🔎 Lens Ray Diagram (Convex & Concave)

📖 The Physics

A convex (converging) lens bends parallel rays of light together to a single focus; a concave (diverging) lens spreads them apart. That one difference explains cameras, glasses and magnifiers.

To find an image, trace two easy rays: one parallel ray (which leaves the lens through the focus) and one straight through the centre (undeviated). Where they meet — or appear to meet — is the image.

1/d_o + 1/d_i = 1/f m = − d_i / d_o Convex: f > 0 Concave: f < 0 (always a virtual, upright, smaller image)

With a convex lens, sweep the object in: beyond 2F → small real image; at 2F → same size; between F and 2F → magnified real; at F → image at infinity; inside F → magnified virtual (a magnifying glass). A concave lens always gives a small upright virtual image (like a peephole).

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