Help with optics problem involving diopters

AI Thread Summary
A nearsighted man with contact lenses of -3.60 diopters seeks an eyeglasses prescription while wearing them 2.30 cm from his eyes. Initially, a calculation led to -3.32 diopters, which was incorrect. The correct approach involved subtracting the distance from the focal length rather than adding it, resulting in a final prescription of -3.92 diopters. The discussion highlights the importance of understanding the relationship between contact lens power and eyeglass prescription adjustments. Ultimately, the correct calculation clarified the nearsighted man's needs for optimal vision correction.
Altagyam
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Homework Statement


A nearsighted man uses his ideally prescribed contact lenses that have a refractive power of −3.60 diopters. He would like a prescription for eyeglasses. What is the correct eyeglasses prescription if he wears his eyeglasses a distance of 2.30 cm from his eyes?

Homework Equations


I used the mirror equation. 1/f = 1/do + 1/di

The Attempt at a Solution


I found a solution to be -3.32 and what I did was convert the refraction power to focus and then convert it to centimeters and added 2.3 and then did the inverse of that to obtain -3.32 and apparently that is wrong. I have used chegg and they show the same exact method I employed. I don't understand. Help!
 
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If his contact lenses are "ideally prescribed" I take that to mean perfect vision at infinity. So does it matter what the refractive power of the contacts is?
 
rude man said:
If his contact lenses are "ideally prescribed" I take that to mean perfect vision at infinity. So does it matter what the refractive power of the contacts is?
I figured it out. I had to subtract 0.278 m - 0.023 m instead of adding. The correct answer was -3.92
 
Altagyam said:
I figured it out. I had to subtract 0.278 m - 0.023 m instead of adding. The correct answer was -3.92
OK, I misread the problem anyway ...
 
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