The ratio of the areas within the electron orbits for the first excited state to the ground state fo

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The ratio of the areas within the electron orbits for the first excited state to the ground state for the hydrogen atom is

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$\frac{A_{2}}{A_{1}} = \frac{\left( \pi r^{2} ight)_{2}}{\left( \pi r^{2} ight)_{1}} = \left( \frac{r_{2}}{r_{1}} ight)^{2} = \left( \frac{r_{1} 	imes 2^{2}}{r_{1}} ight)^{2} = \frac{16}{1}$

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