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: