The ratio of the areas within the electron orbits for the first excited state to the ground state fo — Atomic Structure Chemistry Question
Question
The ratio of the areas within the electron orbits for the first excited state to the ground state for the hydrogen atom is
Answer: D
💡 Solution & Explanation
Area of an orbit is proportional to $r^2$. Since $r \propto n^2$, Area $\propto (n^2)^2 = n^4$. For the first excited state ($n=2$) and ground state ($n=1$), the ratio is $2^4 : 1^4 = 16:1$. Therefore, correct answer is D.
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