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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Physics
Chapter
Atomic Physics

BITSAT 2011 · Physics · Atomic Physics

The energies of energy levels A, B and C for a given atom are in...

The energies of energy levels A,B\mathrm{A}, \mathrm{B} and C\mathrm{C} for a given atom are in the sequence EA<EB<EC\mathrm{E}_{\mathrm{A}}< \mathrm{E}_{\mathrm{B}}< \mathrm{E}_{\mathrm{C}}. If the radiations of wavelengths λ1,λ2\lambda_{1}, \lambda_{2} and λ3\lambda_{3} are emitted due to the atomic transitions C\mathrm{C} to B,B\mathrm{B}, \mathrm{B} to A and CC to A respectively then which of the following relations is correct?

Options

  1. Aλ1+λ2+λ3=0\lambda_{1}+\lambda_{2}+\lambda_{3}=0
  2. Bλ3=λ12+λ2\lambda_{3}=\lambda_{1}^{2}+\lambda_{2}
  3. Cλ3=λ1+λ2\lambda_{3}=\lambda_{1}+\lambda_{2}
  4. Dλ3=λ1λ2λ1+λ2\lambda_{3}=\frac{\lambda_{1} \lambda_{2}}{\lambda_{1}+\lambda_{2}}

Correct answer

D. λ3=λ1λ2λ1+λ2\lambda_{3}=\frac{\lambda_{1} \lambda_{2}}{\lambda_{1}+\lambda_{2}}

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