A) \[{{\sin }^{-1}}(0.33\times {{10}^{8}})\]
B) \[{{\sin }^{-1}}(0.33\times {{10}^{-6}})\]
C) \[{{\sin }^{-1}}(3\times {{10}^{-8}})\]
D) \[{{\sin }^{-1}}(3\times {{10}^{-6}})\]
Correct Answer: D
Solution :
Using relation, \[d\sin \theta =n\lambda \Rightarrow \sin \theta =\frac{n\lambda }{d}\] For n = 3, \[\sin \theta =\frac{3\lambda }{d}=\frac{3\times 589\times {{10}^{-9}}}{0.589}\] \[=3\times {{10}^{-6}}\]or \[\theta ={{\sin }^{-1}}(3\times {{10}^{-6}})\]
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