De Broglie Wavelength Of An Accelerated Electron — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
De Broglie wavelength of an accelerated electron Specifically for electrons accelerated from rest through a static electric potential difference. Work done by potential V on electron: K = eV Relation between Kinetic Energy and Momentum: K = p 2 / 2m => p = sqrt(2meK) Substitution: p = sqrt(2meV) Apply de Broglie relation: lambda = h / p Substitute numerical values for h, m, e to find numerical constant Assumes non-relativistic speeds (V << 511 kV) Initial kinetic energy is assumed to be zero Approximation constant 12.27 yields result in Angstroms Confusing 'V' (Potential) with 'v' (Velocity) Using the 12.27 constant for particles other than electrons (e.g., protons or alpha particles) Forgetting that the result 12.27/sqrt(V) is in Angstroms, not meters