The ratio of time taken by electron in revolutions round the H-nucleus in the second and third orbit — Atomic Structure Chemistry Question

💡 Solution & Explanation

The time period of revolution T for an electron in a Bohr orbit is given by the formula T = 2*π*r / v. Under Bohr's model, the orbit radius r is ∝ n^2 and the velocity v is ∝ 1/n. Substituting these, we get T ∝ n^2 / (1/n) = n^3. Therefore, the ratio of time taken in the second orbit (n = 2) and third orbit (n = 3) is T_2 / T_3 = 2^3 / 3^3 = 8:27.