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The ionization potential of hydrogen atom is − 13.6 V. Photons of energy 12.75 eV are made to incident on sample of H atoms at ground state. How many spectral lines are expected in emitted radiation?
  • a)
    2
  • b)
    6
  • c)
    4
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ionization potential of hydrogen atom is − 13.6 V. Photons o...
E= -13.6 
E= -3.4 
E= -1.5 
E= -0.85 
So, electron can go upto 4th orbit from ground state.
Total no. of ways by which this is possible = 6.
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Most Upvoted Answer
The ionization potential of hydrogen atom is − 13.6 V. Photons o...
Ionization Potential of Hydrogen Atom:
The ionization potential of a hydrogen atom is -13.6 eV.

Energy of Incident Photons:
The energy of the incident photons is 12.75 eV.

Calculation:
- When the incident photons are absorbed by the hydrogen atoms, they can excite the electrons to higher energy levels.
- The difference in energy levels between the ground state and the excited states determines the energy of the emitted photons.
- The formula to calculate the energy of emitted photons is:
Energy of emitted photon = Ionization potential - Energy of incident photons
Energy of emitted photon = -13.6 eV - 12.75 eV
Energy of emitted photon = -26.35 eV

Spectral Lines:
- The energy of the emitted photons corresponds to transitions between different energy levels in the hydrogen atom.
- The transitions can occur from the excited states back to the ground state or between different excited states.
- The number of spectral lines corresponds to the number of possible transitions.
- To calculate the number of spectral lines, we need to consider all possible transitions that result in the emission of photons with energy -26.35 eV.
- The spectral lines correspond to the different energy differences between the excited states and the ground state.
- In this case, there are a total of 6 possible transitions that result in emitted photons with energy -26.35 eV.
Therefore, the expected number of spectral lines in the emitted radiation is 6. Hence, the correct answer is option 'b) 6'.
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The ionization potential of hydrogen atom is − 13.6 V. Photons of energy 12.75 eV are made to incident on sample of H atoms at ground state. How many spectral lines are expected in emitted radiation?a)2b)6c)4d)1Correct answer is option 'B'. Can you explain this answer?
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