A short-sighted student cannot see clearly beyond a far point of 40 cm from her eye

PHYSICS · Subjective · Fermi University Physics · Optics & Photonics · Geometrical optics and imaging · Geometrical optics and imaging

Optics and Photonics, Ch Stops, pupils and optical instruments

Problem

A short-sighted student cannot see clearly beyond a far point of 40 cm from her eye. She is to be given a thin spectacle lens, treated as being in contact with the eye, which forms an image of a very distant object at her far point so that the relaxed eye can focus it. Air surrounds the lens and the sign convention is the book's:

s_o > 0

for a real object to the left,

s_i > 0

for a real image to the right. What dioptric power

\mathcal{D}

should the lens have?

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