AP EAMCET · PHYSICS · Atomic Physics
The ratio of the wavelengths of the spectral lines emitted due to transitions \(3 \rightarrow 2\) and \(2 \rightarrow 1\) orbits in the hydrogen atom is
- A \(3 :1\)
- B \(9 :17\)
- C \(27 :5\)
- D \(25 :9\)
Answer & Solution
Correct Answer
(C) \(27 :5\)
Step-by-step Solution
Detailed explanation
\(\frac{1}{\lambda} \propto \left(\frac{1}{n_f^2} - \frac{1}{n_i^2}\right)\) \(\frac{1}{\lambda_1} \propto \left(\frac{1}{2^2} - \frac{1}{3^2}\right) = \left(\frac{1}{4} - \frac{1}{9}\right) = \frac{5}{36}\)…
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