Practice question
Question
A convex lens of focal length \( 25 \, \text{cm} \) forms an image of an object placed \( 50 \,
\text{cm} \) from it. What is the image distance?
Explanation
**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. Focal length: f = 25 cm . Object distance: u = -50 cm . Lens formula: (1/v) - (1/u) = (1/f) . (1/v) - (1/-50) = (1/25) ⇒ (1/v) + (1/50) = (1/25) . (1/v) = (1/25) - (1/50) = (2 - 1/50) = (1/50) . v = 50
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