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The radius of curvature R of a curved mirror relates to its focal length f in a very simple way. What is that relationship?
AR is always exactly equal to f itself
BR is always exactly equal to twice f
CR is always exactly equal to half of f
DR is always exactly equal to f squared
Answer & Solution
Correct answer: B. R is always exactly equal to twice f
1. The radius of curvature of a curved mirror is simply twice the focal length.
2. In symbols that is R = 2f, so R is always larger than f by a factor of two.
3. Equating R to f, to half of f, or to f squared all contradict this stated factor of two.
_Source: OpenStax Physics (CC BY 4.0), Ch 16 "Mirrors and Lenses", section 16.1 Reflection_
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