## Two wave pulses travel in opposite directions on a string and

A standing wave, also known as a stationary wave, is a wave that oscillates in time but does not travel in space due to its peak amplitude profile. The wave oscillations’ peak amplitude is constant with time at any point in space, and the oscillations at different points in the wave are in phase. Nodes are the locations where the absolute value of the amplitude is lowest, and antinodes are the locations where the absolute value of the amplitude is highest.
Michael Faraday was the first to note standing waves in 1831. Standing waves on the surface of a liquid in a vibrating jar were observed by Faraday. 1st [two] About 1860, Franz Melde coined the word “standing wave” (German: stehende Welle or Stehwelle) and illustrated the phenomenon with vibrating strings in his classic experiment. [three] [4][5][6][7][8][9][ [number six]
This effect can occur in a stationary medium as a result of interference between two waves traveling in opposite directions, or it can occur when the medium moves in the opposite direction of the wave. Standing waves are most often caused by resonance, which occurs within a resonator as a result of interference between waves reflected back and forth at the resonator’s resonant frequency.

## Two triangular wave pulses are travelling toward each other

We’ve been researching mechanical waves that propagate continuously through a medium up to this stage, but we haven’t addressed what happens when waves hit the medium’s boundary or collide with another wave propagating through the same medium. Waves communicate with the medium’s boundaries, and some or more of the wave may be mirrored. When you scream from a distance away from a rigid cliff face, the sound waves will reverberate off the rigid surface like an echo. Waves may communicate with each other as they travel through the same medium. When two rocks are thrown into a pond at a distance from one another, the circular ripples created by the two stones appear to move through each other as they spread outward from the point where the stones were thrown into the water. Interference is the term for this phenomenon. In this part, we’ll look at what happens when waves collide with a medium’s boundary or another wave propagating in the same medium. We’ll see that their behavior varies significantly from that of particles and rigid bodies. Later, while researching modern physics, we will learn that the properties of waves and particles are only identical at the atomic scale.

### Two triangular wave pulses are travelling toward each other

As shown in the figure, two pulses in a stretched string, whose centers are initially 8 cm apart, are moving towards each other. Each pulse travels at a rate of 2 cm/s. The cumulative energy of the pulses will be calculated after 2 seconds.
Solution: Both pulses will pass 4 cm towards each other after two seconds. As a consequence of their superposition, the displacement at each point would be zero. As a result, total energy can only be in the form of kinetic energy. Half of the particles will be heading upwards, and the other half will be moving downwards.
8. In the figure, two pulses in a stretched string, whose centers are initially 8 cm apart, are moving towards each other. Each pulse travels at a rate of 2 cm/s. The cumulative energy of the pulses will be 6 after 2 seconds. A stop clock connects two cylinders A and B of equal power to each other. At normal temperature and pressure, A contains an ideal gas. B has been absolutely emptied. The whole structure is shielded from the elements. The stop cock is opened unexpectedly. The procedure is as follows:

### The diagram below shows two pulses traveling towards each

Despite the fact that the waves clash as they meet, they go on their way as if they had never met before. As the waves travel away from the point where they collided, their shape and motion are the same as they were before they collided.
When two waves collide and are in phase with each other, constructive interference occurs. This implies that their oscillations at a given point are in the same direction, resulting in a much greater amplitude at that point than an individual wave’s amplitude. The combined amplitude of two waves of equal amplitude interfering constructively is twice as high as the amplitude of each individual wave. The amplitude of 100 waves of the same amplitude interfering constructively is 100 times greater than the amplitude of a single wave. As a consequence, constructive interference will result in a substantial increase in amplitude.
When waves interact constructively, all of the peaks line up with the peaks, and all of the troughs line up with the troughs.