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NCERT Class 10 Science Light – Reflection and Refraction: In-text questions (page 145) Solutions

AI-written, checked on 23 Oct 2026

Solutions written by Shishya, checked — not the board's official answers

Step-by-step working for every question of In-text questions (page 145) in NCERT's Class 10 Science book, chapter “Light – Reflection and Refraction”, written by Shishya. Each question is in our own short words; open the NCERT chapter for the exact wording and figures.

How these were checked: the solutions were drafted with AI and then read and corrected on 23 Oct 2026. Every numerical final answer is recomputed from the question's own numbers by a calculator check that runs before each release; proofs and explanations were read, not machine-checked. The NCERT textbook is the authority — if something here disagrees with it, follow the book.

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  1. In-text (page 145) Q1

    Find the focal length of a convex mirror whose radius of curvature is 32 cm.

    1. The radius of curvature (R) of the mirror is given as 32 cm.
      why?

      For a spherical mirror the focal length is half the radius of curvature: f = R/2.

    2. For a spherical mirror, the focal length (f) is half of the radius of curvature.
      why?

      For a spherical mirror the focal length is half the radius of curvature: f = R/2.

    3. Using the relation f = R / 2, we substitute the value of R.
      why?

      For a spherical mirror the focal length is half the radius of curvature: f = R/2.

    4. f = 32 cm / 2.
    5. f = 16 cm.

    Answer: 16 cm

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  2. In-text (page 145) Q2

    A concave mirror gives a real image three times the size of an object placed 10 cm in front of it. Where is the image?

    1. Given: object distance u = -10 cm, magnification m = -3 (real image is inverted).
      why?

      Magnification m = height of image ÷ height of object (= −v/u for a mirror, v/u for a lens). A negative m means a real, inverted image; a positive m a virtual, erect one.

    2. Use the magnification formula m = -v/u.
      why?

      Magnification m = height of image ÷ height of object (= −v/u for a mirror, v/u for a lens). A negative m means a real, inverted image; a positive m a virtual, erect one.

    3. Substitute values: -3 = -v / (-10).
    4. Simplify: -3 = v / 10.
    5. Solve for v: v = -30 cm.
    6. The negative sign indicates the image is formed in front of the mirror.

    Answer: v = -30 cm; 30 cm in front of the mirror

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