Two lenses have power of
  1. +2D
  2. –4D
What is the nature and focal length of each lens?
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The relation between Focal length (f) and Power (P) of a lens is given by$\text{f (in m)}=\frac{1}{\text{p}}$
Sign convention for f and P:
  • Convex Lens: Positive (+)
  • Concave Lens: Negative (-)
Case 1: P = +2D Nature: Converging lens (or Convex lens) Focal length: $\text{f}=\frac{1}{2}=+0.5\text{m}$ 1m = 100cm = 50cm. Hence the focal length is 50cm. Case 2: P = -4D Nature: Diverging lens (or Concave lens) Focal length: $\text{f}=\frac{1}{-4}=0.25\text{m}$$1\text{m}=100\text{cm}\Rightarrow0.25\text{m}=25\text{cm.}$
Hence the focal length is -25cm
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