A) \[{{\sin }^{-1}}\left( \frac{1}{4} \right)\]
B) \[{{\sin }^{-1}}\left( \frac{2}{3} \right)\]
C) \[{{\sin }^{-1}}\left( \frac{1}{2} \right)\]
D) \[{{\sin }^{-1}}\left( \frac{3}{4} \right)\]
Correct Answer: D
Solution :
For first minima, \[\sin {{30}^{o}}=\frac{\lambda }{a}=\frac{1}{2}\] First secondary maxima will be at \[\sin \theta =\frac{3\lambda }{2a}=\frac{3}{2}\left( \frac{1}{2} \right)\Rightarrow \theta ={{\sin }^{-1}}\left( \frac{3}{4} \right)\]You need to login to perform this action.
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