Consider a hydrogen atom with \(v_k,\ r_k,\) and \(K_k\) denoting the velocity, orbital radius and kinetic energy of the electron in \(k^{\text{th}}\) orbit, respectively. The electron undergoes a transition from the \(n^{\text{th}}\) orbit, emitting radiation corresponding to the Lyman series. Considering \(h\) to be the Planck's constant and \(\epsilon_0\) the permittivity of free space, the correct statement(s) is/are: