JEE Chemistry · Medium

Atomic Structure: Rydberg Equation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Rydberg EquationMediumQuestion 600205

Question

The wavelength of light emitted when hydrogen electron falls from n=4 to n=2 (Rydberg constant R = 1.097×10⁷ m⁻¹) is:
  1. A
    486 nm
    Correct
  2. B
    656 nm
  3. C
    434 nm
  4. D
    410 nm

Correct answer

486 nm

Explanation

1/λ = R(1/4 − 1/16) = R×(3/16). λ = 16/(3R) = 16/(3×1.097×10⁷) ≈ 4.86×10⁻⁷ m = 486 nm (Hβ line, blue-green).