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A 5 cm tall object is placed 25 cm from a converging lens of focal length 10 cm. What are the image distance and the nature of the image?
A16.7 cm, virtual and erect
B−16.7 cm, virtual and erect
C7.1 cm, real and inverted
D16.7 cm, real and inverted
Answer & Solution
Correct answer: D. 16.7 cm, real and inverted
1. Sign convention: u = −25 cm, f = +10 cm.
2. $\frac{1}{v} = \frac{1}{u} + \frac{1}{f} = \frac{1}{-25} + \frac{1}{10} = \frac{-2 + 5}{50} = \frac{3}{50}$.
3. So v = 50/3 ≈ +16.7 cm.
4. The positive image distance means the image is real and inverted; a negative v would be needed for a virtual image.
_Source: Balbharati (Maharashtra Board) Class 10 Science & Technology, Ch 7 "Lenses", p.101_
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