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

Options

A. `1`
B. `8`
C. `4`
D. `16`

Answer

B

Explanation

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