載入中... 相關課程 Back Object Image Height and Distance Relationship 登入觀看 ⇐ Use this menu to view and help create subtitles for this video in many different languages. You'll probably want to hide YouTube's captions if using these subtitles. Object Image Height and Distance Relationship 上傳學習單 下載學習單 相關課程 0 / 750 In the last video, I showed that a bunch of triangles are similar to each other to come up with a relationship between the focal length, the distance of an object from the convex lens, and the distance of the image of an object from that convex lens. And I realize that there is one extra low hanging fruit based on all of the geometry that I had done Another relationship that might come in useful, and that's the relationship between the size of the objects. maybe we set the arrow here, we call it the height of the object And the height of the image We did, we really setup everything already. We already figure out, that this triangle over here, is similar to this triangle down here And we figured out the in last video, that this triangle over here is similar to this triangle over here And since these two are similar, we can say that A is to B We did this over here, I will rewrite it A is to B as Both of those are the sides opposite the right angles of these 2 simlar triangles, So that's going to be the same thing as the ratio of the sides opposite this yellow angle right over here. so, this triangle over here, since we started with A first, is this height, right over here. Now, what is this height right over here? This is the height of the object. Is to Now, what is this opposite side of this yellow angle right over here This is the height of the image. Or, we know from the last video the distance of the object to the distance of the image is the same thing as A to B So this is going to be the same thing as this So, the ratio of the distances is also the same thing as the ratio of their heights so let me write it this way The ratio of the distance from the object to the lens to the distance from the image to the lens is the same as the ratio of the height of the object to the height of the image or, to the image of that object So I just want to do the low hanging fruit here since we had already done all of the... We had setup all of the mechanics already. Anyway, hope you found this useful.