A) 3500\[\overset{\bullet }{\mathop{A}}\,\]
B) 4200 \[\overset{\bullet }{\mathop{A}}\,\]
C) 4700 \[\overset{\bullet }{\mathop{A}}\,\]
D) 6000 \[\overset{\bullet }{\mathop{A}}\,\]
Correct Answer: B
Solution :
\[d\sin \theta =n\lambda \] \[n=1,\]we have \[d\sin \theta =\lambda \] If angle is small, then \[\sin \theta =\theta \] \[d\theta =\lambda \] Half angular width \[\theta =\frac{\lambda }{d}\] Full angular width \[2\theta =\frac{\lambda }{d}\] \[\omega '=\frac{2\lambda }{d}\] \[\frac{\lambda '}{\lambda }=\frac{\omega '}{\omega }\Rightarrow \lambda '=\lambda \frac{\omega '}{\omega }\] \[\lambda '=6000\times 0.7=4200\,\overset{\circ }{\mathop{A}}\,\]
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