Two lenses A and B have focal lengths of +20cm and, -10cm, respectively.
  1. What is the nature of lens A and lens B?
  2. What is the power of lens A and lens B?
  3. What is the power of combination if lenses A and B are held close together?
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$f _{ A }=+20 cm=+0.2 m f _{ B }=-10 cm=-0.1 m$
  1. Lens A is a convex lens (positive focal length) and lens B is a concave lens (negative focal length).
  2. $\text{P}_\text{A}=\frac{1}{\text{f}_\text{A}}=\frac{1}{+0.2}=+5\text{D}$
$\text{P}_\text{B}=\frac{1}{\text{f}_\text{B}}=\frac{1}{-0.1}=-10\text{D}$
  1. Power of combination,
P = PA + PB = +5D + (-10D) = -5D
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