In the derivation of the thin convex lens formula

PHYSICS · Single correct · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

In the derivation of the thin convex lens formula, one arrives at the relation

u(v - f) = fv

using the Cartesian sign convention. Which of the following lens equations is obtained after simplifying this relation? (a)

\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}

(b)

\dfrac{1}{u}-\dfrac{1}{v}=\dfrac{1}{f}

(c)

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

(d)

\dfrac{1}{v}+\dfrac{1}{u}=-\dfrac{1}{f}