single or multiple properties of a carrier signal is known as modulation. The carrier signal is the periodic waveform. The periodic waveform varies with modulating signal which typically provides information which is to be transmitted. If a sinusoidal wave is considered to be moving at particular wave speed, wave frequency is inversely proportional to wavelength. This means the waves which have higher frequencies would have shorter wavelengths.

On the other hand, the waves which have lower frequencies will have much longer wavelengths. The medium such as vacuum, water, or air determines wavelength. The medium through which wave travels determines the wavelength. There are several wave-like phenomena such as light, sound waves, periodic electrical signals, and water waves. A sound wave is observed in air pressure as a variation. In light, the strength of the magnetic field and the electric varies. In electromagnetic radiation, the magnetic field and electric also vary. In the case of water waves, variations are found in the height of a water body. In the case of crystal lattice vibration, the atomic positions are found to vary. Therefore, wavelength measures the distance between the repetitions which we found in peaks, zero-crossing or valley-like shapes. It does not measure the distance a particular particle moves. The spectrum is the range of frequencies or wavelengths for wave. It is commonly used concerning the electromagnetic spectrum or vibration spectrum or sound spectrum. Therefore, a wavelength can be defined as the distance between successive points in an electromagnetic wave or sound wave.

Repeated patterns which we observe in the case of travelling energy like light, sound, or light are represented by wavelengths. The distance between two similar or identical crests or peaks or high points is measured by a wavelength. The distance between two low points or troughs in a similar wave is also measured by wavelength. The wavelengths are distinctive in their formations and this formation plays a significant role in differentiating and energy from that of the other. Wavelengths are highly used in the field of technology and science. The engineers, scientists, technologies, use wavelengths to identify different energy forms in the field of aerospace, network administration, and any other domain of technology. The wavelength of light it is found to vary with colours point the wavelength of light is different for each colour. For example, the longest wavelength is found in case of red colour and the least wavelength is found in the case of violet colour. The wavelength of infrared radiation is found to be longer even then the wavelength of red colour. Frequency and wavelength are inversely proportional to each other. It means the shorter the wavelength, higher is the frequency. On the other hand, longer the wavelength, lower will be the frequency. On an electromagnetic radiation spectrum, the wavelength is indicated by the distance between the repetitions which are observed in the waves. Radio waves which we find in audio range and waves are also included in the electromagnetic radiation spectrum in a visible light range.

### How can wavelengths be measured?

It is very important to understand the way a wavelength is measured. Wavelengths are generally measured with the help of the units of meters such as centimetres, millimetres, nanometres, meters, etc. Smaller denominations are also used such as picometres, nanometres, and centimetres in measuring shorter wavelengths. The smaller denominations of meters are usually used in measuring shorter wavelengths. The shorter wavelengths which we found find in the electromagnetic spectrum are measured by the help of smaller denominations of meters. The wavelength such as x-rays, ultraviolet radiation, and gamma rays which are observed in the electromagnetic spectrum, are measured by the help of smaller denominations of meters such as picometres, nanometres, and centimetres. Optical spectrum analyzers or optical spectrometers are the instruments which are used in detecting wavelengths on an electromagnetic spectrum. The wavelength can be measured by the distance between two successive crests in the same wave. The wavelength is the distance between two crests or points in a wave. The distance between two peaks or valleys is the wavelength. in measuring wavelength, two important parameters are needed. these two parameters are frequency and wave speed. The frequency represents the number of cycles of wave passing point at a specified time. On the other hand, the speed of the waves is represented by the rate at which a wave can move through any medium and it is highly dependent on the propagation of the medium. For example, electromagnetic waves and sound waves travel through the air. The number of oscillations per unit of time in a wave is represented by the frequency of the wave. Shorter wavelengths can be observed if the frequency is higher and longer wavelengths are observed if the frequency is lower. This is because of the inverse relationship between the frequency of a wave and its wavelength. The wave speed can be calculated by multiplying the number of cycles which pass a point every second by the length of the cycle. The wave speed can be mathematically stated as the multiplication of cycle length and cycles per second. Now our experts from Online Assignment Help will tell you about the Wavelength Equation.

