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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%
Level 2: 60%+
Hints
If \({\mathit{\lambda}}_{1}\) and \({\mathit{\lambda}}_{2}\) are the wavelengths of the first members of the Lyman and Paschen series respectively, then \({\mathit{\lambda}}_{1}:{\mathit{\lambda}}_{2}\) is:
1. \(1:3\)
2. \(1:30\)
3. \(7:50\)
4. \(7:108\)
1. \(1:3\)
2. \(1:30\)
3. \(7:50\)
4. \(7:108\)
Subtopic: Spectral Series |
83%
Level 1: 80%+
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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 |
Level 3: 35%-60%
Hints
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%
Level 2: 60%+
Hints
Let \(T_1\) and \(T_2\) be the energy of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model of an atom, the ratio \(T_1:T_2\) is:
1. \(9:4\)
2. \(1:4\)
3. \(4:1\)
4. \(4:9\)
1. \(9:4\)
2. \(1:4\)
3. \(4:1\)
4. \(4:9\)
Subtopic: Bohr's Model of Atom |
67%
Level 2: 60%+
NEET - 2022
Hints
Given below are two statements:
| Assertion (A): | The positively charged nucleus of an atom has a radius of almost \(10^{-15}~\text{m}\). |
| Reason (R): | In \(\alpha\)-particle scattering experiment, the distance of the closest approach for \(\alpha\)-particle is \(\approx 10^{-15}~\text m\). |
| 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: Various Atomic Models |
58%
Level 3: 35%-60%
Hints
The product of the angular momentum and the kinetic energy of an electron in the \(n^\text{th}\) Bohr orbit in a hydrogen atom is proportional to:
| 1. | \(n\) | 2. | \(n^2\) |
| 3. | \(\dfrac1n\) | 4. | \(\dfrac{1}{n^3}\) |
Subtopic: Bohr's Model of Atom |
76%
Level 2: 60%+
Hints
Given below are two statements:
| Statement I: | The scattering of α-particles at large angles is primarily due to the atomic nucleus. |
| Statement II: | The atomic nucleus is very heavy in comparison to electrons. |
| 1. | Statement I is correct and Statement II is incorrect. |
| 2. | Statement I is incorrect and Statement II is correct. |
| 3. | Both Statement I and Statement II are correct. |
| 4. | Both Statement I and Statement II are incorrect. |
Subtopic: Various Atomic Models |
83%
Level 1: 80%+
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The transition from the state \(n= 4~\text{to}~n=3\) in hydrogen-like atoms results in ultraviolet radiation. Infrared radiation will be obtained in the transition:
1. \(2\rightarrow1\)
2. \(3\rightarrow2\)
3. \(4\rightarrow2\)
4. \(5\rightarrow4\)
1. \(2\rightarrow1\)
2. \(3\rightarrow2\)
3. \(4\rightarrow2\)
4. \(5\rightarrow4\)
Subtopic: Spectral Series |
77%
Level 2: 60%+
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Hints
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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 |
56%
Level 3: 35%-60%
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