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Science — CBSE Class 10 board question

Q1. [1]
At what distance from a convex lens should an object be placed to get an image of the same size as that of the object on a screen ?
  1. (a) Beyond twice the focal length of the lens.
  2. (b) At the principal focus of the lens.
  3. (c) At twice the focal length of the lens.
  4. (d) Between the optical centre of the lens and its principal focus.
Previously asked in CBSE board exam
2024 31/1/1 Q12
Generated by claude-sonnet-4-6 · 2026-06-15 06:51 · grounding rag
Model Answer

(c) At twice the focal length of the lens.

When the object is placed at 2f, the image formed is real, inverted, and of the same size as the object, also at 2f on the other side.

Explanation

This is a standard ray-optics result for a convex lens. At u = 2f, magnification m = v/u = 1, giving an equal-sized image. Exercise Q.3 in the source directly confirms option (b) "At twice the focal length" as the correct answer. Don't confuse this with the principal focus (which gives an image at infinity).

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