What NEET Asks
- Direct conceptual questions on individual postulates of Bohr's model.
- Application of angular momentum quantization formula for specific orbits.
- Basis for explaining the stability of atoms and hydrogen spectral lines.
Key Points
- Stationary States: Electrons revolve in fixed circular orbits (called stationary states) without radiating energy.
- Quantized Angular Momentum: Only orbits where the angular momentum (
mvr) is an integral multiple ofh/2πare allowed (mvr = nh/2π, where n = 1, 2, 3...). Electrons cannot exist between these orbits. - Energy Transitions: Energy is emitted when an electron jumps from a higher to a lower energy state, and absorbed when it moves from a lower to a higher state. The energy difference
ΔE = E₂ - E₁ = hν(where ν is the frequency of radiation). - Centripetal Force: The electrostatic force of attraction between the nucleus and the electron provides the necessary centripetal force for the electron's motion (
kZe²/r² = mv²/r). - Limitations: Bohr's model is strictly applicable only to single-electron species (e.g., H, He⁺, Li²⁺, Be³⁺).
Must-Know Formula / Reaction
mvr = nh/2π
m: mass of the electronv: velocity of the electronr: radius of the electron's orbitn: principal quantum number (or orbit number, 1, 2, 3...)h: Planck's constant- This formula represents the quantization of angular momentum, a fundamental postulate.
Common Mistakes
- Students often apply Bohr's model concepts to multi-electron atoms, which is incorrect due to electron-electron repulsions.
- Don't confuse 'stationary states' with electrons being static; they are in motion but not radiating energy.
- Misinterpreting the negative sign in energy calculations; emission leads to a negative
ΔE, but the energy of the emitted photon is a positive value.
Rapid Revision
Bohr's model postulates fixed, non-radiating orbits (stationary states) with quantized angular momentum (mvr = nh/2π). Energy changes only occur during transitions (ΔE = hν). It's valid solely for hydrogen and hydrogen-like species.