Question

The ratio between total acceleration of the electron in singly ionized helium atom and hydrogen atom (both in ground state) is

• A. 1
• B. 8
• C. 4
• D. 16

Answer 1

The correct option is B 8

Acceleration $a\infty \frac{v}{r^2}$
where $v\infty \frac{Z}{n}$ and $r\infty \frac{n^2}{Z}\Rightarrow a\infty \frac{Z^3}{n^4}$
Since both are in ground state i.e., n = 1
so $a\infty Z^3\Rightarrow \frac{a_{H{e}^{+}}}{a_H}=\left(\frac{Z_{H{e}^{+}}}{Z_H}\right)={\left(\frac{2}{1}\right)}^3=\frac{8}{1}$.