Q. No.An ionised \(\text H\)-molecule consists of an electron and two protons. The protons are separated by a small distance of the order of angstrom. In the ground state:
| (a) | the electron would not move in circular orbits. |
| (b) | the energy would be \(2^{4}\) times that of a \(\text H\)-atom. |
| (c) | the electron's orbit would go around the protons. |
| (d) | the molecule will soon decay in a proton and a \(\text H\)-atom. |
Choose the correct option:
| 1. | (a), (b) | 2. | (a), (c) |
| 3. | (b), (c), (d) | 4. | (c), (d) |
Subtopic: Â Bohr's Model of Atom |
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The Bohr model for the spectra of a \(H\)-atom:
| (a) | will not apply to hydrogen in the molecular form. |
| (b) | will not be applicable as it is for a \(He\)-atom. |
| (c) | is valid only at room temperature. |
| (d) | predicts continuous as well as discrete spectral lines. |
Choose the correct option:
| 1. | (a), (b) | 2. | (c), (d) |
| 3. | (b), (c) | 4. | (a), (d) |
Subtopic: Â Bohr's Model of Atom |
 56%
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Let \(E_{n} = \frac{- 1m e^{4}}{8 \varepsilon_{0}^{2}n^{2} h^{2}} \) be the energy of the \(n^\text{th}\) level of H-atom. If all the H-atoms are in the ground state and radiation of frequency \(\frac{\left(\right. E_{2} - E_{1} \left.\right)}{h}\) falls on it, then:
| (a) | it will not be absorbed at all. |
| (b) | some of the atoms will move to the first excited state. |
| (c) | all atoms will be excited to the \(n = 2\) state. |
| (d) | no atoms will make a transition to the \(n = 3\) state. |
Choose the correct option:
| 1. | (b, d) | 2. | (a, d) |
| 3. | (b, c, d) | 4. | (c, d) |
Subtopic: Â Bohr's Model of Atom |
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The simple Bohr model is not applicable to \(\text{He}^4\) atom because:
| (a) | \(\text{He}^4\) is an inert gas. |
| (b) | \(\text{He}^4\) has neutrons in the nucleus. |
| (c) | \(\text{He}^4\) has one more electron. |
| (d) | electrons are not subject to central forces. |
Choose the correct option:
| 1. | (a), (c) | 2. | (a), (c), (d) |
| 3. | (b), (d) | 4. | (c), (d) |
Subtopic: Â Bohr's Model of Atom |
 52%
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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: Â Bohr's Model of Atom |
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Given below are two statements:
| Assertion (A): | The magnetic moment of a hydrogen-like atom is higher when it is in a state of higher quantum number \(n.\) |
| Reason (R): | The magnetic moment of hydrogen-like atom, as calculated from Bohr's theory, is directly proportional to the principal quantum number \(n.\) |
| 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: Â Bohr's Model of Atom |
 77%
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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: Â Bohr's Model of Atom |
 81%
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| Assertion (A): | Rydberg's constant does not vary with the mass number of a given element. |
| Reason (R): | The reduced mass of the electron is dependent on the mass of the nucleus only. |
In the light of the above statements choose the correct answer from the options given below:
| 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: Â Bohr's Model of Atom |
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Given below are two statements:
| Assertion (A): | Bohr had to postulate that the electrons in stationary orbits around the nucleus do not radiate. |
| Reason (R): | According to classical physics all accelerating electrons radiate. |
| 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: Â Bohr's Model of Atom |
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
In the light of the above statements choose the correct answer from the options given below:
| Assertion (A): | A hydrogen atom at the ground state cannot absorb a photon of energy 10 eV. |
| Reason (R): | First excitation energy of the hydrogen atom is 10.2 eV. The hydrogen atom absorbs only those photons which provide it the excitation energy. |
In the light of the above statements choose the correct answer from the options given below:
| 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: Â Bohr's Model of Atom |
 77%
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