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How many times will the incident beam shown in Figure P22.17 be reflected by each of the parallel mirrors?

$\text { Left-hand mirror has } 6 \text { reflections while the right-hand mirror has } 5 \text { reflections. }$

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Rutgers, The State University of New Jersey

Numerade Educator

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University of Winnipeg

given problem. You have follow institution. We have two meters. One mirror is here. Another memories here and there are parallel to each other. The length off each mirror she learned from here to here is a one meter and this is air getting a one meter. So they have a semblance and they're separated by a distance off again. One meter and light is incident from Let's say this is a right hand mirror. All right, this is a left from left hand mirror. D'oh Light is incident here and it reflects. So we had asked to find how many times will instant be in figure will be reflected from each mirror. So Haman Times, this will be reflected. So let's call this distance from here to here. This is excellence to the X. This will be two x two X. Is there distance between the two subsequent reflection from the mirror? Um, then we can write the total number of reflection from right and mirror. Let's call it in. One don't remember off The reflection from writing mirror will be equal. Thio the total end off the mirror. Toto lent roasted meter mirror divided by the water cooler distance covered between the two subsequent reflections. Um, which is here in this case is a to X. So we'll find X. Here we confined X. So this small ex ms six, we can find this x by using it. Uh, staying five later. He's a gang there. Days Obilic lower base Pumpernickel. His ex best. We call this distance, uh, from me. And here's a one meter so x will be simply taking five. This is equal to zero court, zero age 75 meters. So the water, the list insist this, so we'll substitute this value here. Now we can get the total number often reflections from right n mirror to be so. The total land off the mirror is the one meter divided by two times off 0.8 75 This gives us 5.7. So as the number of reflections cannot be, they're known in teaching number. Therefore, the end will be in one will be, 05 here. Similarly, we confined in two and too weak and righties are from the left hand Will be one close total number off reflection. I don't know, Judy. Totally limp. Total end off, huh? left, uh, hand major minus X divided by divided by the war Tickle distance are vertical. Distance off subsequent reflections, which is a to X off. Securing a values one plus one is the length off the left hand mirror minus zero point zero, age 75 is divided by two x, which is recalculated. The report, you know, 875 this gives are so and to to be six point 21 all we can say just six reflections.