A) \[2({{I}_{1}}+{{I}_{2}})\]
B) \[{{I}_{1}}+{{I}_{2}}\]
C) \[{{(\sqrt{{{I}_{1}}}+\sqrt{{{I}_{2}}})}^{2}}\]
D) \[{{(\sqrt{{{I}_{1}}}-\sqrt{{{I}_{2}}})}^{2}}\]
Correct Answer: A
Solution :
Maximum intensity \[{{I}_{\max }}={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\] Minimum intensity \[{{I}_{\min }}={{I}_{1}}+{{I}_{2}}-2\sqrt{{{I}_{1}}{{I}_{2}}}\] The sum of the maximum and minimum intensities \[{{I}_{\max }}+{{I}_{\min }}=2({{I}_{1}}+{{I}_{2}})\]
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