Question

Which state of triply ionized beryllium (be+++) has the same orbital radius as that of the ground state of hydrogen?

Answer 1

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Answer 2

The Second state of triply ionized beryllium has the same orbital radius as that of the ground state of hydrogen.

• Radius of the orbit is denoted by formula $r\alpha \frac{n^2}{Z}$
• In case of hydrogen, Z = 1, and n = 1 in ground state. Thus

$\frac{n^2}{Z}$ = $\frac{1^2}{1} = 1$

• In case of berylium, Z = 4, and radius is as same as hydrogen, it is

$n^2 = 1\times Z = 1\times 4 = 4$

$n = \sqrt{4 } = 2$

• As the value for 'n' for beryllium is obtained as 2, it can be inferred that 2 state has same orbital radius as that of the ground state of hydrogen.

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