What is a wave packet? Explain using a necessary diagram.

(N/A) resultant wave obtained by the superposition of waves of different wavelengths is called a wave packet.
The matter wave associated with an electron is not extended in infinite space. It is a wave packet extended about a central wavelength.
In this condition,$\Delta x$ is not infinite but has a definite value which depends on the range of the wave packet.
Also,a wave packet does not have a definite wavelength but is made up of a number of wavelengths around a central wavelength.
With the description of a wave packet using the de-Broglie relation and Born's probability interpretation,one can reproduce Heisenberg's uncertainty principle exactly.
Figure $(a)$ shows a schematic diagram of a wave packet,and figure $(b)$ shows an extended wave with a fixed wavelength.