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Image Formation by Concave Lens

An image 2 / ...

Question

An image 2/3 of size of the object is formed by a convex lens at a distance of 12cm from it. Find the focal length of the lens

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Solution

h' = 2/3 * h

h'/h = 2/3

m = 2/3

v = 12cm

m = -v/u = 2/3

-12/u = 2/3

u = -18cm

1/f = 1/u + 1/v

= 1/36

so , focal length (f) = 36 cm

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