JEE Main 2024 Physics question
A particular hydrogen-like ion emits the radiation of frequency Hz when it makes transition from n = 2 to n = 1. The frequency of radiation emitted in transition from n = 3 to n = 1 is Hz, when x = .
Answer: 32
Solution
ν ∝ (1 − 1/n²): ν(3→1)/ν(2→1) = (8/9)/(3/4) = 32/27, so ν = 3 × 10¹⁵ × 32/27 = (32/9) × 10¹⁵ Hz.