The expression for recoil velocity of a hydrogen atom during electron transition is given by:
v = (Ep/mp) * (me/mp)2 * (me/mn) * (1 - 1/n2) * (1 - 1/n2),
where Ep is the energy released during the transition, mp and me are the masses of the proton and electron respectively, and mn is the mass of the neutron.
The recoil velocity is directly proportional to the energy released during the electron transition. This means that as the energy released increases, the recoil velocity also increases.
Yes, the mass of the proton and neutron do have an impact on the recoil velocity. The expression for recoil velocity includes the masses of these particles, and as the masses change, the recoil velocity will also change.
The 1/n2 term represents the difference in energy levels between the initial and final states of the electron transition. It is a result of the energy quantization in atoms, where electrons can only exist in specific energy levels.
No, the expression is specifically for hydrogen atoms. The masses and energy levels of different atoms vary, so the expression would need to be modified for other atoms.