JEE Mains · Chemistry · STD 11 - 2. structure of atom
The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series. (R = Rydberg constant)
- A \( \frac{5R}{36}, \frac{3R}{16}, \frac{21R}{100} \)
- B \( \frac{5R}{36}, \frac{8R}{9}, \frac{15R}{16} \)
- C \( \frac{7R}{144}, \frac{3R}{16}, \frac{16R}{255} \)
- D \( \frac{3R}{4}, \frac{3R}{16}, \frac{7R}{144} \)
Answer & Solution
Correct Answer
(A) \( \frac{5R}{36}, \frac{3R}{16}, \frac{21R}{100} \)
Step-by-step Solution
Detailed explanation
Balmer series line \(\Rightarrow \bar{v}= R _{ H } z ^2\left[\frac{1}{2^2}-\frac{1}{ n ^2}\right]\) if \(n=3 \Rightarrow \bar{v}=R(1)^2\left[\frac{1}{2^2}-\frac{1}{3^2}\right]=\frac{5 R}{36}\) if \(n=4 \Rightarrow \bar{v}=\frac{3 R}{16}\) if…
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