A) \[y=\frac{D}{10}\]
B) \[y=\frac{D}{3}\]
C) \[y=\frac{4}{5}D\]
D) \[y=\frac{4D}{3}\]
Correct Answer: D
Solution :
[d] For maxima \[d\,\sin \,\theta =n\lambda \] \[sin\theta =\frac{n\lambda }{d}=\frac{8\lambda }{10\lambda }\Rightarrow \sin \theta =\frac{4}{5}\Rightarrow \tan \theta =\frac{4}{3}\] Also \[\tan \theta =\frac{y}{D}\] \[\therefore \,\,\,y=\frac{4D}{3}\]
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