What is the size of the image on the retina of a 1.20 x 10 -2 cm

Question:

What is the size of the image on the retina of a 1.20 x 10-2 cm diameter human hair, held at arm's length (60.0 cm) away? Take the lens-to-retina distance to be 2.00 cm.


Strategy

We want to find the height of the image hi, given the height of the object is ho = 1.20 x 10-2 cm. We also know that the object is 60.0 cm away, so that do = 60.0 cm. For clear vision, the image distance must equal the lens-to- retina distance, and so di = 2.00 cm. The equation h ho = - di = d; do = mcan be used to find hi, with the known ho information.

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