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Q. No.In a hypothetical Bohr hydrogen, the mass of the electron is doubled.
What will be the energy \(E_0\) and the radius \(r_0\) of the first orbit?
\((a_0\)
1.
\(E_0=-27.2 ~\text{eV};~r_0={a}_0 / 2\)
2.
\(E_0=-27.2 ~\text{eV}; ~r_0={a}_0\)
3.
\(E_0=-13.6~\text{eV} ; ~r_0={a}_0 / 2\)
4.
\(E_0=-13.6 ~\text{eV}; ~r_0={a}_0\)
Subtopic: Bohr's Model of Atom |
58%
Level 3: 35%-60%
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The electric potential between a proton and an electron is given by \(V = V_0\mathrm{Ln}\left(\frac{r}{r_0}\right)\) where \(r_0\) is a constant. Assuming Bohr’s model to be applicable, the variation of \(r_n\) with \(n\), \(n\) being the principal quantum number, is:
1. \(r_n \propto n\)
2. \(r_n \propto\frac{1}{n}\)
3. \(r_n\propto n^2\)
4. \(r_n \propto\frac{1}{n^2}\)
1. \(r_n \propto n\)
2. \(r_n \propto\frac{1}{n}\)
3. \(r_n\propto n^2\)
4. \(r_n \propto\frac{1}{n^2}\)
Subtopic: Bohr's Model of Atom |
Level 4: Below 35%
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What is the ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra?
| 1. | \(\dfrac{25}{9}\) | 2. | \(\dfrac{17}{6}\) |
| 3. | \(\dfrac{9}{5}\) | 4. | \(\dfrac{4}{3}\) |
Subtopic: Spectral Series |
82%
Level 1: 80%+
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What is the ratio of the largest to shortest wavelengths in the Lyman series of hydrogen spectra?
| 1. | \(\dfrac{25}{9}\) | 2. | \(\dfrac{17}{6}\) |
| 3. | \(\dfrac{9}{5}\) | 4. | \(\dfrac{4}{3}\) |
Subtopic: Spectral Series |
85%
Level 1: 80%+
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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. | \(\dfrac{r_0}{9}\) | 2. | \(r_0\) |
| 3. | \(9r_0\) | 4. | \(3r_0\) |
Subtopic: Bohr's Model of Atom |
87%
Level 1: 80%+
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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 |
71%
Level 2: 60%+
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A beam of fast-moving alpha particles was 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 the 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 |
68%
Level 2: 60%+
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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%
Level 1: 80%+
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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 |
88%
Level 1: 80%+
NEET - 2016
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The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:
| 1. | \(\dfrac{3}{23}\) | 2. | \(\dfrac{7}{29}\) |
| 3. | \(\dfrac{9}{31}\) | 4. | \(\dfrac{5}{27}\) |
Subtopic: Spectral Series |
89%
Level 1: 80%+
AIPMT - 2013
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