
#1
Jun710, 12:41 AM

P: 54

1. The problem statement, all variables and given/known data
If you have normal vision and are properly using a magnifying glass with a refractive power of 12.5 diopters, how far should you hold it from the object to achieve maximum angular magnification? 2. Relevant equations 1 diopter = 1/focal length = m^1 M=angular magnification Mmax = [(Near Point)/f] +1 Near point for someone with normal vision = 25cm 3. The attempt at a solution First I use 12.5 diopters to figure out the focal length: 1/12.5 = .08m = 8cm Then I plugged this into the equation for Mmax for someone with normal vision: [25cm / 8cm] + 1 = 4.125 = Mmax I don't know how to use any of this to find the maximum distance the object should be held at though. The prof already posted the answersthis should be 6.67 cm I'm just trying to practice before an exam and learn how to do this, so any help/tips would be great. Thanks! 



#2
Jun910, 11:14 AM

P: 4

Maybe you can use this:
M = (fv)/f 4.125 = 8v/8 v = 25cm I am not so sure abt the answer. Another formula that you might find useful is M = f/(f+u) 


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