The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy?

       
1. \(\mathrm I\)   
2. \(\mathrm{II}\)
3. \(\mathrm{III}\)
4. \(\mathrm{IV}\)

Subtopic:  Spectral Series |
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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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What happens whenever a hydrogen atom emits a photon in the Balmer series?

1. it may emit another photon in the Balmer series.
2. it must emit another photon in the Lyman series.
3. it may emit another photon in the Paschen series.
4. it need not emit any more photon.

Subtopic:  Spectral Series |
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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

Subtopic:  Bohr's Model of Atom |
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Which source is associated with a line emission spectrum? 

1. Electric fibre 

2. Neon street Sign

3. Red traffic light 

4. Sun

Subtopic:  Spectral Series |
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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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The frequency of the series limit of the Balmer series of hydrogen atoms in terms of Rydberg constant \(R\) and velocity of light \(C\) is:
1. \(\frac{RC}{4}\)
2. \(RC\)
3. \(\frac{4}{RC}\)
4. \(4RC\)

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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An α-particle of energy 5 MeV is scattered through 180° by a fixed uranium nucleus. The distance of closest approach is of the order

1. 10-10 m 

2. 10-13 m 

3. 10-14 m 

4. 10-16 m

Subtopic:  Various Atomic Models |
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