Radius Of N Th Bohr Orbit — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Radius of n-th Bohr Orbit Only applicable to Hydrogen-like species (single electron atoms/ions) such as H, He+, Li++. Equate Coulombic force of attraction to centripetal force: (1/4πε₀)(Ze²/r²) = mv²/r Apply Bohr's quantization condition for angular momentum: mvr = nh/2π Eliminate velocity (v) from the equations to solve for r Assumes circular orbits Ignores relativistic effects on the electron Does not account for nuclear motion (finite nuclear mass correction not included) Applying this formula to neutral Helium (Z=2) or other multi-electron atoms Confusing the proportionality: radius is directly proportional to n-squared, not n Forgetting that Z is in the denominator, meaning orbits shrink as nuclear charge increases