SATHEE: Atoms And Nuclei Question 428

Atoms And Nuclei Question 428

Question: The Rydberg constant R for hydrogen is

Options:

A) $R = - (\frac{1}{4 π ε_{0}}) . \frac{2 π^{2} m e^{2}}{c h^{2}}$

B) $R = (\frac{1}{4 π ε_{0}}) . \frac{2 π^{2} m e^{4}}{c h^{2}}$

C) $R = {(\frac{1}{4 π ε_{0}})}^{2} . \frac{2 π^{2} m e^{4}}{c^{2} h^{2}}$

D) $R = {(\frac{1}{4 π ε_{0}})}^{2} . \frac{2 π^{2} m e^{4}}{c h^{3}}$

Show Answer

Answer:

Correct Answer: D

Solution:

$R = \frac{2 π^{2} k^{2} e^{4} m}{c h^{3}} = {(\frac{1}{4 π ε_{0}})}^{2} \frac{2 π^{2} m e^{4}}{c h^{3}}$

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