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JEE Main 20172 April
Exam
JEE Main
Year
2017
Date
2 April
Subject
Physics
Chapter
Atomic Physics

JEE Main 2017 · 2 April · Physics · Atomic Physics

Some energy levels of a molecule are shown in the figure. The ratio...

Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r=λ1λ2r = \dfrac{{\lambda}_{1}}{{\lambda}_{2}}, is given by:

Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r = λ _ 1 λ _ 2 , is given by:

Options

  1. Ar=13r = \dfrac{1}{3}
  2. Br=43r = \dfrac{4}{3}
  3. Cr=23r = \dfrac{2}{3}
  4. Dr=34r = \dfrac{3}{4}

Correct answer

A. r=13r = \dfrac{1}{3}

Step-by-step solution

The relation between wave length and energy of electron in nth{n}^{th} orbit

λ1=−hcE{\lambda}_{1} = \dfrac{- hc}{E}
λ2=−3hcE{\lambda}_{2} = \dfrac{- 3hc}{E}
λ1λ2=13\dfrac{{\lambda}_{1}}{{\lambda}_{2}} = \dfrac{1}{3}
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