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Predict/Calculate The focal length of a relaxed humaneye is approximately 1.7 $\mathrm{cm} .$ When we focus our eyes on a close-up object, we can change the refractive power of the eye by about 16 diopters. (a) Does the refractive power of our eyes increase ordecrease by 16 diopters when we focus closely? Explain. (b) Calculate the focal length of the eye when we focus closely.

a) When the eye is viewing a near object, the ciliary muscles are tensed, changing the shape and reducing the focal length of the lens so, as the focal length decreases the refractive power of our eyes increases.b) $ 1.33 \mathrm{cm}$

Physics 103

Chapter 27

Optical lnstruments

Wave Optics

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

Lectures

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Okay, So in this problem, we know that a relax it human eye has a focal length F one off 17 ST Emitters and we know we can change the refractive our bye. That's sports in here. Power by 16 dying copters. And the problem wants to know, uh, if the reflective our over rise increase or decrease by 16 doctors when we focus closely. Okay, So the light race from a nearby object must bend more Shockley when traveling from the object to the retina. So the eyes refractive. Our must increase so we can correct, is disbanding. Okay, so this is the first. I think first, I kind of the problem we need to be Oh, crease the refractive our So we can bend more delight. Race. Okay. And the second item of the problem, we need to calculate the focal length of the eye when we focus closely. All right, So first of all, let's calculated the refractive our when the human eye is relax it. So the hour it's just going to be one divided by F one choose one divided by 0.0 17. That's equal to 58 point a. The doctors. So since we know that to focus our object nearby, we need to increase the power. The focal lent. Let's call F, too. It's just going to be one divided by 58 0.8 plus 16. Well, this is going to be quote, too. What boy Tree ST Emitters. And that's the focal length of the human eye so we can see object nearby. And that's all Thanks for watching.

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