Answer: h/sqrt(3mkT).
- A h/sqrt(2mKT)
- B h/sqrt(mkT)
- C h/sqrt(3mkT)
- D h × sqrt(2mkT)
Correct answer: C. h/sqrt(3mkT)
Explanation: Thermal energy = (3/2)kT = p²/2m. p = sqrt(3mkT). lambda = h/sqrt(3mkT).

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.