A) \[\frac{{{D}^{2}}}{2d}\]
B) \[\frac{{{d}^{2}}}{2D}\]
C) \[\frac{{{D}^{2}}}{d}\]
D) \[\frac{{{d}^{2}}}{D}\]
Correct Answer: D
Solution :
We have the Youngs double slit experiment given by From the question, we see that the distance between the slits is equal to d and the distance between the slit and screen is equal to D. Hence for the nth dark fringe, we have \[(2n-1)\frac{D\lambda }{2d}=\frac{d}{2}\] Hence, we get \[\lambda =\frac{{{d}^{2}}}{(2n-1)D}=\frac{{{d}^{2}}}{D}\]for \[n=1.\]You need to login to perform this action.
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