If levels 1 and 2 are separated by an energy E₂-E₁ , such that the corresponding transition frequency falls in the middle of the visible range, calculate the ratio of the populations of two levels in the thermal equilibrium at room temperature.

Step-by-step solution

At thermal equilibrium, the ratio N₂ N₁ is given as N₂ N₁ = (- E₂-E₁ k T ) The middle of the visible range is taken at array ll =550 ~nm & E₂-E₁= h c =3.16 10⁻¹⁹ ~J & N₂ N₁ = ( -3.16 10⁻¹⁹ ~J (1.38 10⁻²³ 1 / k ) (300 k ) ) & N₂ N₁ =1.1577 10⁻³⁸ array