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Which state of triply ionised Baryllium \mathrm{\left ( Be^{+++} \right )} has the same orbital radius as that of the ground state of hydrogen

Option: 1

\mathrm{n= 4}


Option: 2

\mathrm{n= 3}


Option: 3

\mathrm{n= 2}


Option: 4

\mathrm{n= 1}


Answers (1)

best_answer

Radius of \mathrm{n^{\text {th }}} orbit for any hydrogen like atom

\mathrm{r_n=r_0\left(\frac{n^2}{Z}\right)\left(r_0=\right.\text{radius of first orbit of}\, H_2 -atom)}
If \mathrm{r_n=r_0 \Rightarrow n=\sqrt{Z}}. For \mathrm{B e^{+++}, Z=4 \Rightarrow n=2}.

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vishal kumar

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