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Science (086) — CBSE Class 10 board question

Q1. [1] § 9.3.4 Image Formation by Lenses § 9.3.5 Image Formation in Lenses Using Ray Diagrams § 9.3.6 Sign Convention for Spherical Lenses
A convex lens of focal length 15 cm, is forming a real image. If the size of image is same as the size of object, then position of object and position of image will be, respectively :
  1. A – 15 cm and – 15 cm from lens
  2. B – 15 cm and + 15 cm from lens
  3. C – 30 cm and + 30 cm from lens
  4. D – 30 cm and – 30 cm from lens
Previously asked in CBSE board exam
2026 31/1/1 Q30
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Model Answer

Option C – –30 cm and +30 cm from lens

When image size equals object size for a convex lens (f = 15 cm), the object must be placed at 2F₁, i.e., –30 cm, and the image forms at 2F₂, i.e., +30 cm from the lens.

Explanation

From Table 9.4 (Chapter 9): when object is placed at 2F₁, the image forms at 2F₂ and is of the same size, real and inverted. Since f = 15 cm, 2f = 30 cm. Using sign convention, object distance = –30 cm (left side) and image distance = +30 cm (right side). Option D is wrong because +30 and –30 would place both on the same side, which is incorrect for a real image.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.