Energy Of Electron In N Th Orbit — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Energy of electron in n-th orbit Applicable only to hydrogen-like atoms (single-electron systems) such as H, He+, Li2+, etc. Equating electrostatic force to centripetal force: (1/4πε₀)(Ze²/r²) = mv²/r Quantization of angular momentum: mvr = nh/2π Calculating kinetic energy (K = 1/2 mv²) and potential energy (U = -Ze²/4πε₀r) Total energy E = K + U Electron must be in a circular orbit Neglects relativistic effects Nucleus is assumed to be infinitely heavy compared to the electron Thinking that higher orbits have lower energy because the value is more negative; energy actually increases with n. Confusing the relation between Total Energy (E), Kinetic Energy (K), and Potential Energy (U): E = -K = U/2. Applying this formula to multi-electron atoms like Helium or Lithium.