In two hydrogen atoms A and B, the electrons are revolving round the nucleus in circular orbits of r — Atomic Structure Chemistry Question
Question
In two hydrogen atoms A and B, the electrons are revolving round the nucleus in circular orbits of radius $r$ and $4r$, respectively. The ratio of times taken by them to complete one revolution is
Answer: C
💡 Solution & Explanation
The radius of a Bohr orbit is proportional to $n^2$. Since $r_A/r_B = 1/4$, we have $n_A/n_B = 1/2$. The time period $T$ is proportional to $n^3$. Thus, the ratio $T_A/T_B = (1/2)^3 = 1/8$. Therefore, correct answer is C.
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