Question

If a farsighted person has a near point that is 0.600 m from the eye, what is the focal length f_2 of the contact lenses...

If a farsighted person has a near point that is 0.600 m from the eye, what is the focal length f_2 of the contact lenses that the person would need to be able to read a book held at 0.350 m from the person's eyes?
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Answer #1
Concepts and reason

The concept used to solve this problem is lens equation.

First use the relationship between object distance and image distance to calculate the focal length.

Fundamentals

The lens equation is defined as the relationship between the image distance, object distance, and focal length.

Expression for the focal length is,

111
ニーカー

Here, f is the focal length, v is the image distance, and u is the object distance.

Object distance, u=0.350m

Image distance, v=-0.600 m

Expression for the focal length is,

111
ニーカー

Substitute 0.350 m
for u and -0.600 m
for v.

ſ
0.350m (-0.600m)

Rearrange the equation to get the focal length,

- (-0.600m)+(0.350m)
0.350m(-0.600m)
= 0.840 m

Ans:

The focal length of the contact lens is 0.840 m
.

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