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⚛️ Physics  ·  Atoms  ·  NEET & JEE

The de Broglie wavelength of a 1 kg ball moving at 1 m/s is negligible because:

Answer: Planck constant h = 6.63×10⁻³⁴ J·s is extremely small making lambda = h/mv = 6.63×10⁻³⁴ m.

  • A Planck's constant is actually a very large number in SI units in routine practice overall
  • B Planck constant h = 6.63×10⁻³⁴ J·s is extremely small making lambda = h/mv = 6.63×10⁻³⁴ m
  • C The mass of one kilogram is itself enormously large on an atomic scale in most cases
  • D The velocity of one metre per second is unusually small for this formula under typical conditions

Correct answer: B. Planck constant h = 6.63×10⁻³⁴ J·s is extremely small making lambda = h/mv = 6.63×10⁻³⁴ m

Explanation: lambda = h/mv = 6.63×10⁻³⁴/(1×1) = 6.63×10⁻³⁴ m. Far smaller than any measurable scale. Quantum effects negligible for macroscopic objects.

Comparison of the Thomson model and the Rutherford model of the atom: in the Thomson plum pudding model alpha particles pass almost straight through a diffuse positive sphere, while in the Rutherford model a concentrated central nucleus deflects some alpha particles through large angles, with the lower panels showing the alpha particle source and gold foil and the observed result of wide-angle scattering

The Geiger–Marsden alpha-scattering result: a few alpha particles bounce back at large angles, which rules out Thomson’s diffuse model and demands a tiny, massive, positively charged nucleus. Image: Kurzon, CC BY 3.0, via Wikimedia Commons.

Concept context

Thomson's plum-pudding model, Rutherford's nuclear model from alpha-scattering, Bohr's postulates and hydrogen spectrum, spectral series (Lyman to Pfund), Rydberg formula, and limitations of each model.

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