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Question: The ratio between total acceleration of the electron in singly ionised helium atom and hydrogen atom...

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

A

1

B

8

C

4

D

16

Answer

8

Explanation

Solution

a = v2/r

\ a µ (Z)2(1/Z)\frac{(Z)^{2}}{(1/Z)} (for n = 1) or a µ Z3

\ a1a2\frac{a_{1}}{a_{2}} = (21)3\left( \frac{2}{1} \right)^{3} = 8