Optics Question 463

Question: In a double-slit experiment, instead of taking slits of equal width, one slit is made twice as wide as the other. Then in the interference pattern

Options:

A) The intensities of both the maxima and the minima increase

B) The intensity of the maxima increases and the minima has zero intensity

C) The intensity of the maxima decreases and that of the minima increases

D) The intensity of the maxima decreases and the minima has zero intensity

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ {I _{\min }}\propto {{(A _{1}-A _{2})}^{2}} $

$ {I _{\min }}\propto {{(2a-a)}^{2}} $ Clearly, the intensity of minima increases. Again, $ {I _{\max }}\propto {{(A _{1}+A _{2})}^{2}} $

$ {I _{\max }}\propto {{(2a+a)}^{2}} $ Clearly, the intensity of maxima increases.



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