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TS EAMCET · Physics · Atomic Physics

In hydrogen atom spectra, if the ratio of wavelengths corresponding to the first of Lyman series and the first line of Balmer series is \(9 \alpha\), the value of \(\alpha\) is

  1. A 0.5
  2. B 0.8
  3. C 0.6
  4. D 0.021
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Answer & Solution

Correct Answer

(D) 0.021

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Detailed explanation

\(\frac{1}{\lambda_2}=R\left(\frac{1}{2^2}-\frac{1}{3^2}\right)\)According to Bohr, the wavelength emitted when an electron jumps from \(n_1\) th to \(n_2\) th orbit is given as \(\frac{1}{\lambda}=R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)\) For first line of Lyman series,…
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