A) \[{{({{A}_{1}}{{A}_{2}})}^{1/2}}\]
B) \[\frac{{{A}_{1}}+{{A}_{2}}}{2}\]
C) \[{{\left( \frac{1}{{{A}_{1}}}+\frac{1}{{{A}_{2}}} \right)}^{-1}}\]
D) \[{{\left( \frac{\sqrt{{{A}_{1}}}+\sqrt{{{A}_{2}}}}{2} \right)}^{2}}\]
Correct Answer: A
Solution :
From Nerwton's equation of lens size of object \[={{O}^{2}}={{l}_{1}}{{l}_{2}}\] where \[{{l}_{1}}\] is size of Image of object and \[{{l}_{2}}\] is size of image when pisitions of object & image are interchanged So \[{{A}^{2}}={{A}_{1}}{{A}_{2}}\] \[\Rightarrow \] \[A=\sqrt{{{A}_{1}}{{A}_{2}}}\]
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