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#lens behavior

3 public questions tagged with this topic.

In a convex lens, if an object is placed at the focal point, where is the image formed?

**Refraction at spherical surface** formula n₁/u + n₂/v = (n₂-n₁)/R governs single surface, extension to two surfaces yields lens maker. Double convex with equal |R| has f = R/[2(n-1)], for R=12 cm, n=1.5, f=12 cm, illustrating dependence on curvature and index. For a convex lens, when the object is at the focal point (F), the rays after refraction become parallel and do not converge to a point on the other side. The image is formed at infinity, as the rays appear to diverge from an infinitely distant point when traced backward. Substituting values gives At infinity, which matches expected ima

Ref: NCERT > Physics Book > Ray Optics > Refraction at Spherical Surfaces and Lens Maker's Formula

Why does the image formed by a convex lens become real and inverted when the object is moved beyond the focal point?

**Concave mirror image formation** depends on object position: beyond C real inverted diminished between F and C, at C real inverted same size at C, between C and F real inverted magnified beyond C, at F image at infinity, within F virtual erect magnified behind mirror. Beyond the focal point, a convex lens converges light rays to a point on the opposite side of the lens. This convergence forms a real image, and because the rays cross over, the image is inverted relative to the object’s orientation. Substituting values gives Due to convergence of rays on the opposite side, which matches expect

Ref: NCERT > Physics Book > Ray Optics > Reflection by Spherical Mirrors and Mirror Formula