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Question

In Young's double slit experiment, if the two slits are illuminated with separate sources, no interference pattern is observed because

A
there will be no constant phase difference between the two waves
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B
the wavelengths are not equal
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C
the amplitudes are not equal
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D
none of the above
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Solution

The correct option is A there will be no constant phase difference between the two waves
In conventional light source, light comes from a large number of individual atoms, each atoms emitting light for about 109 seconds i.e. light emitted by an atom is essentially a pulse lasting for only 109 seconds. Light coming out of the two slits will have a fixed phase relationship only for 109 seconds. Hence any interference pattern formed on the screen would last for only 109 seconds, then the pattern will change. The human eye can notice intensity changes which last at least for a tenth of a second and hence we will not be able to see any interference pattern. Instead due to rapid changes in the pattern, we will only observe an uniform intensity over the screen.

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