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ScienceCBSE Class 10 · Sample paper, session 2025-26 · 1 mark · Assertion-reason

CBSE Class 10 Science sample paper 2025-26: question 32

From the official CBSE sample question paper for 2025-26, section C, question 32, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q32 · 1 mark · Assertion-reasonCompetency-basedLight – Reflection and Refraction

The following question consists of two statements – Assertion (A) and Reason (R). Answer these questions by selecting the appropriate option given below:
A. Both A and R are true, and R is the correct explanation of A.
B. Both A and R are true, and R is not the correct explanation of A.
C. A is true but R is false.
D. A is false but R is true.

Assertion (A): A point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. The image will not form at infinity.
Reason (R): For above given system the equation gives .

  1. (A)Both A and R are true, and R is the correct explanation of A.
  2. (B)Both A and R are true, and R is not the correct explanation of A.
  3. (C)A is true but R is false.
  4. (D)A is false but R is true.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

Open one hint at a time and try again before the next.

Hint 1

For a convex mirror, the focal length is positive.

Hint 2

Substitute u = −26 cm into the mirror formula and solve for v.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. For a convex mirror, cm and cm.

  2. cm. A virtual image forms 13 cm behind the mirror, not at infinity.

  3. So A is true and R (which claims ) is false. Option (C).

    1 mark

Answer: Option (C)

Where the marks are

  • Uses the sign convention to get v = +13 cm and concludes A true, R false (1 mark)

Revise the chapter

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.