write necessary conditions for interferenec
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Conditions for interference
When waves come together they can interfere constructively or destructively. To set up a stable and clear interference pattern, two conditions must be met:
The sources of the waves must be coherent, which means they emit identical waves with a constant phase difference.
The waves should be monochromatic - they should be of a single wavelength.
Let's say we have two sources sending out identical waves in phase. Whether constructive or destructive interference occurs at a point near the sources depends on the path-length difference, d, which is the distance from the point to one source minus the distance from the point to the other source.
Condition for constructive interference: d = ml, where m is any integer.
Condition for destructive interference: d = (m + 1/2) l
The first person to observe the interference of light was Thomas Young in 1801. He used sunlight passing through two closely spaced slits. It was a difficult experiment since his source was not even close to being monochromatic, but Young's double-slit experiment provided the first indisputable evidence of light acting as a wave.
Note that you can't use two light sources (two lasers, two light bulbs, two candles, etc.) because they each experience random changes in phase about once every 10-8 s.
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