Question Video: Understanding the Geometric Shape of a Convex Lens | Nagwa Question Video: Understanding the Geometric Shape of a Convex Lens | Nagwa

Question Video: Understanding the Geometric Shape of a Convex Lens Physics

Which of the following statements correctly describes a convex lens? [A] A convex lens is thicker than a concave lens. [B] A convex lens increases in thickness from its center to its edges. [C] A convex lens decreases in thickness from its center to its edges. [D] A convex lens has uniform thickness.

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Video Transcript

Which of the following statements correctly describes a convex lens? A) A convex lens is thicker than a concave lens. B) A convex lens increases in thickness from its center to its edges. C) A convex lens decreases in thickness from its center to its edges. D) A convex lens has uniform thickness.

So to answer this question, we’re trying to recall what a convex lens actually is. And to answer this, we need to know that the word convex refers to any surface that curves the same way as the outside of a sphere. In other words then, if this is our sphere and we place an observer on the outside of the sphere. So this is the eye of the observer. Then we see that the surface of the sphere starts far away from the observer. Then comes towards the observer and then bends away from the observer again. And a convex lens simply has that same convex behavior on both sides of the lens. In other words, a convex lens is convex on one side. And it’s convex on the other as well. Sometimes, therefore, it’s known as a biconvex lens, bi meaning two showing that it’s convex on the left and on the right.

So looking at the first possible answer, option A. This says that a convex lens is thicker than a concave lens. Now that’s not necessarily true. Firstly, we recall that concave is any surface that bends like the inside of a sphere. So if we place our observer here, then they see the inside of the sphere as starting near them at the top. Then curving away from them and then curving back towards them. And so a concave lens, or biconcave lens, is one which is concave on one side and concave on the other. And the way that we’ve drawn this concave lens it is thinner than the convex lens. However, this is also a concave or, rather, a biconcave lens. And yet it’s much thicker than our convex lens. So it’s not necessary for a convex lens to be thicker than a concave lens. Hence, option A is not what we’re looking for.

Option B then, a convex lens increases in thickness from its center to its edges. Okay, so if we start at the center, we see that it’s got a fairly large thickness. And then as we go towards the edges, or as we go higher up or lower down, we see that the thickness actually decreases. And hence, option B is not the answer we’re looking for. Option C says the opposite. A convex lens decreases in thickness from its center to its edges. And we’ve just seen that this is true. If we start at the center, the thickness is large. And as we go further towards the edges, the thickness decreases. So it looks like option C may be our answer. But if we quickly look at option D, this one says that a convex lens has uniform thickness. And we’ve clearly seen that that’s not true. Once again, the convex lens is thick in the middle. And it’s thin at the edges. Therefore, it cannot have a uniform or same thickness all the way along its length.

Hence, we’ve found our answer. A convex lens decreases in thickness from its center to its edges.

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