The crystalline lens of the human eye is double convex and has a typical range o

Question

The crystalline lens of the human eye is double convex and has a typical range of optical power from 116 diopters to 149 diopters .

PART A

What is the range of focal lengths the eye can achieve?

Enter your answers in millimeters, separated by a comma, to three significant figures.

Part B

At minimum power, where does it focus the image of a very distant object?

Give your answer as the distance, in millimeters, from the crystalline lens of the eye to the image to three significant figures.

Part C

At maximum power, where does it focus the image of an object at the near point of 25.0 cm ?

Give your answer as the distance, in millimeters, from the crystalline lens of the eye to the image to three significant figures.

Explanation / Answer

part A

focal length = 1/Power

fmin = 1/Pmax = 1/149 = 0.00671 m

fmin = 6.71 mm

fmax = 1/Pmin = 1/116 = 0.008862 m

fmax = 8.862 mm

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part B

object distance p = infinity

focal length = fmax = 8.862 mm

1/p + 1/q = 1/fmax

0 + 1/q = 1/8.862 mm

distance = d = 8.862 mm

part C)

object distance p = 250 mm

focal length = fmin = 6.671 mm

1/p + 1/q = 1/fmax

1/250 + 1/q = 1/6.671 mm

distance = d = 6.85 mm

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