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Predict/Calculate Your favorite aunt can read a newspaperonly if it is within 15.0 $\mathrm{cm}$ of her eyes. (a) Is your aunt nearsightedor farsighted? Explain. (b) Should your aunt wear glasses that areconverging or diverging to improve her vision? Explain. (c) How many diopters of refractive power must her glasses have if they areworn 2.00 $\mathrm{cm}$ from the eyes and allow her to read a newspaper ata distance of 25.0 $\mathrm{cm} ?$

a) In a nearsighted a person, however, a totally relaxed eyes focuses only out to a finite distance from the eye. The far point. Thus a person with this condition is said to be nearsighted because objects near the eye can be focused.b) The diverging lens can produce an image of a distant object at your aunt's far point distance,so, the aunt should wear glasses with diverging lenses.c) the refracting power of the glasses is $-3.34$ diopters

Physics 103

Chapter 27

Optical lnstruments

Wave Optics

University of Washington

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University of Sheffield

McMaster University

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Okay, So in this problem, your aunt can only see objects there near than 50 sink emitters from his eyes. So if she can only see image at this distance, that means she only produces the distance of the image is at 15. Same team enters from his eyes for here. Ice. Okay, but she's trying to read a newspaper. So this is our object at a distance off 25 senti mentors. And we know she's using glasses with given refractive our that. We don't know yet. At a distance that's called distance D off too. Sent emitters from his eyes. So she's writing his glasses at a distance of two centimeters from his eyes. Okay, so the 1st 10 of this problem, the first I think of the problem, we want to discover if you if your rent is nearsighted or farsighted Well, since you're in, can only focus, object? There are near his eyes. She needs to be. Let's see the first item she needs to be year Site heads. Okay, so this is the answer to the first item. This second item What we want to discover in the second the second item we want to discover what type of glass is what type of lens your aunt needs to wear. Okay. So because divergent linds can produce image off a distance object your aunt needs to be using die virgin lenses. Okay? And the final item of this problem, we want to discover the refractive our off this glasses. We know that reflective our this equal to one divided by focal length. But we also know that the focal lens it's we call to one divided by zero plus one divided by the I. So in order to Coca Lee, the reflective power, we just need to use the the zero and do I that we have here. But there is one problem. This distance are related to the glasses. But the problem gives is related to the eyes of the person off your rent. So we need to subtract here by zero, actually, by two, not zero. We need to subtract by two. It's just subtract both bye to here by two in here by two. So let's calculate this. We're going to have one divided bye. Let's put in meters because reflective power is in meters 0.2 five minor, zero point zero truth plus one divided bye 0.15 minors little 0.2 but remembered that we always needs to put a minor signing front or here or the rise. The calculation will be incorrect. So the answer to all of this it's just going to be minus three point three for Diop. Tres So the refracting our off the glasses in 3.34 doctors and that's defined arranged.

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