Intensity observed in an interference pattern is \[I={{I}_{0}}Si{{n}^{2}}\]. \[At\theta ={{30}^{o}}\] intensity \[I=5\pm 0.0020W/{{m}^{2}}\]. Find percentage error in angle if \[{{I}_{0}}=20W/{{m}^{2}}\]

• A. \[\frac{4}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
• B. \[\frac{2}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
• C. \[\frac{1}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
• D. \[\frac{3}{\pi }\sqrt{3}\times {{10}^{-2}}%\]