Question

What are the conditions for destructive interference ?​

Answer 1

Answer:

The basic requirement for destructive interference is that the two waves are shifted by half a wavelength. This means that the path difference for the two waves must be: R1 R2 = l /2.

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Answer 2

Explanation:

The proper way to define the conditions for having constructive or destructive interference requires knowing the distance from the observation point to the source of each of the two waves. Since there must be two waves for interference to occur, there are also two distances involved, R1 and R2. For two waves traveling in the same direction, these two distances are as follows:

When we discussed interference above, it became apparent that it was the separation between the two speakers that determined whether the interference was constructive or destructive. From this diagram, we see that the separation is given by R1 � R2. So, really, it is the difference in path length from each source to the observer that determines whether the interference is constructive or destructive. I emphasize this point, because it is true in all situations involving interference. The only difficulty lies in properly applying this concept.

With this more rigorous statement about interference, we can now right down mathematically the conditions for interference: