31.3k views
2 votes
A far-sighted person has a near point of 100 cm. How far in front or behind the retina does the image of an object placed 25 cm from the eye form? Use the cornea to retina distance of 2.5 cm.

a. 22.5 cm
b. 27.5 cm
c. 32.5 cm
d. 17.5 cm

1 Answer

3 votes

Final answer:

The image of an object placed 25 cm from the eye forms 27.5 cm behind the retina.

Step-by-step explanation:

To determine how far in front or behind the retina the image of an object placed 25 cm from the eye forms, we need to consider the lens-to-retina distance, which is given as 2.5 cm.

The formula to calculate the image distance is:

1/f = 1/v - 1/u

Where f is the focal length of the eye lens, v is the image distance, and u is the object distance.

In this case, the near point is 100 cm, so the focal length (f) can be calculated as:

1/f = 1/100 - 1/Infinity

Since the cornea to retina distance is 2.5 cm, the image distance (v) can be calculated as:

v = u - 2.5

Substituting the values, we have:

1/100 - 1/Infinity = 1/v - 1/25

Simplifying the equation, we find that the image distance (v) is 27.5 cm.

Therefore, the image of the object is formed 27.5 cm behind the retina.

User Ye Liu
by
8.5k points