A lens has a focal length of 25.0 cm. What is its power in diopters?
A0.0400 D
B25.0 D
C0.250 D
D4.00 D
Answer & Solution
Correct answer: D. 4.00 D
1. The power of a lens is P = 1 divided by f, and f must be given in metres, not in centimetres or millimetres.
2. Converting, 25.0 cm = 0.250 m.
3. Substituting, P = 1 divided by 0.250 m = 4.00 D.
4. One diopter is one inverse metre, so the unit follows straight from the conversion.
5. Using 25.0 cm directly gives 0.0400 D, a hundredfold error caused by skipping the conversion.
_Source: OpenStax College Physics (CC BY 4.0), Ch 25 "Geometric Optics", section 25.6 Image Formation by Lenses_
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