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JEE Main 20199 AprilMorning Shift
Exam
JEE Main
Year
2019
Date
9 April
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2019 · 9 April · Morning Shift · Physics · Atomic Physics

Taking the wavelength of first Balmer line in hydrogen spectrum ( n...

Taking the wavelength of first Balmer line in hydrogen spectrum (n=3( n = 3 to n=2)n = 2 ) as 660nm660nm , the wavelength of the 2nd{2}^{nd} Balmer line (n=4( n = 4 to n=2)n = 2 ) will be :

Options

  1. A889.2nm889.2nm
  2. B488.9nm488.9nm
  3. C388.9nm388.9nm
  4. D642.7nm642.7\text{nm}

Correct answer

B. 488.9nm488.9nm

Step-by-step solution

From Rydberg’s equation,
1λ=\dfrac{1}{\lambda} =R\left(\dfrac{1}{{n}^{2}} - \dfrac{1}{{n}_{2}^{2}}\right)<br/><br/>\dfrac{1}{660 \times {10}^{- 9}} = R(122−132)R\left(\dfrac{1}{{2}^{2}} - \dfrac{1}{{3}^{2}}\right)
1λ=\dfrac{1}{\lambda} =R\left(\dfrac{1}{{2}^{2}} - \dfrac{1}{{4}^{2}}\right)<br/><br/>\dfrac{\lambda}{600 \times {10}^{- 9}} = \dfrac{5}{9 \times 4} \times \dfrac{16 \times 4}{12}<br/><br/>\lambda = 488.9nm
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