A) \[\sqrt{{{A}_{1}}{{A}_{2}}}\]
B) \[\frac{{{A}_{1}}+{{A}_{2}}}{2}\]
C) \[\frac{{{A}_{1}}-{{A}_{2}}}{2}\]
D) \[\frac{1}{{{A}_{1}}}+\frac{1}{{{A}_{2}}}\]
Correct Answer: A
Solution :
We know that by displacement method, size of object\[(O)=\sqrt{{{I}_{1}}\times {{I}_{2}}}\]. Therefore area of source of light\[(A)=\sqrt{{{A}_{1}}{{A}_{2}}}.\]
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