A point object is placed at a distance, u, in front of a diverging lens of focal length, f, to form an image a distance, v, from the lens. Derive an expression that related u, v and f.

A point object is placed at a distance, u, in front of a diverging lens of focal length, f, to form an image a distance, v, from the lens. Derive an expression that related u, v and f.

Solution

Consider in each case a ray incident on the same lens at a small height h above the principal axis as shown:

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