Question

If $r$ is the radius of the first orbit, the radius of nth orbit of H-atom is given by

• A. $r{n}^2$
• B. $m$
• C. $\frac{r}{n}$
• D. $r^2{n}^2$

Answer 1

Answer: (A)

Radius of an orbit,
$I_n=\frac{n^2{h}^2}{4{\pi }^{2}m{\theta }^{2}Z}=\frac{0.529n^2}{Z}\mathring{A}$
For H-atom, $Z=1$
If $I_1=r$ (according to question $z_1=r$ )
$\therefore I_n=\frac{r\times n^2}{1}=m^2$