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A person can focus clearly only on objects between 33.5 cm and 51.5 cm from his...

A person can focus clearly only on objects between 33.5 cm and 51.5 cm from his eyes.

  1. Find the focal lengths of the correcting contact lenses needed to correct his closeup vision and distant vision.
  2. Find the powers of the correcting contact lenses needed to correct his closeup vision and distant vision. Answer in the order indicated. Separate your answers with a comma.

You want to view an insect 2.20 mm in length through a magnifier. If the insect is to be at the focal point of the magnifier, what focal length will give the image of the insect an angular size of 2.90×10−2 rad radians?

A thin lens with a focal length of 6.50 cm is used as a simple magnifier.

  1. What angular magnification is obtainable with the lens if the object is at the focal point?
  2. When an object is examined through the lens, how close can it be brought to the lens? Assume that the image viewed by the eye is at infinity and that the lens is very close to the eye.
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