Optics Question 593

Question: If $ I _{1} $ and $ I _{2} $ be the size of the images respectively for the two positions of lens in the displacement method, then the size of the object is given by

[CPMT 1988]

Options:

A) $ I _{1}/I _{2} $

B) $ I _{1}\times I _{2} $

C) $ \sqrt{I _{1}\times I _{2}} $

D) $ \sqrt{I _{1}/I _{2}} $

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Answer:

Correct Answer: C

Solution:

$ \frac{I _{1}}{O}=\frac{v}{u} $ and $ \frac{I _{2}}{O}=\frac{u}{v}\Rightarrow O^{2}=I _{1}I _{2} $



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