TS EAMCET · Physics · Atomic Physics
If the difference in the frequencies of the first and second lines of Lyman series of hydrogen atom is \(f\), then the difference in frequencies of the first and second lines of Balmer series of hydrogen atom is
- A \(\frac{3 \mathrm{f}}{4}\)
- B f
- C \(\frac{7 \mathrm{f}}{20}\)
- D \(\frac{9 \mathrm{f}}{16}\)
Answer & Solution
Correct Answer
(C) \(\frac{7 \mathrm{f}}{20}\)
Step-by-step Solution
Detailed explanation
\(f = R_H c \left( \frac{1}{1^2} - \frac{1}{3^2} \right) - R_H c \left( \frac{1}{1^2} - \frac{1}{2^2} \right)\) \(f = R_H c \left( \frac{8}{9} - \frac{3}{4} \right) = R_H c \left( \frac{32-27}{36} \right) = \frac{5 R_H c}{36}\)…
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