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Q. No.The radius of the innermost electron orbit in a hydrogen atom is \(5.3\times 10^{-11}~\text{m}.\) What is the radius of the third orbit?
1.
\(11.3\times 10^{-11}\) m
2.
\(12.9\times 10^{-11}\) m
3.
\(15.9\times 10^{-11}\) m
4.
\(47.7\times 10^{-11}\) m
Subtopic: Bohr's Model of Atom |
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A beam of monochromatic light is used to excite the electron in \(\mathrm{Li}^{++}\) from the first orbit to the third orbit. The wavelength of monochromatic light is found to be \( x \times 10^{-10}~\text{m}\). The value of \(x\) is: [Given: \(hc = 1242~\text{eV nm}\)]
1. \(238\)
2. \(114\)
3. \(340\)
4. \(165\)
1. \(238\)
2. \(114\)
3. \(340\)
4. \(165\)
Subtopic: Bohr's Model of Atom |
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In which of the following systems will be wavelength corresponding to \(n=3\) to \(n=1\) be minimum?
1. Hydrogen atom
2. Deuterium atom
3. Singly ionized helium
4. Doubly ionized lithium
1. Hydrogen atom
2. Deuterium atom
3. Singly ionized helium
4. Doubly ionized lithium
Subtopic: Spectral Series |
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In Bohr's atomic model of hydrogen, let \(K,P\) and \(E\) be the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level:
| 1. | All \(K,P\) and \(E\) increase |
| 2. | \(K\) decreases, \(P\) and \(E\) increase |
| 3. | \(P\) decreases, \(K\) and \(E\) increase |
| 4. | \(K\) increases, \(P\) and \(E\) decrease |
Subtopic: Bohr's Model of Atom |
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In a hydrogen atom, the kinetic energy, potential energy, and total energy of an electron are represented by symbols \(K,U\) and \(E\) respectively. Which one of the following relations is correct?
1. \(K=U=2E\)
2. \(K=\dfrac{-U}{2}=-E\)
3. \(K=\dfrac{U}{2}=-E\)
4. \(K=U=-E\)
1. \(K=U=2E\)
2. \(K=\dfrac{-U}{2}=-E\)
3. \(K=\dfrac{U}{2}=-E\)
4. \(K=U=-E\)
Subtopic: Bohr's Model of Atom |
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The ground state energy of electrons in hydrogen atom is \(-13.6\) eV. The corresponding kinetic and potential energies are, respectively:
| 1. | zero; \(13.6\) eV |
| 2. | \(-6.8\) eV; \(-6.8\) eV |
| 3. | \(13.6\) eV; \(-27.2\) eV |
| 4. | \(-13.6\) eV; zero |
Subtopic: Bohr's Model of Atom |
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\({ x \over x+4}\) is the ratio of energies of photons produced due to the transition of an electron of the hydrogen atom from its
(i) third permitted energy level to the second level and
(ii) the highest permitted energy level to the second permitted level.
The value of \(x\) will be:
1. \(1\)
2. \(3\)
3. \(5\)
4. \(7\)
(i) third permitted energy level to the second level and
(ii) the highest permitted energy level to the second permitted level.
The value of \(x\) will be:
1. \(1\)
2. \(3\)
3. \(5\)
4. \(7\)
Subtopic: Bohr's Model of Atom |
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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 |
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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 |
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The diagram shown represents different transitions of electron \(({A,B,C,D})\) between the energy levels with the energies mentioned. Among the shown transitions, which transition will generate a photon of wavelength \(124.1~\text{nm}?\)
(\(hc=1241~\text{eV-nm}\)).
1. \({A}\)
2. \({B}\)
3. \({C}\)
4. \({D}\)
(\(hc=1241~\text{eV-nm}\)).
1. \({A}\)
2. \({B}\)
3. \({C}\)
4. \({D}\)
Subtopic: Spectral Series |
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