Bohr's atom model

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Question

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

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Solution

$Acceleration a \propto \frac{v^{2}}{r}$
$where v \propto \frac{Z}{n} and r \propto \frac{n^{2}}{z} \Rightarrow a \propto \frac{Z^{3}}{n^{4}}$
Since both area in ground state i.e, n = 1
$so a \propto Z^{3} \Rightarrow \frac{a_{{He}^{+}}}{a_{H}} = {(\frac{Z_{{He}^{+}}}{Z_{H}})}^{3} = {(\frac{2}{1})}^{3} = \frac{8}{1}$

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Bohr's atom model

Remember concepts with our Masterclasses.

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

Acceleration a∝v2r where v∝Zn and r∝n2z⇒a∝Z3n4Since both area in ground state i.e, n = 1 so a∝Z3⇒aHe+aH=ZHe+ZH3=213=81

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