Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Atoms

Question:

Which state of triply ionised Baryllium (Be+++) has the same orbital radius as that of the ground state of hydrogen

Options:

n = 4

n = 3

n = 2

n = 1

Correct Answer:

n = 2

Explanation:

Radius of nth orbit for any hydrogen like atom

$r_n=r_0\left(\frac{n^2}{Z}\right)$ ($r_0$ radius of first orbit of H2 - atom)

If $r_n=r_0 \Rightarrow n=\sqrt{Z}$. For $B e^{++1}, Z=4 \Rightarrow n = 2$