A) \[5000\,\overset{{}^\circ }{\mathop{\,A}}\,\]
B) \[2500\,\,\overset{{}^\circ }{\mathop{A}}\,\]
C) \[7500\,\,\overset{{}^\circ }{\mathop{A}}\,\]
D) \[8500\,\,\overset{{}^\circ }{\mathop{A}}\,\]
Correct Answer: A
Solution :
[a] a \[\sin \theta =n\lambda \] \[\frac{a\,\,x}{f}=3\,\lambda \] (since \[\theta \] is very small so \[\sin \theta \approx \tan \theta \approx \theta =x/f\]) or \[\lambda =\frac{a\,x}{3f}=\frac{0.3\times {{10}^{-3}}\times 5\times {{10}^{-3}}}{3\times 1}\] \[=5\times {{10}^{-7}}m=5000\overset{{}^\circ }{\mathop{A}}\,.\]
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