The radius of which of the following orbit is same as that of the first Bohr's orbit of hydrogen atom

Question

$\begin{array}{1 1}(a)\;He^+(n=2)&(b\;Li^{2+}(n=2)\\(c)\;Li^{2+}(n=3)&(d)\;Be^{3+}(n=2)\end{array}$

Answer 1

$r_2Be^{3+}=\large\frac{r_2H}{z}$

$\Rightarrow \large\frac{r_1H\times 2^2}{z}$

$\Rightarrow \large\frac{r_1H\times 4}{4}$

$\Rightarrow r_1H$

Hence (d) is the correct answer.