Velocity Of Electron In N Th Orbit — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Velocity of electron in n-th orbit Hydrogen-like species (single-electron atoms like H, He+, Li++) Equate electrostatic force to centripetal force: (kZe 2)/r 2 = (mv 2)/r Apply Bohr's quantization rule: mvr = nh/(2pi) Eliminate r to solve for v Valid only within the Bohr Model framework Assumes nucleus is stationary (infinite mass approximation) Non-relativistic approximation Thinking velocity increases in outer orbits (it actually decreases) Assuming velocity depends on the mass of the electron (it cancels out in the final expression) Applying the formula to multi-electron atoms like Carbon or Oxygen