Three energy levels P, Q, R of a certain atom are such that EP < EQ < ER. If λ1, λ2 and λ3 are the wave length of radiation corresponding to transition R → Q ; Q → P and R → P respectively. The correct relationship between λ1, λ2 and λ3 is

Engineering

Chemistry

Hydrogen Spectrum

Bohrs Model for Hydrogen Atom

Question

Three energy levels P, Q, R of a certain atom are such that E_P < E_Q < E_R. If λ₁, λ₂ and λ₃ are the wave length of radiation corresponding to transition R → Q ; Q → P and R → P respectively. The correct relationship between λ₁, λ₂ and λ₃ is

$\frac{1}{λ_{3}} = \frac{1}{λ_{1}} + \frac{1}{λ_{2}}$

λ₁ + λ₂ + λ₃

$\frac{2}{λ_{3}} = \frac{1}{λ_{1}} + \frac{1}{λ_{2}}$

$λ_{3} = \sqrt{λ_{1} λ_{2}}$

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${ΔE}_{RP} = {ΔE}_{RQ} + {ΔE}_{QP}$

$\frac{hc}{λ_{3}} = \frac{hc}{λ_{1}} + \frac{hc}{λ_{2}}$

$\frac{1}{λ_{3}} = \frac{1}{λ_{1}} + \frac{1}{λ_{2}}$