A) I1 + I2
B) \[I_{1}^{2}+I_{2}^{2}\]
C) (I1 + I2)2
D) \[{{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}\]
Correct Answer: D
Solution :
Resultant intensity \[{{I}_{R}}={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\,\cos \varphi \] For maximum \[{{I}_{R}},\] \[\varphi ={{0}^{o}}\] Þ \[{{I}_{R}}={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}={{\left( \sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}} \right)}^{2}}\]
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