Consider a hydrogen atom with $$v_k$$, $$r_k$$, and $$K_k$$ denoting the velocity, orbital radius and kinetic energy of the electron in the $$k^{\text{th}}$$ 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 the free space, the correct statement(s) is(are):

Magnitude of change in kinetic energy of electron can be expressed as $$\dfrac{h}{4\pi}\left|\dfrac{n v_n}{r_n}-\dfrac{v_1}{r_1}\right|$$.

Magnitude of change in de Broglie wavelength of the electron can be expressed as $$\dfrac{e^2}{4\epsilon_0}\left|\dfrac{1}{K_n}-\dfrac{1}{K_1}\right|$$.

Frequency of the radiation emitted can be expressed as $$\dfrac{e^2}{8\pi\epsilon_0 h}\left(\dfrac{1}{r_1}-\dfrac{1}{r_n}\right)$$.

Magnitude of change in total energy of the electron can be expressed as $$\dfrac{h}{2\pi}\left|\dfrac{v_1}{r_1}-\dfrac{n v_n}{r_n}\right|$$.