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Q. No.Given below are two statements:
Assertion (A):
The absorption line observed in the spectra of an element is never completely dark.
Reason (R):
The sample used for absorption is thin, so that all photons corresponding to a transition may not be absorbed.
1.
Both (A) and (R) are true and (R) is the correct explanation of (A).
2.
Both (A) and (R) are true but (R) is not the correct explanation of (A).
3.
(A) is true but (R) is false.
4.
Both (A) and (R) are false.
Subtopic: Spectral Series |
From NCERT
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The electrostatic potential at the location of an electron in the ground state of the \(\mathrm{H}\)-atom is:
1. \(13.6~\text V\)
2. \(6.8~\text V\)
3. \(27.2~\text V\)
4. \(3.4~\text V\)
1. \(13.6~\text V\)
2. \(6.8~\text V\)
3. \(27.2~\text V\)
4. \(3.4~\text V\)
Subtopic: Bohr's Model of Atom |
From NCERT
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Given below are two statements:
| Statement I: | The stationary orbits in Bohr's theory correspond to those orbits in which an integer number of de-Broglie wavelengths of the orbiting electron fit in. |
| Statement II: | Photons having an energy greater than \(13.6~\text{eV}\) cannot be absorbed by an \(\mathrm{H}\)-atom in the ground state. |
| 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 Model of Atom |
From NCERT
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Instead of angular momentum quantization, a student posits that energy is quantized as \(E=-\dfrac{E_{0}}{n}~\left ( E_{0}>0 \right )\) and \(n\) is a positive integer. Which of the following options is correct?
| 1. | the radius of the electron orbit is \(r\propto\sqrt n\). |
| 2. | the speed of the electron is \(v\propto\sqrt n\). |
| 3. | the angular speed of the electron is \(\omega\propto 1/n\). |
| 4. | the angular momentum of the electron is \(\propto\sqrt n\). |
Subtopic: Bohr's Model of Atom |
55%
From NCERT
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In a muonic atom, a muon of mass of \(200\) times of that of an electron, and the same charge is bound to the proton. The wavelengths of its Balmer series are in the range of:
1. \(X\text-\text{rays}\)
2. infrared
3. \(\gamma\text-\text{rays}\)
4. microwave
1. \(X\text-\text{rays}\)
2. infrared
3. \(\gamma\text-\text{rays}\)
4. microwave
Subtopic: Spectral Series |
62%
From NCERT
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The de-Broglie wavelength of an electron in the ground state of the \(\mathrm{H\text-}\)atoms is \(\lambda_1,\) while that in the \(\mathrm{He}^+\) ion is \(\lambda_2.\) The ratio \(\dfrac{\lambda_1}{\lambda_2}\) is:
| 1. | \(4\) | 2. | \(2\) |
| 3. | \(\dfrac12\) | 4. | \(\dfrac14\) |
Subtopic: Bohr's Model of Atom |
From NCERT
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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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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 |
55%
From NCERT
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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 |
51%
From NCERT
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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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