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

Step-by-step solution

Velocity of light waves in material is v= v (i) Refractive index of material is = c v (ii) where c is speed of light in vacuum or air. or = c v (iii) Given, v=2 10¹⁴ ~Hz , aligned & =5000 Å=5000 10⁻¹⁰ ~m , c & =3 10^8 ~m / s aligned Hence, from Eq. (iii), we get = 3 10^8 2 10¹⁴ 5000 10⁻¹⁰ =3.00