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⚛️ Physics  ·  Electromagnetic Waves  ·  NEET & JEE

Derive the speed of light from Maxwell's equations: c = 1/√(μ_0ε_0). Given μ_0 = 4π×10⁻⁷ H/m and ε_0 = 8.85×10⁻¹² F/m. Calculate c.

Answer: 3 × 10⁸ m/s.

  • A 3 × 10⁸ m/s
  • B 1 × 10⁸ m/s
  • C 6 × 10⁸ m/s
  • D 1.5 × 10⁸ m/s

Correct answer: A. 3 × 10⁸ m/s

Explanation: c = 1/√(μ_0ε_0) = 1/√(4π×10⁻⁷ × 8.85×10⁻¹²) = 1/√(1.11×10⁻¹⁷) = 1/(3.33×10⁻⁹) ≈ 3×10⁸ m/s. This is how Maxwell first derived the speed of light.

Electromagnetic Wave: E ⊥ B ⊥ Direction of TravelpropagationE (electric field, vertical plane)B (magnetic field, horizontal plane, perpendicular to E)

In an electromagnetic wave, the oscillating electric field (E) and magnetic field (B) are perpendicular to each other and to the direction the wave travels - a purely transverse wave that needs no medium, unlike sound.

Concept context

Maxwell's equations, EM spectrum, properties, and applications of each band.

Read the full Electromagnetic Waves notes →