The ratio between total acceleration of the e | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b) Acceleration $a \propto \frac{{{v^2}}}{r}$
where $v \propto \frac{Z}{n}$ and $r \propto \frac{{{n^2}}}{Z}$ ==> $a \propto \frac{{{Z^3}}}{{{n^4

Vedclass · Accepted Answer

$8$

Vedclass · Answer

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

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

Similar Questions

As an electron makes a transition from an excited state to the ground state of a hydrogen - like atom/ion

Which scientist gave plum pudding model of the atom ?

Which statement about the Rutherford model of the atom is not true?

When the accelerating voltage applied on the electrons increased beyond a critical value

The transition from the state $n = 3$ to $n = 1$ in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from