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 cm. What is the power of the eyes of a woman who can see an object clearly at a distance of only 9.46 cm ( plusminus0.1 D) What is the size of an image of a 1.01mm object, such as lettering inside a ring, held at this distance? Enter a positive number for a right side up image, and a negative number for an upside-down image. mm (plusminus 0.001 mm). What would the size of the image be if the object were held at the normal 25.0 cm distance? mm ( plusminus IE-4 mm).

Explanation / Answer

here,

the object distance , do = 0.0946 m

the image distance , di = - 0.25 m

let the focal length be f

using the lens formula

1/f = - 1/di + 1/do

1/f = 1/0.0946 - 1/0.25

f = 0.152 m

power , P = 1/f

P = 1/0.152

P = 6.58 D

the power of the eye lens is 6.58 D

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