Q. The Rydberg constant $R$ for hydrogen is
A) $R = - \left( \frac{1}{4\pi\varepsilon_{0}} \right).\frac{2\pi^{2}me^{2}}{ch^{2}}$
B) $R = \left( \frac{1}{4\pi\varepsilon_{0}} \right).\frac{2\pi^{2}me^{4}}{ch^{2}}$
C) $R = \left( \frac{1}{4\pi\varepsilon_{0}} \right)^{2}.\frac{2\pi^{2}me^{4}}{c^{2}h^{2}}$
D) $R = \left( \frac{1}{4\pi\varepsilon_{0}} \right)^{2}.\frac{2\pi^{2}me^{4}}{ch^{3}}$
Explanation
(d) $R = \frac{2\pi^{2}k^{2}e^{4}m}{ch^{3}} = \left( \frac{1}{4\pi\varepsilon_{0}} \right)^{2}\frac{2\pi^{2}me^{4}}{ch^{3}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.