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The cornea behaves as a thin lens of focal length approximately 1.80cm , althoug

ID: 1386770 • Letter: T

Question

The cornea behaves as a thin lens of focal length approximately 1.80cm , although this varies a bit. The material of which it is made has an index of refraction of 1.38, and its front surface is convex, with a radius of curvature of 5.00mm .
(Note: The results obtained here are not strictly accurate, because, on one side, the cornea has a fluid with a refractive index different from that of air.)

The closest distance at which a typical person can focus on an object (called the near point) is about 25.0cm , although this varies considerably with age. Where would the cornea focus the image of an 15.0mm -tall object at the near point?

Explanation / Answer

Apply 1/f = 1/p + 1/q

1/1.8 = 1/25 + 1/q

q = 1.94 cm behind the cornea

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