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Two thin lenses when in contact produce a combination of power +10 D. When they are 0.25 m apart the power reduces to +6 D. The focal length of the lenses are (in m)

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0.125, 0.5

1.25, 5

12.5, 50

125, 0.05

answer is A.

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Detailed Solution

$p = p_{1} + p_{2} = 10 .......... (1) p_{1} + p_{2} - {dp}_{1} p_{2} = 6 ......... (2) o n s o l v i n g w e g e t \begin{array}{l} p_{1} = 8 D ⇒ f_{1} = 0.125 m \\ p_{2} = 2 D \Rightarrow f_{1} = 0.5 m \end{array}$

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