Question

The ratio of the radii of the hydrogen atom and its nucleus is ~ 10⁵. If an atom is represented by planet earth ‘R_e ’ =$6.4\times {10}^6\text{m}$, estimate the size of the nucleus.

Answer 1

Step1. Formula for the size of nucleus

$r_n=\frac{r_e}{{10}^5}$

Here, $r_n$ is the size of the nucleus.

Step2. Calculation of size of the nucleus

$$\begin{gathered} r_n=\frac{6.4\times {10}^6\mathrm{m}}{{10}^5} \\ =64\text{m} \end{gathered}$$

Hence, the size of the nucleus is $64\text{m}$.