Reading glasses on a pharmacy rack are labelled 1.75 D. What is the focal length of these lenses?
A1.75 cm
B17.5 cm
C57.1 cm
D175 cm
Answer & Solution
Correct answer: C. 57.1 cm
1. Optometrists prescribe spectacles and contact lenses in diopters, and power is the inverse of the focal length.
2. So f = 1 divided by P.
3. Substituting, f = 1 divided by 1.75 D = 0.571 m.
4. Converting to centimetres gives f = 57.1 cm.
5. The positive sign confirms a converging lens, which is what reading glasses use.
_Source: OpenStax College Physics (CC BY 4.0), Ch 25 "Geometric Optics", section 25.6 Image Formation by Lenses_
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