MCQ
The Rydberg constant $R$ for hydrogen is
  • A
    $R=-\left(\frac{1}{4 \pi \varepsilon_0}\right) \cdot \frac{2 \pi^2 m e^2}{c h^2}$
  • B
    $R=\left(\frac{1}{4 \pi \varepsilon_0}\right) \cdot \frac{2 \pi^2 m e^4}{c h^2}$
  • C
    $R=\left(\frac{1}{4 \pi \varepsilon_0}\right)^2 \cdot \frac{2 \pi^2 m e^4}{c^2 h^2}$
  • $R=\left(\frac{1}{4 \pi \varepsilon_0}\right)^2 \cdot \frac{2 \pi^2 m e^4}{c h^3}$

Answer

Correct option: D.
$R=\left(\frac{1}{4 \pi \varepsilon_0}\right)^2 \cdot \frac{2 \pi^2 m e^4}{c h^3}$
$ R=\frac{2 \pi^2 k^2 e^4 m}{c h^3}=\left(\frac{1}{4 \pi \varepsilon_0}\right)^2 \frac{2 \pi^2 m e^4}{c h^3}$

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