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CBSE Class 10 Science Chapter 10 — Light Reflection and Refraction: NCERT Solutions and MCQs 2027

CBSE ICSE board exam preparation study material

Last Updated: April 2026

Chapter 10 — Light: Reflection and Refraction is one of the highest-scoring chapters in CBSE Class 10 Science. In CBSE Board 2025, this chapter contributed 8–10 marks including numerical questions (3 marks) and conceptual questions. The chapter has a 100% appearance rate in board papers for the past 10 years. This complete guide covers every concept, diagram, formula, and 10 practice MCQs.

Laws of Reflection

When light falls on a surface and bounces back, it obeys two laws:

  1. The angle of incidence (∠i) equals the angle of reflection (∠r): ∠i = ∠r
  2. The incident ray, reflected ray, and normal all lie in the same plane.

Spherical Mirrors

Concave Mirror

A mirror with the reflecting surface curved inward (like the inside of a bowl).

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  • Used as: shaving/makeup mirror (object within F → virtual, magnified); dentist’s mirror; headlight reflectors; solar furnaces
  • Forms real, inverted images (when object beyond F); virtual, erect, magnified (when object between P and F)

Convex Mirror

A mirror with the reflecting surface curved outward.

  • Always forms virtual, erect, diminished images
  • Used as: rear-view (wing) mirrors in vehicles — wide field of view

Mirror Formula and Magnification

Mirror formula: 1/f = 1/v + 1/u

Where: f = focal length, v = image distance, u = object distance (all measured from pole P)

Sign Convention (New Cartesian):

  • Distances measured from pole P
  • Distances in the direction of incident light = POSITIVE
  • Distances opposite to incident light = NEGATIVE
  • Heights above principal axis = POSITIVE; below = NEGATIVE
  • For concave mirror: f is negative (f = −R/2)
  • For convex mirror: f is positive

Magnification: m = h’/h = −v/u

  • m > 0: image is virtual and erect
  • m < 0: image is real and inverted
  • |m| > 1: image is magnified; |m| < 1: image is diminished

Image Formation by Concave Mirror — Ray Diagram Table

Object Position Image Position Nature Size
At infinity (∞) At F (focus) Real, inverted Point size
Beyond C Between F and C Real, inverted Diminished
At C At C Real, inverted Same size
Between C and F Beyond C Real, inverted Magnified
At F At infinity Real, inverted Highly magnified
Between F and P Behind mirror Virtual, erect Magnified

Refraction of Light

Refraction is the bending of light when it passes from one medium to another due to a change in speed.

Laws of Refraction (Snell’s Law)

  1. The incident ray, refracted ray, and normal are all in the same plane.
  2. n₁ sin θ₁ = n₂ sin θ₂ (Snell’s Law)

Refractive Index

n = c/v (ratio of speed of light in vacuum to speed in medium)

n = sin θᵢ / sin θᵣ (when light goes from less dense to more dense medium)

Medium Refractive Index (n)
Air/Vacuum 1.0
Water 1.33
Glass 1.5
Diamond 2.42

Higher n = light bends more = optically denser medium

Lenses

Convex (Converging) Lens

  • Thicker at centre, thinner at edges
  • Focal length: POSITIVE
  • Uses: reading glasses (hypermetropia), microscopes, cameras, projectors

Concave (Diverging) Lens

  • Thinner at centre, thicker at edges
  • Focal length: NEGATIVE
  • Uses: spectacles for myopia (nearsightedness), peepholes

Lens Formula and Magnification

Lens formula: 1/f = 1/v − 1/u

Magnification: m = h’/h = v/u

Power of lens: P = 1/f (where f is in metres, P is in Diopters — D)

  • Convex lens: P is positive
  • Concave lens: P is negative
  • P = +2 D means f = 0.5 m = 50 cm

Image Formation by Convex Lens

Object Position Image Position Nature Size
At ∞ At F₂ Real, inverted Point size
Beyond 2F₁ Between F₂ and 2F₂ Real, inverted Diminished
At 2F₁ At 2F₂ Real, inverted Same size
Between F₁ and 2F₁ Beyond 2F₂ Real, inverted Magnified
At F₁ At ∞ Real, inverted ∞ size
Between O and F₁ Same side as object Virtual, erect Magnified

Important Numerical Problems

Problem 1: An object is placed 15 cm in front of a concave mirror of focal length 10 cm. Find image distance.
Solution: 1/f = 1/v + 1/u; u = −15 cm, f = −10 cm
1/v = 1/f − 1/u = 1/(−10) − 1/(−15) = −1/10 + 1/15 = (−3+2)/30 = −1/30
v = −30 cm (real, inverted image 30 cm in front of mirror)

Problem 2: A lens has focal length 25 cm. Find power.
P = 1/f (in m) = 1/0.25 = +4 D

Practice MCQs — CBSE Class 10 Chapter 10

Practice Quiz — 10 CLAT-Style Questions

Click an option to reveal the answer and explanation.

Common Board Exam Questions

  • State and explain the laws of reflection. (2 marks)
  • An object is placed 20 cm in front of a convex mirror of focal length 10 cm. Find image distance and magnification. (3 marks)
  • Draw a ray diagram for concave mirror when object is placed between focus and centre of curvature. (3 marks)
  • Explain why a convex mirror is preferred as a rear-view mirror. (2 marks)
  • A person uses spectacles of power −3.5 D. Find focal length and state the defect of vision. (3 marks)

Frequently Asked Questions (FAQ)

What is the difference between concave and convex lenses?

A concave (diverging) lens is thinner at the centre and thicker at the edges — it diverges light rays and has a negative focal length. Used for myopia (short-sightedness). A convex (converging) lens is thicker at the centre and thinner at edges — it converges light rays and has a positive focal length. Used for hypermetropia (long-sightedness). Remember: Concave = Cave-like = sunken = diverging.

How do I remember the mirror formula vs lens formula?

Mirror formula: 1/f = 1/v + 1/u (both terms add on right side). Lens formula: 1/f = 1/v − 1/u (subtraction on right side). A mnemonic: “Lens has a minus, mirror has a plus.” Always apply sign convention carefully: for mirrors, object distance u is negative (object in front); for lenses, the same applies. All focal lengths and distances use the New Cartesian sign convention.

Why does a stick appear bent when placed in water?

When light travels from water (denser, n=1.33) to air (rarer, n=1.0), it bends away from the normal (angle of refraction > angle of incidence). Our eyes perceive light as travelling in straight lines, so the stick appears to be at the position from which the refracted rays appear to come — above the actual position. This is why pools appear shallower than they are and the stick appears bent at the water surface.

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