### Wavelength Equation

The characteristic patterns which we find in a light wave or radio wave or infrared wave have a particular length and shape. The distance between two consecutive peaks or high points in the same phase is known as a wavelength. The distance between two consecutive troughs or crests of a wave is the wavelength. Wavelength is measured in the wave’s direction. The distance from one trough or crest to the other and again from that trough or crest to another is the wavelength. The waves can be electromagnetic waves or a sound wave or even a light wave. The highest points where the trough of the wave is found to be the lowest is known as the crest. In measuring wavelength, units of lengths like centimetres, meters, nanometres, millimetres, etc. are used. Wavelength equation is also known as wavelength formula which depicts wavelength to be equal to the ratio between the speed of the waves and wave frequency. Therefore, it can be seen that a wavelength can be measured or calculated by dividing wave velocity by wave frequency. The wavelength is always represented meters. In the wavelength equation, “v” represents velocity and “f” represents frequency which is also measured in hertz or Hz.

Wavelength equation is one of the well-known methods of calculating wavelength. The wavelength of any wave can be calculated simply by dividing the speed of the wave by its frequency. The wavelength equation or wavelength formula can be written as follows:

Wavelength Equation

Wavelength =Velocity or speed of wave/Frequency

Wavelength (λ) =Wave velocity or speed of wave (V)/frequency (f)

λ = V/f

It is very important to use correct units in the wavelength equation so that the wavelength can be calculated accurately and the result can be expressed in a correct unit of measurement. Imperial and metric units can be used in representing the speed of the wave. The units such as meter per second, kilometres per hour, and miles per hour, etc. can be used in representing speed. Wavelength is generally measured in metric units such as meters, nanometres, millimetres, etc. Frequency is always expressed in hertz which implies “per second”. The equation can be used in calculating wavelength with the help of certain data or information about the speed of the wave and its frequency. The known quantities can be plugged into the wavelength equation in calculating wavelength. If the wavelength of any wave is to be calculated then the frequency and speed of the wave need to be plugged into the equation. By dividing the speed of the wave by its frequency, the wavelength can be accurately calculated and obtained. Wavelength equation can help calculate wavelength depending on the given information about velocity and frequency. If information about frequency and speed of the wave is given, by using wavelength equation the wavelength can be easily calculated. In calculating the wavelength of light, information about specific photon energy needs to be obtained. With the help of the energy equation, the wavelength of light can be calculated. It is very important to use the current formula in calculating wavelength.

For example, if a wave speed is 600m per/sec, and the wave frequency is 30waves/sec, the using wavelength equation we can calculate wavelength. The equation is the following:

Wavelength=V/f (V=speed of the wave and f=wave frequency)

Therefore, the wavelength is 20 m

Wavelength= 600/30=20m

Wavelength is the distance between two successive or consecutive crests or troughs of a similar wave. Things which can move are water, strings, air, ground-earthquake, and light. These things can move like a wave. Wavelength is the velocity or speed of a wave divided by the wave’s frequency. The wavelength equation or wavelength formula is represented as follows:

Wavelength (λ) =Wave velocity or speed of wave (V)/frequency (f)

λ = V/f

The velocity is the speed at which a wave moves in a particular direction and this velocity or the speed can be calculated by the units of meters per sec or m/sec or m/s. The frequency is the crests or troughs move through a particular point in a particular time and the formula of frequency is cycles/s or Hz. An example can be used to make wavelength equation simplified to get understood. If sound speed is almost 340m/s, the frequency of the wave is about 20.0cycles/sec, the wavelength can be calculated by using the wavelength equation in the following way:

λ = V/f

Wavelength (λ) =Wave velocity or speed of wave (V) 340m/s / frequency (f) 20.0cycles/s

Wavelength (λ)= 17.0m In this way, the wavelength can be calculated.

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