Match List-I (Spectral Series) with List-II (corresponding wave number expressions).

List-I (Series)
A. Balme

Question

Match List-I (Spectral Series) with List-II (corresponding wave number expressions).

List-I (Series)
A. Balmer series
B. Lyman series
C. Brackett series
D. Pfund series

List-II (Wave number in cm⁻¹)
I. R(1/1² - 1/n²)
II. R(1/4² - 1/n²)
III. R(1/5² - 1/n²)
IV. R(1/2² - 1/n²)

Choose the correct answer from the options given below:

Accepted Answer

The wave number of spectral lines in the hydrogen spectrum is given by the Rydberg formula: $\bar{
u} = R_H (\frac{1}{n_1^2} - \frac{1}{n_2^2})$. Each series corresponds to a specific ground state ($n_1$):
1. **Lyman series (B):** Transitions to $n_1 = 1$. Matches formula I: $R(1/1^2 - 1/n^2)$.
2. **Balmer series (A):** Transitions to $n_1 = 2$. Matches formula IV: $R(1/2^2 - 1/n^2)$.
3. **Brackett series (C):** Transitions to $n_1 = 4$. Matches formula II: $R(1/4^2 - 1/n^2)$.
4. **Pfund series (D):** Transitions to $n_1 = 5$. Matches formula III: $R(1/5^2 - 1/n^2)$.

Therefore, the correct matching is A-IV, B-I, C-II, D-III .

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