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2. structure of atom — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry2. structure of atom1 Mark
MCQ
The wavelength of $H_{\alpha }$ line of Balmer series is $X\,\mathop A\limits^o $ . What is the wavelength of $H_{\beta }$ line of Balmer series ?
  • A
    $X\,\frac{{108}}{{80}}\mathop A\limits^o $
  • ✓
    $X\,\frac{{80}}{{108}}\mathop A\limits^o $
  • C
    $\frac{1}{X}\,\frac{{80}}{{108}}\mathop A\limits^o $
  • D
    $\frac{1}{X}\,\frac{{108}}{{80}}\mathop A\limits^o $
✓

Answer

Correct option: B.
$X\,\frac{{80}}{{108}}\mathop A\limits^o $
b
$\frac{1}{\lambda}=\mathrm{Rz}^{2}\left[\frac{1}{2^{2}}-\frac{1}{3^{2}}\right].........(1)$

$\frac{1}{\lambda_{p}}=\mathrm{Rz}^{2}\left[\frac{1}{2^{2}}-\frac{1}{4^{2}}\right].........(2)$

$\frac{\mathrm{eq}(1)}{\mathrm{eq}(2)} \Rightarrow \quad \frac{\lambda_{\mathrm{p}}}{\lambda}=\frac{80}{108}$

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