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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The ionisation potential of hydrogen atom is

1. 13.60 volt

2. 8.24 volt

3. 10.36 volt 

4. 14.24 bolt

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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. \(\frac{4n^2h^2}{4\pi^2m^2r^3}\)

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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

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The energy of an electron in an excited hydrogen atom is \(-3.4~\text{eV}\).  Its angular momentum will be:
(\(h = 6.626\times 10^{-34}\) J-s)
1. \(1.11\times 10^{34}~\text{J-s}\)
2. \(1.51\times 10^{-31}~\text{J-s}\)
3. \(2.11\times 10^{-34}~\text{J-s}\)
4. \(3.72\times 10^{-34}~\text{J-s}\)

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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. \(122.4\)

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According to Bohr's theory, the moment of momentum of an electron revolving in second orbit of hydrogen atom will be:
1. \(2\pi h\)
2. \(\pi h\) 
3. \(\frac{h}{\pi}\)
4. \(\frac{2h}{\pi}\)

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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. \(0.66~\text{eV}\)

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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

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The energy of \(24.6\) eV is required to remove one of the electrons from a neutral helium atom. What is the energy (in eV) required to remove both the electrons from a neutral helium atom?
1. \(38.2\)
2. \(49.2\)
3. \(51.8\)
4. \(79.0\)

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