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#magnified image

2 public questions tagged with this topic.

Total Internal Reflection and Critical Angle

In a concave mirror, under what condition is the image formed virtual and magnified?

**TIR application** requires n₁>n₂ and θ₁>C. Critical angle formula derived from Snell's law with θ₂=90°, n₁ sinC = n₂ sin90° = n₂, so sinC = n₂/n₁. For glass-air sinC=1/1.52, C≈41°, for water-air 48.6°, determining cutoff for transmission. For a concave mirror, a virtual and magnified image is formed when the object is placed between the focal point (F) and the pole (P). Here, the reflected rays diverge, and their backward extensions converge behind the mirror, producing a virtual, erect, and magnified image. Substituting values gives Object between focal point and pole, which matches expected image position and magnification from mirror/lens formula 1/f = 1/v -

Ref: NCERT > Physics Book > Ray Optics > Total Internal Reflection and Critical Angle

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Thin Lenses - Lens Formula, Magnification and Power

What is the primary condition under which a convex lens forms a virtual and magnified image?

**Convex lens image formation**: object beyond 2F (u>2f) real inverted diminished between F and 2F, at 2F same size at 2F, between F and 2F magnified beyond 2F, at F image at infinity, within F virtual erect magnified same side. For f=15 cm, u=30 cm=2f, m = v/u =30/30=1? Actually v=30 cm, m=-1, same size inverted. For a convex lens, a virtual and magnified image is formed when the object is placed between the focal point (F) and the optical center (O). In this position, the rays diverge after refraction, and their backward extensions converge on the same side as the object, producing a virtual,

Ref: NCERT > Physics Book > Ray Optics > Thin Lenses - Lens Formula, Magnification and Power

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