TS EAMCET · Physics · Atomic Physics
Let \(\lambda_P\) and \(\lambda_L\) be the longest wavelengths observed in the Paschen and Lyman series respectively. Choose the correct option
- A \(4 < \frac{\lambda_\rho}{\lambda_L} < 6\)
- B \(7 < \frac{\lambda_\rho}{\lambda_L} < 8\)
- C \(15 < \frac{\lambda_\rho}{\lambda_L} < 16\)
- D \(30 < \frac{\lambda_\rho}{\lambda_L} < 32\)
Answer & Solution
Correct Answer
(C) \(15 < \frac{\lambda_\rho}{\lambda_L} < 16\)
Step-by-step Solution
Detailed explanation
As we know, wavelength for Paschen-series. \(\frac{1}{\lambda_P}=R\left[\frac{1}{3^2}-\frac{1}{n_p^2}\right], n_p=4,5,6\) and wavelength for Lyman-series, \(\frac{1}{\lambda_L}=R\left[1-\frac{1}{n_L^2}\right], n_L=2,3,4 \ldots\) Hence, \(\lambda_p\) for \(n_p=4\)…
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