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Question: The Rydberg constant R for hydrogen is....

The Rydberg constant R for hydrogen is.

A

R=−(14πε0).2π2me2ch2R = - \left( \frac{1}{4\pi\varepsilon_{0}} \right).\frac{2\pi^{2}me^{2}}{ch^{2}}

B

R=(14πε0).2π2me4ch2R = \left( \frac{1}{4\pi\varepsilon_{0}} \right).\frac{2\pi^{2}me^{4}}{ch^{2}}

C

R=(14πε0)2.2π2me4c2h2R = \left( \frac{1}{4\pi\varepsilon_{0}} \right)^{2}.\frac{2\pi^{2}me^{4}}{c^{2}h^{2}}

D

R=(14πε0)2.2π2me4ch3R = \left( \frac{1}{4\pi\varepsilon_{0}} \right)^{2}.\frac{2\pi^{2}me^{4}}{ch^{3}}

Answer

R=(14πε0)2.2π2me4ch3R = \left( \frac{1}{4\pi\varepsilon_{0}} \right)^{2}.\frac{2\pi^{2}me^{4}}{ch^{3}}

Explanation

Solution

R=2π2k2e4mch3=(14πε0)22π2me4ch3R = \frac{2\pi^{2}k^{2}e^{4}m}{ch^{3}} = \left( \frac{1}{4\pi\varepsilon_{0}} \right)^{2}\frac{2\pi^{2}me^{4}}{ch^{3}}