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A compound lens is made up of two thin lenses having power \( +12.5 \mathrm{D} \) and \( -2.5 \mathrm{D} \) . Find the focal length and power of the combination.
Given:
$\mathrm{P}_{1}=12.5 \mathrm{D}$
$\mathrm{P}_{2}=-2.5 \mathrm{D}$
To find: focal length and power of the combination
Solution:
Equivalent power; $\mathrm{P}=\mathrm{P}_{1}+\mathrm{P}_{2}=12.5-2.5=10 \mathrm{D}$
focal length equivalent $=\frac{1}{10} \mathrm{~m}=10 \mathrm{~cm}$
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