Wavelength Example

Wavelength can be defined as the distance between the two consecutive shapes that are similar for a wave. That is for a repeating shape in the wave structure if we consider the distance between it and its first occurrence or between any two consecutive occurrences of it then the distance can be called as the wavelength. Please express your views of this topic Frequency to Wavelength by commenting on blog.

Now the next obvious question is what those shapes are or what shapes should be considered valid? For example let us consider Crests or troughs of the wave as the shapes. So the distance between two consecutive crests or any two consecutive troughs will be called as wave length.
The Symbol of the same is lambda. It is denoted by an inverted V with a head. (?). The symbol is Greek. The unit used in MKS system is meter. The distance is what we are referring here and hence the unit.
Let us talk about Wave-length Formula now. As we know that wave speed = Wavelength / period = lambda / T so Wave-length. = Wave speed * Period.

Here wave velocity (with direction) has been simplified and only its magnitude (wave speed) is considered.
What is Wave length? The answer to this question can vary with the type of the waves. But the basic formula remains the same. For some wave the speed always remains constant, however the frequency can vary when they move from one medium to another.

Is this topic Magnetism and Electricity hard for you? Watch out for my coming posts.

Formula for Wave length can also be found in the equation of wave speed. . It is the relation between the frequency of the wave and its wavelength. The speed of the wave will be expressed in meter per second. That Is in MKS system. As far as the equation is considered we have frequency expressed in Hertz and wavelength expressed in meter.

Also Lambda = 2 pi / k where k is the wave number.
We can also say that k = 2 pi / lambda = 2 pi F / v ( v = wave speed) = omega / v
Or lambda = 2 pi / k = 2 pi v / omega = v / f. This is the basic derivation for the wavelength formula.
We also have a general representation of wave wherein we can see wave length as the variable.
Y (x, t) = A cos ( 2 pi (x / lambda – ft ) ) = A cos ( 2 pi / lambda ( x – v t )
Here v = wave speed
Lambda = w. l
F = frequency
T = time period
Pi = 3.14