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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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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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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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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:
(I) \(E_K<E_L\)
(II) \(E_L>E_M\)
(III)  \(E_L -E_K=E_{K\alpha}\), the energy of \(K_\alpha \) photon
Choose the correct option from the options given below:
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:
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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