What is the kinetic energy of the electron in an orbit of radius \(r\) in the hydrogen atom?
(\(e\) = electronic charge)
1. \(\dfrac{k e^{2}}{r^{2}}\) 2. \(\dfrac{k e^{2}}{2 r}\)
3. \(\dfrac{k e^{2}}{r}\) 4. \(\dfrac{k e^{2}}{2 r^{2}}\)
Subtopic:  Bohr's Model of Atom |
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Ionisation potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emitted by hydrogen will be:

1. two 

2. three

3. four 

4. one

Subtopic:  Spectral Series |
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Orbital acceleration of electrons is:
1. \(\frac{n^2h^2}{4\pi^2m^2r^3}\)
2. \(\frac{n^2h^2}{4n^2r^3}\)
3. \(\frac{4n^2h^2}{\pi^2m^2r^3}\)
4. \(\frac{4n^2h^2}{4\pi^2m^2r^3}\)

Subtopic:  Bohr's Model of Atom |
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Consider the spectral line resulting from transition \(n=2\) to \(n = 1\) in the atoms and ions given below.  The shortest wavelength is given by:

1. hydrogen atom
2. deuterium
3. singly ionised helium
4. doubly ionised lithium
Subtopic:  Spectral Series |
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Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr's atomic model:

1. 13.6 eV

2. 0.65 eV

3. 1.9 eV

4. 11.1 eV

Subtopic:  Bohr's Model of Atom |
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When a hydrogen atom is raised from the ground state to an excited state 

1. PE decreases and KE increases 

2. PE increases and KE decreases 

3. both KE PE decrease 

4. absorption spectrum

Subtopic:  Bohr's Model of Atom |
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As per the Bohr model, the minimum energy (in eV) required to remove the electron from the ground state of a double ionised lithium ion (\(Z=3\)) is:
1. \(1.51\)
2. \(13.6\)
3. \(40.8\)
4. \(122.4\)

Subtopic:  Bohr's Model of Atom |
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The ionisation energy of a hydrogen atom is \(13.6~\text{eV}\). Following Bohr's theory, what is the energy corresponding to a transition between the \(3^{th}\) and \(4^{th}\) orbit?
1. \(3.40~\text{eV}\)
2. \(1.51~\text{eV}\)
3. \(0.85~\text{eV}\)
4. \(0.66~\text{eV}\)

Subtopic:  Bohr's Model of Atom |
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The ratio of the energies of the hydrogen atom in its first to second excited states is

1. 14 

2. 49

3. 94

4. 4

Subtopic:  Bohr's Model of Atom |
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The velocity of the electron in the ground state (H - atom) is 

1. 2.18×105 m/s   

2. 2.18×106 m/s

3. 2.18×107 m/s   

4. 2.18×108 m/s

Subtopic:  Various Atomic Models |
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