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You note that your prescription for new eyeglasses is –4.50 D. What will their focal length be?
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Final Answer
$-22.2 \textrm{ cm}$
Solution Video

OpenStax College Physics Solution, Chapter 25, Problem 39 (Problems & Exercises) (0:28)

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Video Transcript

This is College Physics Answers with Shaun Dychko. The power in units of dioptres is reciprocal of focal length of a lens in meters and so we can solve for <i>f</i> by taking both sides to the power of negative one in which case you can see focal length is also the reciprocal of power. So, that’s one over negative 4.50 dioptres which is negative 0.222 meters and we can write that as negative 22.2 centimetres.