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⚛️ Physics  ·  Atoms  ·  NEET & JEE

Rydberg formula for hydrogen: 1/lambda = R(1/n<sub>1</sub>² - 1/n<sub>2</sub>²). Rydberg constant R =

Answer: 1.097 × 10⁷ m⁻¹.

  • A 1.097 × 10⁷ m⁻¹
  • B 1.097 × 10⁻⁷ m
  • C 6.626 × 10⁻³⁴ J·s
  • D 3 × 10⁸ m/s

Correct answer: A. 1.097 × 10⁷ m⁻¹

Explanation: Rydberg constant RH = 1.097 × 10⁷ m⁻¹. It appears in the Rydberg formula for spectral lines of hydrogen.

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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