Question

lionization energy of hydrogen atom is 13.6 $ \text{eV}\text{.}\,\text{If}\,\text{h=6}\text{.6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-34}\,}}\text{Joule-sec,} $ then value of R (Rydberg constant) will be:

• A. $ {{10}^{10}} $ per metre
• B. $ {{10}^{7}} $ per metre
• C. $ {{10}^{4}} $ per metre
• D. $ {{10}^{-7}} $ per metre

Answer 1

Answer: (B)

Rydberg constant $ R=-\frac{E}{ch} $ $ =-\frac{13.6\times 1.6\times {{10}^{-19}}}{3\times {{10}^{8}}\times 6.6\times {{10}^{-34}}} $ $ ={{10}^{7}} $ per metre