Shown above right are four different pairs of transverse wave pulses that move toward each other. At some point in time, the pulses meet and interact (interfere) with each other. Rank the four cases, from most to least, on the basis of the height of the peak that results when the centers of the pulses coincide.
Solution 2R Step 1 of 1: When two or more waves come together, they undergo Interference. Depending on how the troughs and crests of the waves are matched up; the resultant wave will be formed due to phenomenon called superposition. According to the principle of linear superposition, when two or more waves come together or superimpose on each other, the resultant wave will be the sum of the individual waves. This principle of superposition can be applied for the two waves, when they are travelling through same medium at the same time. When two waves pass through each other without being disturbed, the net displacement at any point in space , will be simply the sum of the individual wave displacements. Step 2 of 2: Constructive interference occurs whenever waves come together so that they are in phase with each other. This means that their oscillations at a given point are in the same direction, the resulting amplitude at that point being much larger than the amplitude of an individual wave. Here in the given problem, constructive interference happens in case of A and B. But the amplitude of A will be greater than B, as in case of option A; individual waves have larger amplitude. That is A > B in terms of amplitude of resultant wave Destructive interference occurs when waves come together in such a way that they completely cancel each other out. When two waves interfere destructively, they must have the same amplitude in opposite directions. The net resultant, is that they all combine in some way to produce zero amplitude. Waves in option C will undergo destructive interference resulting in the net amplitude of the resultant wave has zero. Similarly in case of waves in option D, they will undergo destructive interference.As both waves does not have equal amplitude, the net amplitude of resultant wave will be finite negative value.