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Q. No.A hydrogen atom in the ground state absorbs an ultraviolet photon of wavelength \(25\) nm. Ignore any momentum associated with the photon. The ejected electron has an energy of nearly:
(Take \(hc = 1240\) eV-nm)
1. \(10\) eV
2. \(25\) eV
3. \(35\) eV
4. \(50\) eV
Subtopic: Bohr's Model of Atom |
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The energy of an atom with a \(K\text-\)shell vacancy is \(E_K\), that with an \(L\text-\)shell vacancy is \(E_L\), and that with an \(M\text-\)shell vacancy is \(E_M\): all compared to an atom with no vacancy, then:
Choose the correct option from the options given below:
| (I) | \(E_K<E_L\) |
| (II) | \(E_L>E_M\) |
| (III) | \(E_L -E_K=E_{K\alpha}\), the energy of \(K_\alpha \) photon |
| 1. | (I) is true | 2. | (I), (III) are true |
| 3. | (II) is true | 4. | (I), (II) are true |
Subtopic: Bohr's Model of Atom |
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Given below are two statements:
| Assertion (A): | When light consisting of wavelengths corresponding to the Balmer series is incident on a gas containing \(\mathrm{He}^{+}\) ions in the first three excited states - it can be absorbed by the \(\mathrm{He}^{+}\) ions. |
| Reason (R): | All the energy levels of the \(\mathrm{He}^{+}\) ions are the same as those of the \(\mathrm{H}\) atoms. |
| 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). |
Subtopic: Spectral Series |
65%
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The zero of the potential energy is so chosen that the total energy of the hydrogen atom in its \(1^{st}\) excited state is zero. Then, the energy of the ground state of the hydrogen atom is:
| 1. | \(-3.4~\text{eV}\) | 2. | \(-6.8~\text{eV}\) |
| 3. | \(-10.2~\text{eV}\) | 4. | \(-13.6~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
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Which of the following has the same orbital radius as the Bohr radius?
| 1. | \(n=2\) state of \(\mathrm{He}^{+}\) \(\left(Z=2\right)\) ion |
| 2. | \(n=4\) state of \(\mathrm{He}^{+}\) \(\left(Z=2\right)\) ion |
| 3. | \(n=2\) state of \(\mathrm{Be}^{3+}\)\(\left(Z=4\right)\) ion |
| 4. | \(n=3\) state of \(\mathrm{Li}^{2+}\) \(\left(Z=3\right)\) ion |
Subtopic: Bohr's Model of Atom |
79%
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In stimulated emission, an incoming photon interacts with an excited atom (e.g. \(\mathrm{H}^{*}\)) and brings the atom to its ground state, while an extra photon is emitted - as it happens in a laser. When a photon stimulates the emission of another photon, the two photons have:
| 1. | the same phase. |
| 2. | the same energy. |
| 3. | the same direction. |
| 4. | the same phase, energy, and direction. |
Subtopic: Spectral Series |
52%
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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:
These photons can have:
| 1. | 2 possible energy values. |
| 2. | 3 possible energy values. |
| 3. | 4 possible energy values. |
| 4. | 5 possible energy values. |
Subtopic: Spectral Series |
65%
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Among the given options which is the minimum work function so that light from the Balmer series will not be able to cause any photo-electric effect?
| 1. | \(13.6~\text{eV}\) |
| 2. | \(\dfrac{13.6} {2}~\text{eV}\) |
| 3. | \(13.6×\left(\dfrac{3}{4}\right)~\text{eV}\) |
| 4. | \(13.6×\left(\dfrac14-\dfrac19\right)~\text{eV}\) |
Subtopic: Spectral Series |
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Radiation from hydrogen atom making transitions from state \(n=2~\text{to}~n=1\), falls on a gas containing \(\mathrm{Li}^{2+}\) ions in \(n=1,2,3\) states. Which of the following statements is correct?
| 1. | Some radiation is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=2\) state. |
| 2. | Some radiation is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=3\) state. |
| 3. | Some radiations is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=1\) state. |
| 4. | None of the radiation is absorbed by \(\mathrm{Li}^{2+}\) ions. |
Subtopic: Bohr's Model of Atom |
50%
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A hydrogen atom collides with another similar atom at rest. The minimum energy of the first atom so that one of them may get ionised is:
| 1. | \(13.6\) eV | 2. | \(\dfrac{13.6} {2}\) eV |
| 3. | \(2 \times 13.6\) eV | 4. | \(10.2\) eV |
Subtopic: Bohr's Model of Atom |
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