1.

At a point on the two-slit interference pattern obtained using a source of light of wavelength 6000Å, the pathdifference is 4.2 mu m. Is the point bright or dark?

Answer»

Solution :Data: Path DIFFERENCE, `Delta= 4.2 xx 10^(-6) m, lambda = 6000 Å= 6 xx 10^(-7)`m
Let p be an integer such that `p(lambda/2)= Delta`.
`therefore p=(2Delta)/lambda = (2 xx 4.2 xx 10^(-6))/(6 xx 10^(-7)) = (8.4 xx 10)/6`
`= 84/6 = 14`
Since p is an even integer, the point MUST be BRIGHT.


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