A) \[3250\,\,\overset{{}^\circ }{\mathop{A}}\,\]
B) \[6.5\times {{10}^{-4}}\,cm\]
C) \[1.3\,\,micron\]
D) \[2.6\times {{10}^{-4}}\,cm\]
Correct Answer: C
Solution :
\[\sin \,\theta \,\,=\,\,\frac{n\lambda }{a},\,\,for\,\,n\,\,=\,\,1,\,\,\sin \,\theta \,\,=\,\,\frac{\lambda }{a}\,\,\] \[\therefore \,\,a=\frac{\lambda }{\sin \,\theta }\,\,=\,\,\frac{6500\times {{10}^{-10}}}{\sin \,30{}^\circ }\] \[a\,\,=\,\,13000\times {{10}^{\text{-10}}}\,m\] \[a=1.3\times {{10}^{-6}}\,m\] \[a\text{ }=\text{ }1.3\text{ }micron\]
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