Q. No.Whenever a photon is emitted by a hydrogen atom in the Paschen series, it is followed by further emissions of photons, in the Balmer series or the Lyman series.
These photons can have:
1.
2 possible energy values.
2.
3 possible energy values.
3.
4 possible energy values.
4.
5 possible energy values.
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| Assertion (A): | The magnetic moment of a hydrogen-like atom is higher when it is in a state of higher quantum number \(n.\) |
| Reason (R): | The magnetic moment of hydrogen-like atom, as calculated from Bohr's theory, is directly proportional to the principal quantum number \(n.\) |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
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| 1. | \(\dfrac he\) | 2. | \(\dfrac h{2e}\) |
| 3. | \(\dfrac {2h}e\) | 4. | \(\dfrac h{2\pi e}\) |
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1. \(13.6\) V
2. \(27.2\) V
3. \(10.2\) V
4. \(6.8\) V
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1. \(13.6~\text{eV}\)
2. \(10.2~\text{eV}\)
3. \(12.75~\text{eV}\)
4. \(12.1~\text{eV}\)
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| 1. | \(4\) | 2. | \(2\) |
| 3. | \(\dfrac12\) | 4. | \(\dfrac14\) |
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1. \(7.6\) eV
2. \(4.2\) eV
3. \(2.1\) eV
4. \(0.8\) eV
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1. \(12.4\) kV
2. \(6.2\) kV
3. \(24.8\) kV
4. \(37.2\) kV
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| Statement I: | The time period of revolution of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n^3.\) |
| Statement II: | The kinetic energy of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n.\) |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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