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The human eye has a lot in common with a pinhole camera, being essentially a sma

ID: 1654457 • Letter: T

Question

The human eye has a lot in common with a pinhole camera, being essentially a small box with a hole in the front (the pupil) and a detector at the back (the retina). The distance from the pupil to the retina is approximately 24 mm. Suppose you look at a 190-cm-tall friend who is standing 5.6 m in front of you. Assuming your eye functions like a pinhole camera, what will be the height, in mm, of your friend’s image on your retina?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

from the defination of magnification of lens, we know that

M = i/o = h'/h

where i is the image dist, o is the object dist, h' is the image height and h is the object height.

image height = i/o x h = 190/560 x 24 = 8.14 mm

Hence, image height = 8.14 mm