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Δv ≥ h/(4π m Δx) ≈ 5.8×10⁵ m s⁻¹.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Shapes of Orbitals - s p d f and Nodes and Radial Probability
Momentum p = h/λ = 6.626×10⁻³⁴ / 5.0×10⁻¹⁰ = 1.3252×10⁻²⁴ kg m s⁻¹. Δx · Δp ≥ h/4π, Δx ≥ h/(4π Δp) = 6.626×10⁻³⁴ / (4 × 3.14 × 1.3252×10⁻²⁴) = 3.98×10⁻¹¹ m.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Quantum Mechanical Model - de Broglie Heisenberg and Schrodinger
Δx ≥ h/(4π Δp) = 5.27×10⁻¹¹ m.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Electronic Configuration - Aufbau Pauli Hund and Stability
Δp ≥ h/(4π Δx) ≈ 3.52×10⁻²⁴ kg m s⁻¹.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Developments Leading to Bohr Model - Electromagnetic Radiation and Spectrum
Δx ≥ h/(4π Δp) = 6.626×10⁻³⁴ / (4 × 3.14 × 5.0×10⁻²⁵) = 1.055×10⁻¹⁰ m.
Ref: NCERT Class 11 Chemistry > Chapter 2: Structure of Atom > Topic: Developments Leading to Bohr Model - Electromagnetic Radiation and Spectrum
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