Bohr S Quantization Condition — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Bohr's Quantization Condition Applicable only to hydrogen-like atoms (single electron species like H, He+, Li++) within the context of the Bohr Model. Assume electron revolves in stable circular orbits without radiating energy. De Broglie hypothesis suggests electron behaves as a standing wave. Circumference of orbit equals integer number of wavelengths: 2πr = nλ. Substitute de Broglie wavelength λ = h/mv. Rearrange to get mvr = nh / 2π. Fails for multi-electron atoms. Assumes circular orbits (Sommerfeld later introduced elliptical orbits). Violates the Heisenberg Uncertainty Principle by defining exact position and momentum simultaneously. Does not account for wave nature of electrons explicitly in the original postulate (though de Broglie explained it later). Believing n can be any real number (it must be an integer). Thinking angular momentum changes continuously (it is quantized). Confusing orbital angular momentum (L) with spin angular momentum (S).