Question 446: Atoms & Nuclei

Question

The force acting on the electron in hydrogen atom (Bohr' theory) is related to the principle quantum number '$n$' as

Accepted Answer

The centripetal force of the rotating electron is given by $F=\frac{m v^2}{r}$
But, according to Bohr,
$\mathrm{v} \propto \frac{1}{\mathrm{n}}$ and $\mathrm{r} \propto \mathrm{n}^2$
i.e. $F \propto \frac{v^2}{r^2}$
$\Rightarrow \mathrm{F} \propto \frac{1}{\mathrm{n}^2 \mathrm{n}^2}$
$F \propto \frac{1}{n^4}$

Answer

$\mathrm{n}^4$

Answer

$\mathrm{n}^{-4}$

Answer

$\mathrm{n}^2$

Answer

$\mathrm{n}^{-2}$

Atoms & Nuclei

The force acting on the electron in hydrogen atom (Bohr' theory) is related to the principle quantum number 'n' as

Choose the correct answer: