Board Formulas

Board Exam Tips

  • →Ray diagrams — six standard positions for concave mirror & convex lens. Marks depend on labels.
  • →Sign convention: distances measured from pole/optical centre; incident ray direction is +.
  • →Mirror formula 1/v + 1/u = 1/f — plug values with correct sign; convex mirror ⇒ f positive, concave ⇒ f negative.
  • →Snell's law + refractive index + numerical (n = c/v) — regular 3-mark question.
  • →Distinguish real vs virtual image with a table (position, nature, size).

Diagram

Formulas(9)

Solved Examples

1Solved Exampleeasy5 steps

An object is placed 30 cm in front of a concave mirror of focal length 10 cm. Find the position and nature of the image.

1

Apply sign convention (u negative, f negative for concave)

2Solved Exampleboard3 steps

The refractive index of glass with respect to air is 1.5. Find the speed of light in glass. (c = 3×10⁸ m/s)

1

Absolute refractive index

3Solved ExampleHOTS5 steps

A convex lens forms a real image three times the size of the object at a distance of 60 cm from the lens. Find the focal length of the lens.

1

Real image ⇒ v positive (converging lens convention); m = −3

Traps & Common Mistakes

Common Mistakes6
  • 1

    Ignoring sign convention

    ✓Always measure distances from pole/optical centre and take incident ray direction as positive. Concave mirror: f negative. Convex mirror: f positive.

  • 2

    Using mirror formula for lens (sign of 1/u)

    ✓Mirror: 1/v + 1/u = 1/f. Lens: 1/v − 1/u = 1/f. The minus sign matters.

  • 3

    Reporting refractive index less than 1 for glass or water

    ✓Absolute n = c/v ≥ 1 always. n<1 is possible only between two media (relative n).

  • 4

    Confusing power of lens with focal length

    ✓P = 1/f in metres, unit dioptre. A convex lens of f = 25 cm has P = +4 D, not +25.

  • 5

    Drawing ray diagrams without labels

    ✓Every ray diagram needs: incident ray, refracted/reflected ray, principal axis, F, C, image position, arrows. Missing labels cost marks.

  • 6

    Assuming image is virtual because it is on the same side

    ✓For a mirror, image on same side as object (in front) is REAL; behind mirror is virtual.

Practice Yourself

Practice Yourself6 questions
  1. Q1

    State the two laws of reflection of light.

  2. Q2

    An object is placed at 20 cm from a convex lens of focal length 10 cm. Find v and m.

  3. Q3

    Refractive index of water is 4/3. Find the speed of light in water.

  4. Q4

    A concave lens has focal length 25 cm. Find its power.

  5. Q5

    State any two uses of a concave mirror.

  6. Q6

    An object 5 cm high placed at 30 cm from a convex mirror of f = 15 cm. Find image position and height.

Notes

Light — Reflection and Refraction (Maharashtra SSC)

Maharashtra SSC Science-1 covers light in two chapters: Refraction of Light (Ch 6) and Lenses (Ch 7). Reflection and the mirror formula are revised from Std IX. This page covers all of them; see the Lenses chapter for the full lens treatment.

Reflection — types and rules

  • Regular: on smooth surface (mirror). Clear image.
  • Diffuse: on rough surface (paper). No image, just brightness.

Both obey the same two laws.

Spherical mirror image table (concave)

Object positionImage positionNature
At infinityAt FReal, inverted, highly diminished
Beyond CBetween F and CReal, inverted, diminished
At CAt CReal, inverted, same size
Between C and FBeyond CReal, inverted, magnified
At FAt infinityReal, inverted, highly magnified
Between F and PBehind mirrorVirtual, erect, magnified

Convex mirror always gives virtual, erect, diminished image regardless of object position.

Refraction — bending of light

Light bends when it enters a medium of different optical density:

  • Denser medium ⇒ ray bends toward normal.
  • Rarer medium ⇒ ray bends away from normal.

Total internal reflection (SSC favourite)

When light goes from denser to rarer medium at angle greater than the critical angle, all light is reflected back. Applications: mirage, sparkle of diamond, optical fibre.

Lenses — quick rules

  • Convex (converging) — positive f, positive P.
  • Concave (diverging) — negative f, negative P.
  • Ray parallel to axis after refraction passes through F (convex) or appears to come from F (concave).
  • Ray through optical centre goes undeviated.

Board vs CBSE

CBSE combines reflection and refraction into a single Class 10 chapter. Maharashtra splits them, but the physics is the same. Master ray-diagram conventions and the sign of u, v, f — half of your marks depend on it.

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