Question

Energy levels A, B, C of a certain atom corresponding values of energy i.e. E_A < E_B < E_C If λ₁, λ₂, λ₃ are wave lengths of radiation corresponding to the transition C → B, B → A and C → A. which of the following is correct

(A) λ₃² = λ₁² + λ₂²

(B) λ₃ = λ₁ + λ₂

(C) λ₃ = [(λ₁λ₂) / (λ₁ + λ₂)] 

(D) λ₁ + λ₂ + λ₃ = 0

Answer 1

The correct option is (C) λ₃ = [(λ₁λ₂) / (λ₁ + λ₂)].

Explanation:

From diagram, 

Sum of energies for transitions C to B and B to A is equal to energy for transition from C to A. 

Energies and frequency are additive whereas wavelength is inversely proportional to frequency