JEE Chemistry · Hard

Atomic Structure: Hydrogen-like MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Hydrogen-likeHardQuestion 600230

Question

The shortest wavelength in the Lyman series of Li²⁺ (Z=3) corresponds to:
  1. A
    1/λ = 9R × 1
  2. B
    1/λ = R
  3. C
    1/λ = 9R
    Correct
  4. D
    1/λ = R/9

Correct answer

1/λ = 9R

Explanation

Series limit (n→∞ to n=1): 1/λ = RZ²(1/1 − 0) = R×9 = 9R. Wavelength is 1/9 of H Lyman limit.