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The frequency of a light wave in a material is 2 × 10¹⁴ Hz and wavelength is 5000 Å. The refractive index of material will be

  1. 1.50
  2. 3.00
  3. 1.33
  4. 1.40

Correct answer: 1.50

Solution

The speed of light in the material is calculated using v = fλ, where f = 2 × 10¹⁴ Hz and λ = 5000 Å = 5 × 10⁻⁷ m. This gives v = (2 × 10¹⁴)(5 × 10⁻⁷) = 10⁸ m/s. The refractive index is n = c/v, where c = 3 × 10⁸ m/s. Thus, n = (3 × 10⁸) / (10⁸) = 1.5.

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