Q29 / 201 · NTA Abhyas (NEET) 2020 · Physics · Atomic Physics

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

A
$1$
Correct answer
B
$8$
C
$4$
D
$16$

Solution

Required acceleration is given by centripetal acceleration.

\Rightarrow

a = \frac{v^{2}}{r}

\Rightarrow

a \propto \frac{{(z)}^{2}}{(\frac{1}{z})}

a \propto z^{3}

∴ \frac{a_{1}}{a_{2}} = {(\frac{2}{1})}^{3} = 8

Hence, the correct answer is option: 'B'.

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