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For an object 25 cm from a converging lens of focal length 10 cm, the image forms at v ≈ 16.7 cm. If the object height is 5 cm, what is the height of the image?
AAbout −3.3 cm
BAbout +5.0 cm
CAbout −7.5 cm
DAbout −1.7 cm
Answer & Solution
Correct answer: A. About −3.3 cm
1. Magnification $M = \frac{v}{u} = \frac{16.7}{-25} \approx -0.67$.
2. Image height $h_2 = M \times h_1 = (-0.67)(5)$.
3. $h_2 \approx -3.3$ cm; the negative sign confirms a real, inverted, diminished image. Using |M|>1 would wrongly enlarge it.
_Source: Balbharati (Maharashtra Board) Class 10 Science & Technology, Ch 7 "Lenses", p.101_
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