Wednesday, June 24, 2026
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Chapter 10: Nature and Propagation of Light

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10.1 Huygen’s Principle

  • Definition: Every point on a wavefront acts as a secondary source of spherical wavelets. The new wavefront is the envelope of these wavelets.
  • Applications:
    • Explains reflection and refraction of light
    • Explains diffraction

Example: Plane wavefront striking a glass surface → secondary wavelets form the refracted wavefront inside glass.

10.2 Reflection and Refraction (Wave Theory)

Reflection:

  • Angle of incidence = angle of reflection
  • Wavefronts maintain shape, direction changes

Refraction:

  • Light changes speed in new medium → direction bends
  • Snell’s law (wave theory):
image 1

i = angle of incidence, r = angle of refraction, v = wave velocity, λ = wavelength

Key points:

  • Frequency (f) remains constant
  • Wavelength (λ) changes in medium
  • Velocity (v) changes in medium

Example: Light enters glass (n ≈ 1.5), speed in air 3 × 10⁸ m/s → speed in glass:

image 6

Important Short Questions and Answers in Short

Q1. State Huygen’s principle.
👉 Every point on a wavefront acts as a secondary source; new wavefront = envelope of wavelets.

Q2. What phenomena can Huygen’s principle explain?
👉 Reflection, refraction, diffraction.

Q3. Angle of incidence = ?
👉 Angle of reflection (law of reflection)

Q4. What changes and remains constant during refraction?

  • Frequency f = constant
  • Wavelength λ = changes
  • Velocity v = changes

Formula Sheet (Quick Revision)

image 9

Numerical Examples

Example 1: Snell’s Law – Refraction at glass surface

image 7

Example 2: Wavelength change in medium

Problem: Light of wavelength λ=600 nm in air enters water (n = 1.33). Find wavelength in water.

image 8

Example 3: Speed of light in different medium

image 5

Example 4: Angle of refraction using velocity ratio

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