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Science — CBSE Class 10 board question

Q1. [1]
To get an image of magnification –1 on a screen using a lens of focal length 20 cm, the object distance must be :
  1. (a) Less than 20 cm
  2. (b) 30 cm
  3. (c) 40 cm
  4. (d) 80 cm
Previously asked in CBSE board exam
2025 31/4/1 Q10
Generated by claude-sonnet-4-6 · 2026-06-15 06:50 · grounding rag
Model Answer

(c) 40 cm

For magnification $m = -1$, we need $v/u = -1$, so $v = -u$. Using lens formula with $f = 20$ cm and $u = -40$ cm gives $v = +40$ cm. ✓

Explanation

Magnification $m = v/u = -1$ means the image is real, inverted, and same size — object must be at $2f$. Since $f = 20$ cm, object distance $= 2 \times 20 = 40$ cm. According to Table 9.4, when object is at $2F_1$, image is at $2F_2$, same size, real and inverted ($m = -1$). Option (c) is correct.

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