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Q. No.The ratio of the total acceleration of the electron in a singly ionised helium atom and a hydrogen atom (both in the ground state) is:
1. \(1\)
2. \(8\)
3. \(4\)
4. \(16\)
Subtopic: Bohr's Model of Atom |
53%
From NCERT
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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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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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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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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%
From NCERT
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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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The difference between \(n^{th}\) and \((n+1)^{th}\) Bohr's radius of the '\(\mathrm{H}\)' atom is equal to its \((n-1)^{th}\) Bohr's radius. What is the value of \(n\)?
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
Subtopic: Bohr's Model of Atom |
53%
From NCERT
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What is the ratio of the energies of the hydrogen atom in its first and second excited states?
| 1. | \(\dfrac{1}{4}\) | 2. | \(\dfrac{4}{9}\) |
| 3. | \(\dfrac{9}{4}\) | 4. | \(4\) |
Subtopic: Bohr's Model of Atom |
71%
From NCERT
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Which of the following transitions gives a photon the maximum energy?
1. \(n=1 ~\text{to}~n=2\)
2. \(n=2 ~\text{to}~n=1\)
3. \(n=2 ~\text{to}~n=6\)
4. \(n=6 ~\text{to}~n=2\)
1. \(n=1 ~\text{to}~n=2\)
2. \(n=2 ~\text{to}~n=1\)
3. \(n=2 ~\text{to}~n=6\)
4. \(n=6 ~\text{to}~n=2\)
Subtopic: Bohr's Model of Atom |
59%
From NCERT
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