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

Answer

8

Explanation

Acceleration `a prop v^2/r`
where `v prop Z/n and r prop n^2/Z implies a prop Z^3/n^4`
Since both are in ground state i.e., n = 1
so `a prop Z^3 implies a_(He^(+))/(a_H)=(Z_(He^(+))/(Z_H))^3 = (2/1)^3 = 8/1`