Which of the following species has the same r | vedclass

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(B) The radius of a hydrogen-like species is given by the formula: $r_n = a_0 	imes \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is the principa

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$Be^{3+}, n = 2$

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(B) The radius of a hydrogen-like species is given by the formula: $r_n = a_0 	imes \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is the principal quantum number,and $Z$ is the atomic number.For a hydrogen atom in the $n = 1$ state,$r = a_0 	imes \frac{1^2}{1} = a_0$.We need to find a species where $\frac{n^2}{Z} = 1$,which implies $n^2 = Z$.For $Be^{3+}$ $(Z = 4)$,$n^2 = 4$,so $n = 2$.Thus,for $Be^{3+}$ with $n = 2$,the radius is $a_0 	imes \frac{2^2}{4} = a_0$.

Which of the following species has the same radius as that of the hydrogen atom in the $n = 1$ state?

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