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A myopic person sees that her contact lens prescription is –4.00 D . What is her far point?

25.0 $\mathrm{cm}$

Physics 103

Chapter 26

Vision and Optical Instruments

Reflection and Refraction of Light

Wave Optics

Simon Fraser University

University of Sheffield

University of Winnipeg

Lectures

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The contact lens prescript…

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The contact-lens prescript…

production. This problem? We were told that a person has a contact lens. Ah, prescription of negative point for di openers on. We're trying to find the farm points and first up its first. We need to find what the power off the person's eye is with his lenses. So in order to do is we're going to take a normal this going to be e find the contact lens prescription. What you do is you take the 50 day openers and you subtracted from a value X. Now in this case are ValueAct is unknown. But in reality, our X is representing the total power off the person's eye, including persons I plus the person's lens power. And I don't need the software. So 50 minus tax is going to be able to make it is four point thistles the formula for our our, um total power, in a sense, because we have our I'll replace this X with the better variable, in a sense, So let's take out this X and let's call it Petey. So Petey is our total power. 50 is our ndvi are normal, distant vision, the power of our eyes and the negative four point. Oh, is the power of our lenses. So in order to find the power of the total power, we're just going to switch these up again. Switch these out. We're gonna add for the both sides and add, um I had four to both sides and we're gonna add out the foot the PT. So he said that the power, the total power of the eye, plus the lens is going to be 54 day openers now from here, or to calculate the Farpoint, we need another piece of information which we are given the lens to retina distance is always gonna be 2.0 centimeters in this in these problems unless otherwise stated. So we use power is equivalent to one over the eye, minus one over D zero. This is going to be our d I. And this is gonna be our power we need to solve. For Artie, not R D. Knot is equivalent to power minus one over the eye to the negative one power which is equivalent to 54 minus zero point on minus one over 0.2 to the negative one power which in turn get should give us our final answer of 25 centimeters or let's write it meters cause metric units and stuff 0.25 meters, which is our Farpoint distance.

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