You have \"normal vision\"- you can form a clear image on your retina from a boo

Question

You have "normal vision"- you can form a clear image on your retina from a book that is held 25 cm from your eye. When focused like this, your cornea+ lens acts like a single converging lens of focal length 2.27cm.

a. how big is your eyeball? In other words, where is the image formed from the book 25cm from your lens?

Just for fun, you put on your friends contacts, which are converging lens of focal length f=+150 cm. Of course a book 25 cm away is blurry now.

b. where is the image of the book created by the contact lens located? (measured from the contact lens)

c. Where is the final image of the book located (the one created by the contact lens and your eye working together) Assume your eye still has a focal length of 2.27 cm

Explanation / Answer

a) f = 2.27 cm

we know, 1/u + 1/v = 1/f

1/v = 1/f - 1/u

1/v = 1/2.27 - 1/25

v = 2.497 cm <<<<<<<<-Answer

b)
f = 150 cm

we know, 1/u + 1/v = 1/f

1/v = 1/f - 1/u

1/v = 1/150 - 1/25

v = -30 cm <<<<<<<<-Answer

c)

u = -30

f = 2.27 cm

1/u + 1/v = 1/f

1/v = 1/f - 1/u

1/v = 1/2.27 + 1/30

v = 2.11 cm <<<<<<<<<<<-Answer

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