First slide

Bohr Model of the Hydrogen atom.

Question

The radius of the Bohr orbit in the ground state of hydrogen atom is 0.5 $\overset{0}{A}$ . The radius of the orbit of the electron in the third excited state of He⁺ will be

Moderate

A

8 A⁰
B

4 A⁰
C

0.5 A⁰
D

0.25 A⁰

Solution

$r_{n} = (0.53 {\overset{o}{A}}^{2}) \frac{n^{2}}{Z}; ∴ \frac{r_{1}}{r_{2}} = {(\frac{n_{1}}{n_{2}})}^{2} (\frac{Z_{2}}{Z_{1}}) ∴ \frac{0.5 \overset{o}{A}}{r_{2}} = {(\frac{1}{4})}^{2} (\frac{2}{1}); ∴ r_{2} = 4 \overset{o}{A}$

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