A thin converging lens of power 6D and a thin diverging lens of power 2D are in contact. What is the focal length of the combination?

A thin converging lens of power 6D and a thin diverging lens of power

1.	A thin converging lens of power 6D and a thin diverging lens of power 2D are in contact. What is the focal length of the combination?
Answer» - LENS ConceptPower is related to focal length as POWER of a converging lens (CONVEX lens) is positive since focal length is positivePower of a diverging (CONCAVE) lens is negative since focal length is negative.EQUIVALENT focal length(f') of two lens is given having focal length f1 and f2 is given by Equivalent power of two lens is given as p' = P1 + P2.SOLUTIONSpower of converging lens = 6 Dpower of diverging lens = -2 D.Equivalent power = 6 - 2 = 4 D.Hence, focal length = 1/P = 1/4 = 0.25 mHence, focal length of the lens is 0.25 m.

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A thin converging lens of power 6D and a thin diverging lens of power 2D are in contact. What is the focal length of the combination?

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