Practice question
Question
A simple microscope with a focal length of \( 6 \, \text{cm} \) forms an image at infinity. What is the
magnification?
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. Magnification at infinity: m = (D/f) . D = 25 cm , f = 6 cm . m = (25/6) ≈ 4.167 . Substituting values gives 4.17, which matches expected image position and magnification from mirror/lens formula 1/f = 1/v - 1/u (lens) or 1/f = 1/v + 1/u
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