derivation of the lens formula.
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Explanation:
ΔA’B’O) (equ. 1)
POOF=A′B′FB′ (from similar ΔPOF and ΔFB’A’)
∴ABOF=A′B′FB′ (from figure PO = AB)
ABA′B′=OFFB′ (equ. 2)
BOOB′=OFFB′ (from equ. 1 and equ. 2)
∴BOOB′=OFOB′−OF −u+v=+fv−f (substituting optical distance values)
∴−uv+uf=fv −1f+1v=1u (dividing by u,v and f on both the sides)
1v=1u+1f 1f=1v−1u
Therefore, this is known as Lens formula.
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