Question

According to Bohr?? theory, which of the following correctly represents the variation of energy and radius of an electron in n orbit of H-atom?

• A. $E_{n}\propto\frac{1}{n^{2}}, r \propto\frac{1}{n^{2}}$
• B. $E_{n}\propto\frac{1}{n^{2}}, r \propto n^{2}$
• C. $E_{n}\propto n^{2}, r \propto n^{2}$
• D. $E_{n}\propto n^{2}, r \propto\frac{1}{n}$

Answer 1

Answer: (B)

$E_{n}\propto\frac{1}{n^{2}}, r \propto n^{2}$

Answer 2

According to Bohr?? theory, $r=\frac{n^{2}h^{2}}{4\pi^{2}mZe^{2}k}$ and $E_{n}=\frac{-k^{2}2\pi^{2}mZ^{2}e^{4}}{n^{2}h^{2}}$