The ratio of angular momentum of an electron in n ^ th orbit of hydrogen atom to the velocity of electron in n^ th orbit is proportional to

Step-by-step solution

Bohr's quantization condition gives the angular momentum in the n^ th orbit as L_n = nh 2 , so L_n n . The electron velocity in hydrogen is v_n = e^2 2 ₀ n h , yielding v_n 1 n . The ratio is L_n v_n = nh 2 e^2 2 ₀ n h = n^2 h^2 ₀ e^2 which is proportional to n^2 . Answer: A