(13%) Problem 2: People who do very detailed work close up, such as Jewellers, o

Question

(13%) Problem 2: 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 × 33% Part (a) What is the power in D of the eyes of a woman who can see an object clearly at a distance of only 7.5 cm? Assume the distance to her retina from the lens in her eye is 2.00 cm Grade Summary Deductions Potential P = 65.41 4% 96% 7 89 HOME Submissions Attempts remaining:5 (4% per attempt) detailed view tan() ? ( cosO cotan0 asin) acos0 atan)acotan) sinh0 4% cosh0 n cotanh0 Degrees O Radians 0 END BACKSPACE DEL CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback ? 33% Part (b) What is the size in mm of an image of a 1.2 mm object, such as lettering inside a ring, held at this distance? - ? 33% Part (c) What would the size in mm of the image be if the object were held at the normal 25 cm distance?

Explanation / Answer

Given :-

do = 7.5 cm

di = 2 cm

Using lens formula

1/f = 1/do + 1/di

1/f = 1/7.5 + 1/2

f = 1.58 cm

Now, power = 100/f

Power = 100/1.58

Power = 63.33 D

b)

Now , the size of image , hi = 2 cm*1.2 mm / 7.5 cm

hi = 0.32 mm

the height of image is 0.32 mm

C)

for do = 25 cm

hi = 2 * 1.2/25

hi = 0.096 mm

the height of image is 0.096 mm

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