Q. No.(\(R\) is Rydberg’s constant).
1. \(5\)
2. \(6\)
3. \(7\)
4. \(8\)
| 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. | \( R\left(\dfrac{1}{2^2}-\dfrac{1}{n^2}\right)\) |
Choose the correct answer from the options given below:
| 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 |
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(\(hc=1241~\text{eV-nm}\)).
1. \({A}\)
2. \({B}\)
3. \({C}\)
4. \({D}\)
Hydrogen \(({ }_1 \mathrm{H}^1)\), Deuterium \(({ }_1 \mathrm{H}^2)\), singly ionised Helium \(({ }_2 \mathrm{He}^4)^+\) and doubly ionised lithium \(({ }_3 \mathrm{Li}^6)^{++}\) all have one electron around the nucleus. Consider an electron transition from \(n=2 \) to \(n=1 \). If the wavelengths of emitted radiation are \(\lambda_1,\lambda_2,\lambda_3\) and \(\lambda_4\) respectively then approximately which one of the following is correct?
1. \( \lambda_1=2 \lambda_2=2 \lambda_3=\lambda_4 \)
2. \( \lambda_1=\lambda_2=4 \lambda_3=9 \lambda_4 \)
3. \( \lambda_1=2 \lambda_2=3 \lambda_3=4 \lambda_4 \)
4. \( 4 \lambda_1=2 \lambda_2=2 \lambda_3=\lambda_4\)
1. \(1:3\)
2. \(1:30\)
3. \(7:50\)
4. \(7:108\)
The transition from the state n = 3 to n = 1 in a hydrogen-like atom results in ultraviolet radiation. How will the Infrared radiation be obtained in the transition?
1. 4 2
2. 4 3
3. 2 1
4. 3 2
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| 1. | \(\dfrac{6}{5}\) | 2. | \(\dfrac{5}{6}\) |
| 3. | \(\dfrac{27}{32}\) | 4. | \(\dfrac{32}{27}\) |
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| 1. | Pfund series | 2. | Brackett series |
| 3. | Lyman series | 4. | Balmer series |
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What is the ratio of the maximum wavelength of the Lyman series in the hydrogen spectrum to the maximum wavelength of the Balmer series?
1. 27 : 5
2. 5 : 27
3. 5 : 7
4. 15 : 17
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1. \(2.973 \times 10^{-6} \mathrm{~m}\)
2. \(3.646 \times 10^{-6} \mathrm{~m}\)
3. \(1.094 \times 10^{-6} \mathrm{~m}\)
4. \(1.876 \times 10^{-6} \mathrm{~m}\)
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