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Q. No.The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:
1.
\(\frac{3}{23}\)
2.
\(\frac{7}{29}\)
3.
\(\frac{9}{31}\)
4.
\(\frac{5}{27}\)
Subtopic: Spectral Series |
88%
From NCERT
AIPMT - 2013
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If an alpha nucleus of energy \(\frac{1}{2}mv^2\) bombards a heavy nuclear target of charge \(Ze\), then the distance of closest approach for the alpha nucleus will be proportional to:
| 1. | \(\frac{1}{Ze} \) | 2. | \(v^2 \) |
| 3. | \(\frac{1}{m} \) | 4. | \(\frac{1}{v^4}\) |
Subtopic: Various Atomic Models |
83%
From NCERT
AIPMT - 2010
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Given that the value of the Rydberg constant is \(10^{7}~\text{m}^{-1}\), what will be the wave number of the last line of the Balmer series in the hydrogen spectrum?
1. \(0.5 \times 10^{7}~\text{m}^{-1}\)
2. \(0.25 \times 10^{7} ~\text{m}^{-1}\)
3. \(2.5 \times 10^{7}~\text{m}^{-1}\)
4. \(0.025 \times 10^{4} ~\text{m}^{-1}\)
1. \(0.5 \times 10^{7}~\text{m}^{-1}\)
2. \(0.25 \times 10^{7} ~\text{m}^{-1}\)
3. \(2.5 \times 10^{7}~\text{m}^{-1}\)
4. \(0.025 \times 10^{4} ~\text{m}^{-1}\)
Subtopic: Spectral Series |
86%
From NCERT
NEET - 2016
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An electron revolves around a nucleus of charge \(Ze\). In order to excite the electron from the state \(n=3\) to \(n=4\), the energy required is \(66.0 ~\text{eV}\).
The value of \(Z\) will be:
1. \(25\)
2. \(10\)
3. \(4\)
4. \(5\)
Subtopic: Bohr's Model of Atom |
66%
From NCERT
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How much is the total energy of an electron in the first orbit of a hydrogen atom equal to?
| 1. | total energy of electron in \(1\text{st}\) orbit of \(\mathrm{He}^{+}\) |
| 2. | total energy of electron in \(3\text{rd}\) orbit of \(\mathrm{He}^{+}\) |
| 3. | total energy of electron in \(2\text{nd}\) orbit of \(\mathrm{Li}^{++}\) |
| 4. | total energy of electron in \(3\text{rd}\) orbit of \(\mathrm{Li}^{++}\) |
Subtopic: Bohr's Model of Atom |
72%
From NCERT
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What is the ratio of the circumference of the first Bohr orbit for the electron in the hydrogen atom to the de-Broglie wavelength of electrons having the same velocity as the electron in the first Bohr orbit of the hydrogen atom?
1. \(1:1\)
2. \(1:2\)
3. \(1:4\)
4. \(2:1\)
1. \(1:1\)
2. \(1:2\)
3. \(1:4\)
4. \(2:1\)
Subtopic: Bohr's Model of Atom |
76%
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In Bohr's model if the atomic radius of the first orbit is \(r_0\), then what will be the radius of the third orbit?
1. \(\frac{r_0}{9}\)
2. \(r_0\)
3. \(9r_0\)
4. \(3r_0\)
1. \(\frac{r_0}{9}\)
2. \(r_0\)
3. \(9r_0\)
4. \(3r_0\)
Subtopic: Bohr's Model of Atom |
86%
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When a hydrogen atom is raised from the ground state to an excited state:
| 1. | its potential energy increases and kinetic energy decreases. |
| 2. | its potential energy decreases and kinetic energy increases. |
| 3. | both kinetic energy and potential energy increase. |
| 4. | both kinetic energy and potential energy decrease. |
Subtopic: Bohr's Model of Atom |
69%
From NCERT
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A beam of fast-moving alpha particles were directed towards a thin film of gold. The parts \(A', B',\) and \(C'\) of the transmitted and reflected beams corresponding to the incident parts \(A,B\) and \(C\) of the beam, are shown in the adjoining diagram. The number of alpha particles in:
| 1. | \(B'\) will be minimum and in \(C'\) maximum |
| 2. | \(A'\) will be maximum and in \(B'\) minimum |
| 3. | \(A'\) will be minimum and in \(B'\) maximum |
| 4. | \(C'\) will be minimum and in \(B'\) maximum |
Subtopic: Various Atomic Models |
66%
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In the \(n^{th}\) orbit, the energy of an electron is \(E_{n}=-\frac{13.6}{n^2} ~\text{eV}\) for the hydrogen atom.
What will be the energy required to take the electron from the first orbit to the second orbit?
1. \(10.2~\text{eV}\)
2. \(12.1~\text{eV}\)
3. \(13.6~\text{eV}\)
4. \(3.4~\text{eV}\)
Subtopic: Bohr's Model of Atom |
80%
From NCERT
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