A) \[{{\sin }^{-1}}\frac{n\lambda }{d}\]
B) \[{{\cos }^{-1}}\frac{4\lambda }{d}\]
C) \[{{\tan }^{-1}}\frac{d}{4\lambda }\]
D) \[{{\cos }^{-1}}\frac{\lambda }{4d}\]
Correct Answer: B
Solution :
Here path difference at a point \[P\] on the circle is given by \[\Delta x=d\cos \theta \] ?.. (i) For maxima at \[P\] \[\Delta x=n\lambda \] ?.. (ii) From equation (i) and (ii) \[n\lambda =d\cos \theta \Rightarrow \theta {{\cos }^{-1}}\left( \frac{n\lambda }{d} \right)={{\cos }^{-1}}\left( \frac{4\lambda }{d} \right)\]You need to login to perform this action.
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