Optics Question 580

Question: A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of combination is

[IIT-JEE 1982; AFMC 1997; CBSE PMT 2000; RPMT 2003]

Options:

A) - 1.5 D

B) - 6.5 D

C) + 6.5 D

D) + 6.67 D

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Answer:

Correct Answer: A

Solution:

Focal length of the combination can be calculated as $ \frac{1}{F}=\frac{1}{f _{1}}+\frac{1}{f _{2}} $

$ \Rightarrow \frac{1}{F}=\frac{1}{(+40)}+\frac{1}{(-25)} $

$ \Rightarrow F=-\frac{200}{3}cm $

$ \therefore P=\frac{100}{F}=\frac{100}{-200/3}=-1.5\ D $



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