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In a sample of hydrogen like atoms all of which are in ground state, a photon beam containing photons of various energies is passed. In absorption spectrum, five dark lines are observed. The number of bright lines in the emission spectrum will be (Assume that all transitions take place)

  • a)
    5

  • b)
    10

  • c)
    15

  • d)
    None of these

Correct answer is option 'C'. Can you explain this answer?
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Explanation:

In the given scenario, we have a sample of hydrogen-like atoms, all of which are in the ground state. When a photon beam containing photons of various energies is passed through this sample, we observe five dark lines in the absorption spectrum.

Absorption Spectrum:
1. The absorption spectrum is obtained when photons of specific energies are absorbed by the atoms, causing transitions from lower energy levels to higher energy levels.
2. In this case, the observation of five dark lines in the absorption spectrum indicates that there are five specific energy levels in the hydrogen-like atoms that can be excited by the incident photons.

Emission Spectrum:
1. The emission spectrum is obtained when the excited atoms return to their lower energy states and release photons of specific energies.
2. In this case, since all the atoms in the sample are initially in the ground state, they can only undergo transitions to higher energy levels and then return to the ground state.
3. As a result, when these excited atoms emit photons and transition back to the ground state, they can only emit photons of the specific energies corresponding to the five energy levels observed in the absorption spectrum.

Therefore, in the emission spectrum, we will observe five bright lines corresponding to the five energy levels involved in the transitions. Hence, the correct answer is option 'C' - 5.
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In a sample of hydrogen like atoms all of which are in ground state, a photon beam containing photons of various energies is passed. In absorption spectrum, five dark lines are observed. The number of bright lines in the emission spectrum will be (Assume that all transitions take place)a)5b)10c)15d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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