Question

The ratio of total acceleration of the electron in singly ionized helium atom and hydrogen atom according to Bohr model (both in ground state) is:

• A. $1$
• B. $8$
• C. $4$
• D. none of these

Answer 1

The correct option is B $8$

$a=\frac{V^2}{r}$

$a\propto \frac{Z^2}{1/Z}ora\propto Z^3$

$\Rightarrow \frac{a_1}{a_2}={\left[\frac{2}{1}\right]}^3=8$