Q. No.Let \(f_1\) be the maximum frequency of the Lyman series, \(f_2\) be the frequency of the first line of the Lyman series, and \(f_3\) be the frequency of the series limit of the Balmer series, then which of the following is correct?
1. \(f_1-f_2=f_3\)
2. \(f_2-f_1=f_3\)
3. \(f_1+f_2=f_3\)
4. \(2f_1 = f_2 + f_3\)
1. \(f_1-f_2=f_3\)
2. \(f_2-f_1=f_3\)
3. \(f_1+f_2=f_3\)
4. \(2f_1 = f_2 + f_3\)
Subtopic: Spectral Series |
65%
Level 2: 60%+
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If the wavelength of the first line in the Balmer Series of the hydrogen spectrum is \(\lambda,\) then what is the wavelength of the second line in this series?
1. \(\frac{20}{27}\lambda\)
2. \(\frac{27}{20}\lambda\)
3. \(\frac{25}{27}\lambda\)
4. \(\frac{27}{25}\lambda\)
1. \(\frac{20}{27}\lambda\)
2. \(\frac{27}{20}\lambda\)
3. \(\frac{25}{27}\lambda\)
4. \(\frac{27}{25}\lambda\)
Subtopic: Spectral Series |
77%
Level 2: 60%+
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\(E_1, E_2\) and \(E_3\) are energies of an electron in three consecutive energy levels of a hydrogen-like atom, such that \(E_1<E_2<E_3\). The wavelength emitted in the transition from \(E_3\) to \(E_2\) is \(\lambda_2\) and the wavelength emitted in the transition from \(E_2\) to \(E_1\) is \(\lambda_1\). The wavelength emitted in transition from \(E_3\) to \(E_1\) is:
| 1. | \(\frac{\lambda_1\lambda_2}{\lambda_1-\lambda_2}\) | 2. | \(\frac{\lambda_1+\lambda_2}{2}\) |
| 3. | \(\sqrt{\lambda^2_1+\lambda^2_2}\) | 4. | \(\frac{\lambda_1\lambda_2}{\lambda_1+\lambda_2}\) |
Subtopic: Spectral Series |
80%
Level 1: 80%+
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When an electron transitions from \(n=4\) to \(n=2,\) then the emitted line in the spectrum will be:
| 1. | the first line of the Lyman series. |
| 2. | the second line of the Balmer series. |
| 3. | the first line of the Paschen series. |
| 4. | the second line of the Paschen series. |
Subtopic: Spectral Series |
87%
Level 1: 80%+
AIPMT - 2000
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Match List-I (Spectral Series) with List-II (corresponding wave number expressions).
Choose the correct answer from the options given below:
| List-I (Series) |
List-II (Wave number in \(\text{cm}^{–1}\)) |
||
| A. | Balmer series | I. | \( R\left(\dfrac{1}{1^2}-\dfrac{1}{n^2}\right) \) |
| B. | Lyman series | II. | \( R\left(\dfrac{1}{4^2}-\dfrac{1}{n^2}\right) \) |
| C. | Brackett series | III. | \( R\left(\dfrac{1}{5^2}-\dfrac{1}{n^2}\right) \) |
| D. | Pfund series | IV. | \( R\left(\dfrac{1}{2^2}-\dfrac{1}{n^2}\right)\) |
| 1. | A-I, B-IV, C-III, D-II |
| 2. | A-II, B-III, C-IV, D-I |
| 3. | A-IV, B-I, C-II, D-III |
| 4. | A-III, B-II, C-I, D-IV |
Subtopic: Spectral Series |
87%
Level 1: 80%+
NEET - 2024
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The spectral series which corresponds to the electronic transition from the levels \({n}_{2}=5,6,\ldots \) to the level \({n}_{1}=4\mathrm~\) is:
| 1. | Pfund series | 2. | Brackett series |
| 3. | Lyman series | 4. | Balmer series |
Subtopic: Spectral Series |
81%
Level 1: 80%+
NEET - 2024
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The wavenumber of a photon in the Brackett series of a hydrogen atom is \(\frac{9}{400}R.\) What is the quantum number of the electron that has transited from the orbit?
1. \(5\)
2. \(6\)
3. \(4\)
4. \(7\)
1. \(5\)
2. \(6\)
3. \(4\)
4. \(7\)
Subtopic: Spectral Series |
65%
Level 2: 60%+
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What is the ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra?
| 1. | \(\dfrac{25}{9}\) | 2. | \(\dfrac{17}{6}\) |
| 3. | \(\dfrac{9}{5}\) | 4. | \(\dfrac{4}{3}\) |
Subtopic: Spectral Series |
81%
Level 1: 80%+
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The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:
| 1. | \(\dfrac{3}{23}\) | 2. | \(\dfrac{7}{29}\) |
| 3. | \(\dfrac{9}{31}\) | 4. | \(\dfrac{5}{27}\) |
Subtopic: Spectral Series |
89%
Level 1: 80%+
AIPMT - 2013
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The wavelength of the first line of the Lyman series for a hydrogen atom is equal to that of the second line of the Balmer series for a hydrogen-like ion. What is the atomic number \(Z\) of hydrogen-like ions?
1. \(4\)
2. \(1\)
3. \(2\)
4. \(3\)
Subtopic: Spectral Series |
75%
Level 2: 60%+
AIPMT - 2011
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