TS EAMCET · Physics · Atomic Physics
The wavelength of a spectral line emitted by hydrogen atom in the Balmer series is \(\frac{16}{3 R}\) ( \(R\) is Rydberg constant). What is the value of the principal quantum number of the state from which the transition takes place?
- A 2
- B 3
- C 4
- D 5
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
In spectral line series, wavelength is given by \(\frac{1}{\lambda}=R\left(\frac{1}{n_f^2}-\frac{1}{n_i^2}\right)\) For Balmer transitions, \(\Rightarrow \quad \frac{1}{\lambda}=R\left(\frac{1}{4}-\frac{1}{n^2}\right)\) Given, \(\quad \lambda=\frac{16}{3 R}\)…
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