Practice question
Question
A converging beam meets a convex lens (\( f = 15 \, \text{cm} \)) \( 10 \, \text{cm} \) before the
convergence point. What is the new image distance?
Explanation
**Human eye** least distance D=25 cm, near point, far point infinity for normal eye, accommodation by ciliary muscles changing lens curvature, power ≈60 D total. Defects: myopia far point <∞ corrected by diverging lens, hypermetropia near point >25 cm corrected by converging lens, astigmatism cylindrical lens. Object distance: u = -10 cm (virtual object), f = 15 cm . Lens formula: (1/v) - (1/-10) = (1/15) ⇒ (1/v) + (1/10) = (1/15) . (1/v) = (1/15) - (1/10) = (2 - 3/30) = (-1/30) . v = -30 cm (30 cm to the left). Substituting values gives 30 cm, which matches expected image position and
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