The de-Broglie wavelength λ n of the electron in the n t h orbit of hydrogen atom is

Step-by-step solution

∵ de-Broglie wavelength λ n of the electron in the n t h orbit of hydrogen atom λ = 2 π n h × h r ⇒ λ n = 2 π r n A s , λ = h p = h m v o r m v r = h r λ = n h 2 π , λ = 2 π n h × h r λ n ∝​ n Hence, λ n is directly proportional to n .