People who do very detailed work close up, such as jewellers, often can see obje

Question

People who do very detailed work close up, such as jewellers, often can see objects clearly at much closer distance than the normal 25.0 cm. What is the power of the eyes of a woman who can see an object clearly at a distance of only 7.75 cm? Assume a distance from the eye lens to the retina of 2.00 cm.

What is the size of the image of a 1.50 mm object, such as lettering inside a ring, held at this distance? Enter your answer as a positive number if the image is upright, and negative if it is inverted.

What would the size of the image be if the object were held at the normal 25.0 cm?

Explanation / Answer

a)

do = object distance = 0.0775 m

di = image distance = 2 cm = 0.02 m

P = power

using the equation

P = 1/do + 1/di = 1/0.0775 + 1/0.02 = 63 D

b)

ho = 1.50 mm

using the equation

hi = - ho (di/do) = - (1.50) (0.02/0.0775) = - 0.387 mm

c)

ho = 1.50 mm

do = 25 cm = 0.25 m

using the equation

hi = - ho (di/do) = - (1.50) (0.02/0.25) = - 0.12 mm

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