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In a mixture of H-He+ gas (He+ is singly ionised He atom), H atoms and He+ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He+ ions (by collisions). Assume that the Bohr model of atom is exactly valid.
The quantum number n of the state finally populated in He+ ions is
Correct answer is '4'. Can you explain this answer?
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Most Upvoted Answer
In a mixture of H-He+ gas (He+ is singly ionised He atom), H atoms an...
Energy Level Diagram
In 
, excitation energy = 10.2 eV
, excitation energy = 10.2 eVWhen H atoms transfer their excitation energy (10.2 eV) to the electron in He⊕, it is further excited to say n = n2.
Thus, 10.2 = 13.6 × 22 × (1/22 - 1/n22)
∴ n2 = 4
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In a mixture of H-He+ gas (He+ is singly ionised He atom), H atoms an...
Explanation:
Initial Excitation:
- H atoms and He+ ions are excited to their respective first excited states.
Energy Transfer:
- H atoms transfer their excitation energy to He+ ions through collisions.
Bohr Model:
- In the Bohr model, the energy levels of an atom are given by E = -13.6 eV/n^2, where n is the principal quantum number.
Energy Transfer:
- The excitation energy of H atoms is transferred to He+ ions, leading to the final state of He+ ions being populated.
Energy Conservation:
- The total energy before and after the energy transfer must be conserved.
Final State:
- Since the H atoms are transferring their excitation energy to He+ ions, the final state of He+ ions will have an energy equal to the sum of the initial excitation energies of H atoms and He+ ions.
Calculating Quantum Number:
- The final energy of He+ ions after receiving excitation energy from H atoms must correspond to the energy level of the fourth excited state (n=4) in the Bohr model.
Therefore, the quantum number n of the state finally populated in He+ ions is 4.
Initial Excitation:
- H atoms and He+ ions are excited to their respective first excited states.
Energy Transfer:
- H atoms transfer their excitation energy to He+ ions through collisions.
Bohr Model:
- In the Bohr model, the energy levels of an atom are given by E = -13.6 eV/n^2, where n is the principal quantum number.
Energy Transfer:
- The excitation energy of H atoms is transferred to He+ ions, leading to the final state of He+ ions being populated.
Energy Conservation:
- The total energy before and after the energy transfer must be conserved.
Final State:
- Since the H atoms are transferring their excitation energy to He+ ions, the final state of He+ ions will have an energy equal to the sum of the initial excitation energies of H atoms and He+ ions.
Calculating Quantum Number:
- The final energy of He+ ions after receiving excitation energy from H atoms must correspond to the energy level of the fourth excited state (n=4) in the Bohr model.
Therefore, the quantum number n of the state finally populated in He+ ions is 4.
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In a mixture of H-He+ gas (He+ is singly ionised He atom), H atoms and He+ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He+ ions (by collisions). Assume that the Bohr model of atom is exactly valid.The quantum number n of the state finally populated in He+ ions isCorrect answer is '4'. Can you explain this answer?
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In a mixture of H-He+ gas (He+ is singly ionised He atom), H atoms and He+ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He+ ions (by collisions). Assume that the Bohr model of atom is exactly valid.The quantum number n of the state finally populated in He+ ions isCorrect answer is '4'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a mixture of H-He+ gas (He+ is singly ionised He atom), H atoms and He+ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He+ ions (by collisions). Assume that the Bohr model of atom is exactly valid.The quantum number n of the state finally populated in He+ ions isCorrect answer is '4'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a mixture of H-He+ gas (He+ is singly ionised He atom), H atoms and He+ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He+ ions (by collisions). Assume that the Bohr model of atom is exactly valid.The quantum number n of the state finally populated in He+ ions isCorrect answer is '4'. Can you explain this answer?.
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