Question

Two waves travelling towards each other and meet at the same time, Identify the shape of the rope after the interference?

Answer 1

Hint: In this question we will use the basic information that the superposition of two or waves is given by adding or subtracting the wave’s frequency, depending upon its direction of propagation and amplitude. Now, using this relation will help to find out the wave pattern produced by the superposition of the two waves

Complete step-by-step answer:
As we know, when the crest of one wave and the trough of another wave, which have the same amplitude interfere with each other, then the amplitude of the resultant wave, formed by superimposition of the two waves is zero.

Therefore, there will be no amplitude of the resultant wave and the wave will be like a straight line, as shown in the above figure.

Additional Information: Waves involve the transfer of energy without the transfer of the matter. So, it can be said that waves can be described as a disturbance that travels through a medium, transporting energy from one location to another location without transfer of matter.
Further, the frequency is defined as the number of waves that pass a fixed point in unit time. It can also be defined as the number of cycles or vibrations undergone during one unit of time.
Also, two waves are said to be coherent if they are moving with the same frequency and have constant phase difference.
The summation or adding or subtraction of all the waves travelling in a particular medium, gives us the superposition of waves. If the direction or amplitude of the waves are opposite then the superposition of waves are calculated by subtracting the waves, whereas if the two waves are travelling in the same direction or have the same amplitude the resultant is given by adding up the two or more waves.
The S.I unit of frequency is Hertz or Hz and the unit of wavelength is meter or m. Furthermore we also know the S.I unit of time which is given by second or s.

Note: Superposition is calculated for two or more waves. The direction or amplitude of these waves will help in finding the resulting wave or the superposition of waves. A wave which has the same amplitude but opposite orientation will cancel out each other and thereby give zero output.