Answer to Question #127452 in Optics for nosihle

Question #127452
what is the nature and focal length of the lens that will form a virtual image having one-quarter the dimensions of an object spaced 40 cm from the lens?
1
Expert's answer
2020-07-27T09:35:31-0400

The formula for finding Focal length ia;

1u+1v=1f\frac{1}{u}+\frac{1}{v}=\frac{1}{f}

v=40v=40

u=10u=10

110+140=1f\frac{1}{10}+\frac{1}{40}=\frac{1}{f}

Reducing the sum you find 18\frac{1}{8}

As a result the focal length is 8 cm while the nature of the lens is convex since the power is positive.


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