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TS EAMCET · Chemistry · Structure of Atom

The wavelength of second line of Balmer series of hydrogen atom is \(\lambda \mathrm{nm}\). What is the wavelength of first line of Lyman series of \(\mathrm{He}^{+}\)ion (in \(\mathrm{nm}\) )?

  1. A \(\frac{\lambda}{16}\)
  2. B \(\frac{16}{\lambda}\)
  3. C \(\frac{16}{3 \lambda}\)
  4. D \(\frac{3 \lambda}{16}\)
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Answer & Solution

Correct Answer

(A) \(\frac{\lambda}{16}\)

Step-by-step Solution

Detailed explanation

\[ \frac{1}{\lambda}=\mathrm{R}\left[\frac{1}{\mathrm{n}_1{ }^2}-\frac{1}{\mathrm{n}_2{ }^2}\right] \] For the second line of Balmer series of \(\mathrm{H}\)-atom:-…