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Q. No.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 |
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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
(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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A muon is approximately \(200\) times heavier than an electron, but it is negatively charged, just like the electron. If a 'muonic'
\(\mathrm H\)-like atom is formed by a proton and a negative muon, assuming everything else except the mass to be the same, what will be the radius of the orbit for the ground state?
(assume the Bohr radius (\(\mathrm H\)-atom) to be \(r_\mathrm H\))
1. \(r_\mathrm{H}\)
2. \(r_\mathrm{H} \times 200\)
3. \(\dfrac{r_\mathrm{H} }{200}\)
4. \(r_\mathrm{H}(200)^2\)
\(\mathrm H\)-like atom is formed by a proton and a negative muon, assuming everything else except the mass to be the same, what will be the radius of the orbit for the ground state?
(assume the Bohr radius (\(\mathrm H\)-atom) to be \(r_\mathrm H\))
1. \(r_\mathrm{H}\)
2. \(r_\mathrm{H} \times 200\)
3. \(\dfrac{r_\mathrm{H} }{200}\)
4. \(r_\mathrm{H}(200)^2\)
Subtopic: Bohr's Model of Atom |
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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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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 |
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An electron of mass \(m\) (charge \(e\)) moves in a circular orbit in a uniform magnetic field. Assume that Bohr's law of quantisation of angular momentum is valid for the electron. The minimum possible magnetic flux (flux of magnetic field) through the electron's orbit is:
| 1. | \(\dfrac he\) | 2. | \(\dfrac h{2e}\) |
| 3. | \(\dfrac {2h}e\) | 4. | \(\dfrac h{2\pi e}\) |
Subtopic: Bohr's Model of Atom |
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Electrons accelerated through a potential difference \(V_0\) are incident on a gas of hydrogen atoms in the ground state. For what minimum value of \(V_0\) will the collisions of the electrons with the atom be perfectly inelastic?
1. \(13.6\) V
2. \(27.2\) V
3. \(10.2\) V
4. \(6.8\) V
1. \(13.6\) V
2. \(27.2\) V
3. \(10.2\) V
4. \(6.8\) V
Subtopic: Bohr's Model of Atom |
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