Correct answer: 1.50
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.