Optics Question 587

Question: A convex lens of focal length 84 cm is in contact with a concave lens of focal length 12 cm. The power of combination (in diopters) is

[MP PET 1991]

Options:

A) 25/24

B) 25/18

C) - 50/7

D) + 50/7

Show Answer

Answer:

Correct Answer: B

Solution:

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

$ =\frac{1}{(+84)}+\frac{1}{(-12)} $

$ \Rightarrow F=-14\ cm $

$ \therefore P=\frac{100}{F}=\frac{100}{-14}=-\frac{50}{7}D $



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