A) \[{{10}^{-7}}\]
B) \[{{10}^{-10}}\]
C) \[{{10}^{-9}}m\]
D) \[{{10}^{-8}}m\]
Correct Answer: A
Solution :
[a] The optical path difference needed for destructive interference is \[2\mu d=(2n+1)\frac{\lambda }{2}\], n-0, 1, 2, ?.. Note that 2nd is the total optical path length that the rays traverse when n=0. \[\therefore \,\,\,d=\frac{\lambda /2}{2\mu }=\frac{\lambda }{4\mu }=\frac{350\times {{10}^{-9}}}{4\times 1.38}\] \[=100nm=1\times {{10}^{-7}}m\]
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