Q. No.If for \(Li^{2+} \) ion, electron is in transition between energy levels such that sum of principal quantum numbers is 4 and difference is 2 then find the wavelength (in cm) emitted for transition between these energy levels
[Given: \(R_H = 1.1 \times 10^5 \text {cm}^{-1}\)]
1. \(114 \times 10^{-8} ~\text {cm}\)
2. \(1026 \times 10^{-8} ~\text {cm}\)
3. \(12.66 \times 10^{-8} ~\text {cm}\)
4. \( 10^{-8} ~\text {cm}\)
[Given: \(R_H = 1.1 \times 10^5 \text {cm}^{-1}\)]
1. \(114 \times 10^{-8} ~\text {cm}\)
2. \(1026 \times 10^{-8} ~\text {cm}\)
3. \(12.66 \times 10^{-8} ~\text {cm}\)
4. \( 10^{-8} ~\text {cm}\)
Subtopic: Bohr's Theory |
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Given below are two statements:
| Statement I: | Bohr's model applies to hydrogen-like species. |
| Statement II: | Bohr's model does not consider electron-electron repulsion. |
| 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. |
Subtopic: Bohr's Theory |
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What is the value of n, the final energy level, when an electron in a hydrogen-like species transitions from the 4th excited state to the n-th state, given that the energy emitted during the transition is 2.86 eV?
| 1. | Four (4) | 2. | One (1) |
| 3. | Six (6) | 4. | Two (2) |
Subtopic: Bohr's Theory |
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Which of the following is the ratio of the radius of \(5^\text{th}\) Bohr orbit \((\mathrm{r_5})\) of \(\mathrm{He^+}\) & \(\mathrm{Li^{2+}}\) ?
| 1. | \(\dfrac {2} {3}\) | 2. | \(\dfrac {3} {2}\) |
| 3. | \(\dfrac {9} {4}\) | 4. | \(\dfrac {4} {9}\) |
Subtopic: Bohr's Theory |
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According to Bohr’s atomic model, the radius of the 4th orbit of which hydrogen-like species is equal to the radius of the 2nd orbit of the hydrogen atom?
| 1. | \(\mathrm{Be^{+3}}\) | 2. | \(\mathrm{Li^{+2}}\) |
| 3. | \(\mathrm{He^{+1}}\) | 4. | None of these |
Subtopic: Bohr's Theory |
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The energy of an electron in first Bohr orbit of \(\text{H-} \)atom is \(\mathrm{–13.6~ eV.} \) Find the magnitude of the energy of an electron in the first excited state of \(\mathrm{Be^{3+}}\) ion in \(\mathrm{eV.}\)
| 1. | 27.2 | 2. | 54.4 |
| 3. | 13.6 | 4. | 81.6 |
Subtopic: Bohr's Theory |
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Identify the correct relationship between potential energy and total energy of an electron in Bohr's model for single electron species.
1. \(\mathrm{PE}=2 \mathrm{TE}\)
2. \(PE=-2TE~\)
3. \(PE=TE\)
4. \(PE=-TE\)
1. \(\mathrm{PE}=2 \mathrm{TE}\)
2. \(PE=-2TE~\)
3. \(PE=TE\)
4. \(PE=-TE\)
Subtopic: Bohr's Theory |
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The angular momentum of an electron in an orbit of radius \(\mathrm{R}\) in a hydrogen atom is directly proportional to ____.
| 1. | \(\mathrm{R}\) | 2. | \(\dfrac{1}{R}\) |
| 3. | \(\dfrac{1}{\sqrt{R}}\) | 4. | \(\sqrt{R}\) |
Subtopic: Bohr's Theory |
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If \(\lambda_{\max }\) for Lyman series of H-atom is 912 Å, then calculate \(\lambda_{\text {min }}\)for Balmer series of H-atom (in Å).
1. 2736
2. 1423
3. 6704
4. 1890
1. 2736
2. 1423
3. 6704
4. 1890
Subtopic: Bohr's Theory |
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Magnetic moment due to the motion of the electron in \( \text{n}^\text{th}\) orbit of Bohr atom is proportional to \(\text{n}^\text{x}.\)The value of x is:
1. 0
2. 1
3. 2
4. 3
1. 0
2. 1
3. 2
4. 3
Subtopic: Bohr's Theory |
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