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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 |
Level 3: 35%-60%
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Given below are two statements:
| Statement I: | The time period of revolution of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n^3.\) |
| Statement II: | The kinetic energy of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n.\) |
| 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 |
81%
Level 1: 80%+
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Given below are two statements:
| Assertion (A): | The hydrogen atom consists of only one electron but its emission spectrum has many lines. |
| Reason (R): | Only Lyman series is found in the absorption spectrum of hydrogen atoms whereas in the emission spectrum, all the series are found. |
| 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 |
52%
Level 3: 35%-60%
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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%+
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An electron is moving around the nucleus of a hydrogen atom in a circular orbit of radius \(r\). What is the coulomb force \(\vec {F}\) between the two? \(\left ( \text{where},K=\frac{1}{4\pi \epsilon _{0}} \right )\)
1. \(K \frac{e^{2}}{r^{2}} \hat{r}\)
2. \(- K \frac{e^{2}}{r^{3}} \hat{r}\)
3. \(K \frac{e^{2}}{r^{3}} \overset{\rightarrow}{r}\)
4. \(- K \frac{e^{2}}{r^{3}} \overset{\rightarrow}{r}\)
1. \(K \frac{e^{2}}{r^{2}} \hat{r}\)
2. \(- K \frac{e^{2}}{r^{3}} \hat{r}\)
3. \(K \frac{e^{2}}{r^{3}} \overset{\rightarrow}{r}\)
4. \(- K \frac{e^{2}}{r^{3}} \overset{\rightarrow}{r}\)
Subtopic: Various Atomic Models |
56%
Level 3: 35%-60%
AIPMT - 2003
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When an electron transitions from \(n=4\) to \(n=2,\) then the emitted line in the spectrum will be:
| 1. | the first line of the Lyman series. |
| 2. | the second line of the Balmer series. |
| 3. | the first line of the Paschen series. |
| 4. | the second line of the Paschen series. |
Subtopic: Spectral Series |
87%
Level 1: 80%+
AIPMT - 2000
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The total energy of an electron in the first excited state of a hydrogen atom is about \(-3.4~\text{eV}.\) Its kinetic energy in this state will be:
1. \(-6.8~\text{eV}\)
2. \(3.4~\text{eV}\)
3. \(6.8~\text{eV}\)
4. \(-3.4~\text{eV}\)
Subtopic: Bohr's Model of Atom |
86%
Level 1: 80%+
AIPMT - 2005
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What was Rutherford's atom according to classical theory?
1. Electrostatically stable
2. Electrodynamically unstable
3. Semi-stable
4. Stable
1. Electrostatically stable
2. Electrodynamically unstable
3. Semi-stable
4. Stable
Subtopic: Various Atomic Models |
60%
Level 2: 60%+
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The radius of the first permitted Bohr orbit for the electron in a hydrogen atom equals \(0.5~\mathring{A}\) and its ground state energy equals \(-13.6\) eV. If the electron in the hydrogen atom is replaced by a muon \((\mu\text-)\) [ charged the same as the electron and mass \(207m_e\)], the first Bohr radius and ground state energy will be:
(\(m_e\) represents mass of electron)
(\(m_e\) represents mass of electron)
| 1. | \(0.53 \times 10^{-13} ~\text{m},-3.6 ~\text{eV}\) |
| 2. | \(25.6 \times 10^{-13} ~\text{m},-2.8 ~\text{eV}\) |
| 3. | \(2.56 \times 10^{-13} ~\text{m},-2.8 ~\text{keV}\) |
| 4. | \(2.56 \times 10^{-13} ~\text{m},-13.6 ~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
58%
Level 3: 35%-60%
NEET - 2019
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When an \(\alpha\text-\) particle of mass \(m\) moving with velocity \(v\) bombards a heavy nucleus of charge \(Ze\), its distance of closest approach from the nucleus depends on \(m\) as:
1. \(\frac{1}{\sqrt{m}}\)
2. \(\frac{1}{m^2}\)
3. \(m\)
4. \(\frac{1}{m}\)
1. \(\frac{1}{\sqrt{m}}\)
2. \(\frac{1}{m^2}\)
3. \(m\)
4. \(\frac{1}{m}\)
Subtopic: Various Atomic Models |
84%
Level 1: 80%+
NEET - 2016
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