The Rydberg constant R for hydrogen is - Vidyadip

MCQ

The Rydberg constant $R$ for hydrogen is

A
$R = - \left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right).\frac{{2{\pi ^2}m{e^2}}}{{c{h^2}}}$
B
$R = \left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right).\frac{{2{\pi ^2}m{e^4}}}{{c{h^2}}}$
C
$R = {\left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right)^2}.\frac{{2{\pi ^2}m{e^4}}}{{{c^2}{h^2}}}$
✓
$R = {\left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right)^2}.\frac{{2{\pi ^2}m{e^4}}}{{c{h^3}}}$

✓

Answer

Correct option: D.

$R = {\left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right)^2}.\frac{{2{\pi ^2}m{e^4}}}{{c{h^3}}}$

d
(d)$R = \frac{{2{\pi ^2}{k^2}{e^4}m}}{{c{h^3}}} = {\left( {\frac{1}{{4\pi {\varepsilon _0}}}} \right)^2}\frac{{2{\pi ^2}m{e^4}}}{{c{h^3}}}$

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